Solved papers for RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

done Rajasthan PET Solved Paper-2002 Total Questions - 300

• question_answer1) The unit of surface tension is
  A)
   N/C              
  done clear
  B)
   N/m
  done clear
  C)
   C/N             
  done clear
  D)
   m/N
  done clear
  View Answer play_arrow

• question_answer2) The unit of Stefan constant is
  A)
   \[W/{{(K)}^{4}}\]           
  done clear
  B)
   \[eV/{{(K)}^{4}}\]
  done clear
  C)
   \[W/{{(m)}^{2}}{{(K)}^{4}}\]    
  done clear
  D)
   \[eV/{{(m)}^{2}}{{(K)}^{4}}\]
  done clear
  View Answer play_arrow

• question_answer3) A ball is projected on the strain from the horizontal with velocity u. The maximum number of strains that can be completed crossed is
  A)
   \[\frac{2{{u}^{2}}h}{g{{b}^{2}}}\]
  done clear
  B)
   \[\frac{{{u}^{2}}h}{g{{b}^{2}}}\]
  done clear
  C)
   \[\frac{2{{u}^{2}}b}{gh}\]
  done clear
  D)
   \[\frac{{{u}^{2}}b}{gh}\]  
  done clear
  View Answer play_arrow

• question_answer4) The acceleration a of moving body from rest is 2 (t - 1). Then, the velocity at 5 s will be
  A)
   15 m/s           
  done clear
  B)
   25 m/s
  done clear
  C)
   35 m/s           
  done clear
  D)
   45 m/s
  done clear
  View Answer play_arrow

• question_answer5) The positive charged ball is suspended by thread of silk. If we place a positive charge\[{{q}_{0}}\]at one point and measure the\[F/{{q}_{0}},\]then this can say that electric field E
  A)
   \[>\frac{F}{{{q}_{0}}}\]
  done clear
  B)
   \[=\frac{F}{{{q}_{0}}}\]
  done clear
  C)
   \[=\frac{F}{{{q}_{0}}}\]
  done clear
  D)
   \[Can't\,be\,measured\]
  done clear
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• question_answer6) If \[Z=\frac{a{{b}^{2}}}{{{c}^{3}}}\], then what is the error in Z? The errors in a, b, c are\[\alpha \],\[\beta \]and \[\gamma \] respectively
  A)
   \[\alpha \] + 2\[\beta \] - 3\[\gamma \]       
  done clear
  B)
  \[\alpha \]- 2\[\beta \] + 3\[\gamma \]
  done clear
  C)
   2 \[\alpha \]+ 3\[\beta \] +\[\gamma \]        
  done clear
  D)
   \[\alpha \] + 2\[\beta \]+ 3\[\gamma \]
  done clear
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• question_answer7) The momenta of two particles of masses m and 2m are 2p and p respectively. The ratio of their kinetic energies will be
  A)
   2 : 1             
  done clear
  B)
   4 : 1
  done clear
  C)
   1 : 8             
  done clear
  D)
   8 : 1
  done clear
  View Answer play_arrow

• question_answer8) If the escape velocity at the earth is 11.2 km/s, then what will be the escape velocity of planet having mass 4 times of earth and gravitational acceleration equal to earth?
  A)
   7.9 m/s          
  done clear
  B)
   11.2 km/s
  done clear
  C)
   15.7 km/s        
  done clear
  D)
   None of these
  done clear
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• question_answer9) The ratio of radii to the gravitational acceleration of planets X and Y are R and a respectively. The ratio of escape velocities at them, is
  A)
   \[\sqrt{aR}\]                  
  done clear
  B)
   \[\frac{1}{\sqrt{aR}}\]
  done clear
  C)
   \[aR\]            
  done clear
  D)
   \[\frac{1}{aR}\]
  done clear
  View Answer play_arrow

• question_answer10) If the range and time period of projectile are related to\[R=5{{T}^{2}},\]then the angle of projection will be
  A)
   \[\pi /2\]             
  done clear
  B)
   \[\pi /3\]
  done clear
  C)
   \[\pi /4\]                   
  done clear
  D)
   \[\pi /6\]
  done clear
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• question_answer11) If two masses\[{{m}_{1}}\]and\[{{m}_{2}}\]are dropped freely from the heights\[{{h}_{1}}\]and\[{{h}_{2}}\]respectively, then the ratio of times to reach on earth will be
  A)
   \[\sqrt{\frac{{{h}_{2}}}{{{h}_{1}}}}\]              
  done clear
  B)
   \[\sqrt{\frac{{{h}_{1}}}{{{h}_{2}}}}\]
  done clear
  C)
   \[\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]                   
  done clear
  D)
   \[\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]
  done clear
  View Answer play_arrow

• question_answer12) A vehicle starting the motion on any curve path, then how much distance will it cover?
  A)
   \[\frac{{{u}^{2}}}{4\mu g}\]
  done clear
  B)
   \[\frac{{{u}^{2}}}{3\mu g}\]
  done clear
  C)
   \[\frac{{{u}^{2}}}{2\mu g}\]
  done clear
  D)
   None of these
  done clear
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• question_answer13) At which of the following positions, the acceleration of the particle in SUM will be maximum?
  A)
   At mean position
  done clear
  B)
   At peak position
  done clear
  C)
   At half position of amplitude
  done clear
  D)
   None of the above
  done clear
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• question_answer14) For following arrangement, the value of equivalent force constant is                     
  A)
   \[\frac{3}{2}k\]
  done clear
  B)
   \[\frac{2}{3}k\]
  done clear
  C)
   \[2k\]
  done clear
  D)
   \[3k\]
  done clear
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• question_answer15) The amplitude of any damped oscillation becomes half in 1 min. After 3 s, its amplitude becomes\[\frac{1}{x}\] times of initial amplitude, then\[x\]is \[x\]
  A)
   \[2\times 3\]            
  done clear
  B)
   \[{{2}^{3}}\]
  done clear
  C)
   \[{{3}^{2}}\]             
  done clear
  D)
   \[3\times {{2}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer16) In friction, the relation between coefficient of kinetic friction \[{{\mu }_{k}}\]and coefficient of static friction \[{{\mu }_{s}}\]is
  A)
   \[{{\mu }_{k}}\ge {{\mu }_{s}}\]           
  done clear
  B)
   \[{{\mu }_{k}}={{\mu }_{s}}\]
  done clear
  C)
   \[{{\mu }_{k}}\le {{\mu }_{s}}\]          
  done clear
  D)
   None of these
  done clear
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• question_answer17) The ratio of translational kinetic energy to the total kinetic energy for rolling motion of solid sphere without sliding will be
  A)
   \[\frac{2}{7}\]             
  done clear
  B)
   \[\frac{7}{2}\]
  done clear
  C)
   \[\frac{5}{7}\]            
  done clear
  D)
   \[\frac{7}{5}\]
  done clear
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• question_answer18) The two particles A and B remain at rest position. Both of them due to their attraction forces move towards each other. At any instant the velocity of A is v. At that instant velocity of B is 2v. The velocity of centre- of mass of the system will be
  A)
   v                  
  done clear
  B)
   zero
  done clear
  C)
   1.5 v              
  done clear
  D)
   3v
  done clear
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• question_answer19) The dimensional formula of latent heat is
  A)
   [MLT]          
  done clear
  B)
   \[[{{M}^{0}}{{L}^{2}}{{T}^{-2}}]\]
  done clear
  C)
   \[[{{M}^{2}}{{L}^{2}}2]\]       
  done clear
  D)
   \[[M{{L}^{0}}{{T}^{-2}}]\]
  done clear
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• question_answer20) A hollow cylinder and a solid cylinder having same mass and diameter are rolled at inclined plane, then which will reach first at the bottom?
  A)
   Both at same time              
  done clear
  B)
   Hollow cylinder                 
  done clear
  C)
   Solid cylinder                    
  done clear
  D)
   Which has more density          
  done clear
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• question_answer21) A ball is dropped towards the earth from height h, then after three jumps what will be value of height?
  A)
   \[{{e}^{h/3}}\]            
  done clear
  B)
   \[h{{e}^{6}}\]
  done clear
  C)
   \[he\]              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer22) In projectile motion, the value of horizontal range is                          
  A)
   \[{{u}^{2}}{{\sin }^{2}}\theta /g\]      
  done clear
  B)
   \[\frac{2{{u}^{2}}\sin \theta \cos \theta }{g}\]
  done clear
  C)
   \[\frac{{{u}^{2}}\sin 2\theta }{2g}\]        
  done clear
  D)
   \[\frac{{{u}^{2}}\cos 2\theta }{g}\]
  done clear
  View Answer play_arrow

• question_answer23) A player takes a complete round in path of radius R in 40 s. After 2 min 20 s, its displacement will be                
  A)
   zero              
  done clear
  B)
   2R          
  done clear
  C)
   \[2\pi R\]            
  done clear
  D)
   \[7\pi R\]
  done clear
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• question_answer24) Mars is revolving around the sun in elliptical orbit. Its velocity is minimum on      
  A)
   D              
  done clear
  B)
   C    
  done clear
  C)
   B               
  done clear
  D)
   A         
  done clear
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• question_answer25) If the mass and radius of planet are twice the earth, then time period of second pendulum on planet will be                         
  A)
   1 s
  done clear
  B)
   2 s            
  done clear
  C)
   \[2\sqrt{2\,s}\]           
  done clear
  D)
   \[\frac{1}{2\sqrt{2}}s\]
  done clear
  View Answer play_arrow

• question_answer26) The particle of mass m moves with velocity v0 and strikes with suspended pendulum of same mass as shown in figure. After completely in elastic collision, the greatest height by particle and pendulum is
  A)
   \[\frac{{{v}_{0}}^{2}}{4g}\]
  done clear
  B)
   \[\frac{{{v}_{0}}^{2}}{8g}\]
  done clear
  C)
   \[\frac{{{v}_{0}}^{2}}{g}\]
  done clear
  D)
   \[\frac{4{{v}_{0}}^{2}}{g}\]
  done clear
  View Answer play_arrow

• question_answer27) In gas, the velocity of sound is v = \[\sqrt{\frac{\gamma RT}{M}}\], the dimensions of \[\gamma \] are
  A)
   \[[{{M}^{0}}{{T}^{0}}{{T}^{0}}]\]      
  done clear
  B)
   \[[ML{{T}^{-2}}]\]
  done clear
  C)
   \[[ML{{T}^{-2}}]\]        
  done clear
  D)
   \[[L{{T}^{-2}}]\]
  done clear
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• question_answer28) The minimum distance of reflected surface from the source for listening the echo of sound is
  A)
   28 m             
  done clear
  B)
   18 m
  done clear
  C)
   19 m             
  done clear
  D)
   16.5 m
  done clear
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• question_answer29) Two sound waves of wavelengths 5 m and 6 m formed 30 beats in 3 s. The velocity of sound is
  A)
   300 m/s         
  done clear
  B)
   310 m/s
  done clear
  C)
   320 m/s         
  done clear
  D)
   330 m/s
  done clear
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• question_answer30) Two waves are in phase when
  A)
   amplitude is same
  done clear
  B)
   wavelength is same
  done clear
  C)
   amplitude and wavelength are same
  done clear
  D)
   phase difference remains constant
  done clear
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• question_answer31) The effective capacity between points x and y is
  A)
   C                
  done clear
  B)
   2C/3
  done clear
  C)
   3C/2            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer32) Newton's law of cooling derived by
  A)
   Stefan's law
  done clear
  B)
   Kirchhoffs law
  done clear
  C)
   Wien's displacement law
  done clear
  D)
   None of the above
  done clear
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• question_answer33) Which of the following laws explains the spectrum of black body?
  A)
   Rayleigh - Jeans's law
  done clear
  B)
   Planck's law
  done clear
  C)
   Wien's displacement law
  done clear
  D)
   Stefan's law
  done clear
  View Answer play_arrow

• question_answer34) The magnetic field at centre P is
  A)
   \[\frac{{{\mu }_{0}}I}{4r}\]
  done clear
  B)
   \[\frac{{{\mu }_{0}}I}{2r}\]
  done clear
  C)
   \[\frac{{{\mu }_{0}}I}{8r}\]
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer35) The magnetic field at centre of coil having radius r and current I will be
  A)
   \[\frac{{{\mu }_{0}}I}{4r}\]                 
  done clear
  B)
   \[\frac{{{\mu }_{0}}I}{2r}\]
  done clear
  C)
   zero              
  done clear
  D)
   \[\frac{{{\mu }_{0}}I}{r}\]
  done clear
  View Answer play_arrow

• question_answer36) The two charges 7 \[\mu \] C and - 5\[\mu \] C are placed at some distance from each other. They experience a force F. If each of them is given and additional charge of - 2\[\mu \]C, the new force of attraction will be
  A)
   F               
  done clear
  B)
   2F
  done clear
  C)
   F/2             
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer37) \[{{F}_{g}}\] and\[{{F}_{g}}\]represent the gravitational and electric forces between the electrons at distance 10 cm, then the ratio of \[\frac{{{F}_{g}}}{{{F}_{e}}}\] will be
  A)
   \[{{10}^{42}}\]             
  done clear
  B)
   10
  done clear
  C)
   1                
  done clear
  D)
   \[{{10}^{-43}}\]
  done clear
  View Answer play_arrow

• question_answer38) The stored energy in capacitor will be
  A)
   \[\frac{1}{2}{{C}^{2}}V\]
  done clear
  B)
   \[\frac{1}{2}QV\]
  done clear
  C)
   \[\frac{1}{2}Q{{V}^{2}}\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer39) The capacity of spherical conductor is 0.1 \[\mu \] F, then its radius will be
  A)
   90 m            
  done clear
  B)
   900 m
  done clear
  C)
   9000 m          
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer40) Burning 1 g coal gives 2 kcal useful energy. For 1 kWh, the quantity of coal needed will be
  A)
   \[9kg\]
  done clear
  B)
   \[\frac{4}{3}kg\]
  done clear
  C)
   \[\frac{3}{7}kg\]
  done clear
  D)
   \[\frac{3}{14}kg\]  
  done clear
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• question_answer41) The current I in B circuit is           
  A)
   0.4 A           
  done clear
  B)
   \[-0.4\text{ }A\]        
  done clear
  C)
   0.8 A                          
  done clear
  D)
   \[-0.08\text{ }A\]                   
  done clear
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• question_answer42) The current\[I\] in the following circuit is
  A)
   8 A
  done clear
  B)
   16 A             
  done clear
  C)
   12 A        
  done clear
  D)
   24 A          
  done clear
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• question_answer43) According to Kirchhoffs law the algebraic sum of currents meeting at a junction is
  A)
   limited          
  done clear
  B)
   zero
  done clear
  C)
   infinite          
  done clear
  D)
   None of these
  done clear
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• question_answer44) If a container filled by the ideal gas keeps in the moving car, the temperature of the gas
  A)
   will be increased
  done clear
  B)
   will be decreased
  done clear
  C)
   will remain unchanged
  done clear
  D)
   None of the above
  done clear
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• question_answer45) The number of turns of primary and secondary coils of transformer are 500 and 5000 respectively. The voltage and frequency of primary coil are 800 V and 50 Hz respectively, then the frequency and voltage of secondary coil will be
  A)
   50 Hz, 8000 V    
  done clear
  B)
   800 Hz, 800 V
  done clear
  C)
   50 Hz, 80 V      
  done clear
  D)
   50 Hz, 800 V
  done clear
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• question_answer46) If an ideal gas filled in a closed container and the container is open in vacuum, then its temperature will be
  A)
   increased        
  done clear
  B)
   decreased
  done clear
  C)
   unchanged       
  done clear
  D)
   None of these
  done clear
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• question_answer47) In apparatus the values of potential V and flowing current I are given this type \[V=2\text{ }cos\omega \] t volt \[I~=2\text{ }sin\,\omega \] t amp Then, in apparatus the power dissipated will be
  A)
   zero             
  done clear
  B)
   1.2 W
  done clear
  C)
   4 W             
  done clear
  D)
   2.0 W
  done clear
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• question_answer48) The power dissipated in AC circuit will be
  A)
   \[\frac{{{V}_{0}}}{\sqrt{2}}\,\frac{{{I}_{0}}}{\sqrt{2}}\,\cos \,\phi \]
  done clear
  B)
   \[{{V}_{0}}{{I}_{0}}\cos \phi \]
  done clear
  C)
   \[\frac{{{V}_{0}}{{I}_{0}}}{4}\,\cos \phi \]         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer49) In AC circuit, in resonant position, the reading of which voltmeter is zero? 
  A)
   \[{{V}_{1}}\]     
  done clear
  B)
   \[{{V}_{2}}\]
  done clear
  C)
   \[{{V}_{3}}\] 
  done clear
  D)
   \[{{V}_{4}}\]
  done clear
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• question_answer50) 1 cm 3 water at 1 atm pressure and\[100{}^\circ C\] converts into\[1671\text{ }c{{m}^{3}}\]steam by taking 54 cal heat. The work done (in cal) during this process will be
  A)
   400             
  done clear
  B)
   40
  done clear
  C)
   540             
  done clear
  D)
   None of these
  done clear
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• question_answer51) In   the   following circuit, the value of charge on capacitor of capacity 5 \[\mu \] F will be
  A)
   4.5 \[\mu \]C   
  done clear
  B)
   9.0 \[\mu \]C           
  done clear
  C)
   7 \[\mu \]C            
  done clear
  D)
   30 \[\mu \]C
  done clear
  View Answer play_arrow

• question_answer52) Shown in the given diagram, the electric potential energy of the system will be \[\left( k=\frac{1}{4\pi {{\varepsilon }_{0}}} \right)\]
  A)
   \[\frac{k{{q}^{2}}}{a}[\sqrt{2}-4]\]
  done clear
  B)
   \[\frac{k{{q}^{2}}}{a}\]
  done clear
  C)
   \[0\]
  done clear
  D)
   \[\frac{kq}{a}[\sqrt{2}-4]\]
  done clear
  View Answer play_arrow

• question_answer53) For balanced Wheatstone bridge, the value of  resistance R will be
  A)
   8\[\Omega \]  
  done clear
  B)
   4\[\Omega \]
  done clear
  C)
   2\[\Omega \]               
  done clear
  D)
   6\[\Omega \]
  done clear
  View Answer play_arrow

• question_answer54) In the full-wave rectifier, the output frequency will be
  A)
   n                 
  done clear
  B)
   2n
  done clear
  C)
   n/2               
  done clear
  D)
  \[{{n}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer55) The adiabatic coefficient of a gas is 7/5 .This gas will be
  A)
   He              
  done clear
  B)
   Ar
  done clear
  C)
   Ne               
  done clear
  D)
   \[{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer56) In the circuit shown in figure, neglecting source resistance the voltmeter and ammeter readings will respectively be (V = 240V)
  A)
   0, 3 A            
  done clear
  B)
   150 V, 3 A
  done clear
  C)
   150 V, 6 A        
  done clear
  D)
   0, 8 A
  done clear
  View Answer play_arrow

• question_answer57) Find the value of current I in the given circuit
  A)
   1 A              
  done clear
  B)
   4 A
  done clear
  C)
   5 A              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer58) In nth orbit, the angular velocity of electrons is proportional to
  A)
   \[{{n}^{-1}}\]             
  done clear
  B)
   \[{{n}^{-2}}\]
  done clear
  C)
   \[{{n}^{-3}}\]             
  done clear
  D)
   \[{{n}^{-4}}\]
  done clear
  View Answer play_arrow

• question_answer59) Choose the correct relation
  A)
   \[y=\,\frac{mglL}{\pi {{r}^{2}}l}\]          
  done clear
  B)
   \[y=\,\frac{mgL}{\pi rl}\]
  done clear
  C)
   \[y=\,\frac{mg{{\pi }^{2}}}{\pi L}\]
  done clear
  D)
   \[y=\,\frac{mgr}{\pi L}\]
  done clear
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• question_answer60) Choose the right relation.
  A)
   \[{{t}_{1/2}}=0.693{{t}_{av}}\]
  done clear
  B)
   \[{{t}_{av}}=0.693{{t}_{1/2}}\]
  done clear
  C)
   \[{{t}_{1/2}}=0.414{{t}_{av}}\] 
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer61) The nature of bond in diamond is
  A)
   ionic            
  done clear
  B)
   covalent
  done clear
  C)
   van der Waals'   
  done clear
  D)
   metallic
  done clear
  View Answer play_arrow

• question_answer62) Which of the following experiments does represent the wave nature of electrons?
  A)
   Davisson- Germer
  done clear
  B)
   de-Broglie
  done clear
  C)
   Rutherford
  done clear
  D)
   Millikan oil drop
  done clear
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• question_answer63) The velocity of an electron in the second orbit of sodium atom (atomic number = 1, 1) is v. The velocity of an electron in its fifth orbit will be
  A)
   \[v\]
  done clear
  B)
   \[\frac{22}{5}v\]
  done clear
  C)
   \[\frac{3}{2}v\]
  done clear
  D)
   \[\frac{2}{5}v\]
  done clear
  View Answer play_arrow

• question_answer64) Choose the right equation.
  A)
   \[\frac{h\lambda }{E}=E\]
  done clear
  B)
   \[h\lambda =\frac{E}{c}\]
  done clear
  C)
   \[\frac{hc}{E}=\lambda \]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer65) The temperature of star is 6060 K and maximum radiation emitted at 4653 A. For another star, the maximum radiation emitted at 4545 A. The temperature of another star will be
  A)
   300 K           
  done clear
  B)
   6204 K
  done clear
  C)
   3000 K          
  done clear
  D)
   120 K
  done clear
  View Answer play_arrow

• question_answer66) In a double-slit experiment, the slits are separated by a distance d and the screen is at a distance D from the slits. For monochromatic source of wavelength X, the width of emitted fringe will be
  A)
   \[\beta =\frac{D\lambda }{d}\]
  done clear
  B)
   \[\beta =\frac{d\lambda }{D}\]
  done clear
  C)
   \[\beta =\frac{D\lambda }{d}\]          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer67) A body is walking away from a wall towards an observer at a speed of 2 m/s and blows a whistle whose frequency is 680 Hz. The number of beats heard by the observed per second is (velocity of sound in air = 340 m/s)
  A)
   zero            
  done clear
  B)
   2
  done clear
  C)
   8               
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer68) A light ray incidents at angle of\[60{}^\circ \]in denser medium in such a way so that reflected and refracted rays remain perpendicular to each other. Refractive index of denser medium relative to rarer medium will be
  A)
   \[\mu =\sqrt{3}\]            
  done clear
  B)
   \[\mu =\frac{1}{\sqrt{3}}\]
  done clear
  C)
   \[\mu =\sqrt{2}\]
  done clear
  D)
   \[\mu =\frac{1}{\sqrt{2}}\]
  done clear
  View Answer play_arrow

• question_answer69) For uranium nucleus, the value of nucleon binding energy will be
  A)
   7.6eV           
  done clear
  B)
   7.6 \[\mu \]eV
  done clear
  C)
   7.6 MeV        
  done clear
  D)
   7.6 keV
  done clear
  View Answer play_arrow

• question_answer70) The kinetic energy of neutron at temperature 300 K will be\[(m=1.67\times {{10}^{-27}}kg)\]
  A)
   \[6.21\times ~{{10}^{-21}}J\]    
  done clear
  B)
  \[8.2\times {{10}^{-21}}J\]
  done clear
  C)
   \[9\times {{10}^{-21}}J\]       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer71) By which of the following the nucleus can't be cleaved?
  A)
   \[\alpha -\] ray              
  done clear
  B)
   \[\gamma \] -ray
  done clear
  C)
   \[\beta \]-ray              
  done clear
  D)
   Laser
  done clear
  View Answer play_arrow

• question_answer72) Which of the following is not semiconductor?
  A)
   \[Si\]              
  done clear
  B)
   \[Ge\]
  done clear
  C)
  \[NaCl\]            
  done clear
  D)
   \[Cds\]
  done clear
  View Answer play_arrow

• question_answer73) For good emissive should be
  A)
   small work function and small melting point
  done clear
  B)
   small work function and high melting point
  done clear
  C)
   high work function and high melting point
  done clear
  D)
   high work function and small melting point
  done clear
  View Answer play_arrow

• question_answer74) The retarding potential for having zero photo-electron current
  A)
   is proportional to the wavelength of incident light
  done clear
  B)
   increases uniformly with the increase in the wavelength of incident light
  done clear
  C)
   is proportional to the frequency of incident light
  done clear
  D)
   increases uniformly with the increase in the frequency of incident light wave
  done clear
  View Answer play_arrow

• question_answer75) From molecular theory of gas which of the following quantities at certainly for all gases will be same?
  A)
   Momentum      
  done clear
  B)
   Kinetic energy
  done clear
  C)
   Velocity         
  done clear
  D)
   Mass
  done clear
  View Answer play_arrow

• question_answer76) At a given temperature the root mean square velocity of which gas is minimum?
  A)
   \[{{O}_{2}}\]              
  done clear
  B)
   \[{{N}_{2}}\]
  done clear
  C)
   \[C{{l}_{2}}\]              
  done clear
  D)
   He
  done clear
  View Answer play_arrow

• question_answer77) The resonant frequency of the following circuit is                   
  A)
   9.3 Hz          
  done clear
  B)
   79 Hz
  done clear
  C)
   930 Hz           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer78) Which of the following instruments depends upon the coil which rotates in the magnetic field?
  A)
   Electric motor    
  done clear
  B)
   Dynamo
  done clear
  C)
   Both [a] & [b]     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer79) The principle of dynamo is
  A)
   electromagnetic induction
  done clear
  B)
   magnetic induction
  done clear
  C)
   electric induction
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer80) In a adiabatic process, initial pressure is 2 atm and final volume is half of initial volume, then final pressure will be (\[\gamma \] = 1.3)
  A)
   \[{{2}^{2.3}}\]atm          
  done clear
  B)
   4 atm
  done clear
  C)
   6 atm            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer81) Mutual conductance of triode is
  A)
   \[{{\left( \frac{\Delta {{I}_{p}}}{\Delta {{V}_{g}}} \right)}_{{{V}_{P}}\text{=}\,\text{constant}}}\]
  done clear
  B)
   \[{{\left( \frac{\Delta {{V}_{g}}}{\Delta {{I}_{g}}} \right)}_{{{V}_{g}}\text{=}\,\text{constant}}}\]
  done clear
  C)
   \[{{\left( \frac{\Delta {{I}_{p}}}{\Delta {{V}_{p}}} \right)}_{{{V}_{g}}\text{=}\,\text{constant}}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer82) The potential of illuminate cathode, grid and plate of triode valve are 0, -3 and 80 V respectively. An electron moves with the kinetic energy of 5eV from the surface of cathode. On reaching the grid, the kinetic energy of electron will be
  A)
   15 eV           
  done clear
  B)
   2 eV
  done clear
  C)
   85 eV            
  done clear
  D)
   30 eV
  done clear
  View Answer play_arrow

• question_answer83) In photo-electric experiment, for incident light of 4000\[\overset{o}{\mathop{\text{A}}}\,\]the stopping potential is 2 V. If the value of incident light is changed to 3000\[\overset{o}{\mathop{\text{A}}}\,\], the stopping potential will be
  A)
   2 V              
  done clear
  B)
   less than 2 V
  done clear
  C)
   zero             
  done clear
  D)
   more than 2 V
  done clear
  View Answer play_arrow

• question_answer84) In nuclear fusion the order of binding energy is
  A)
   \[{{10}^{6}}eV\]          
  done clear
  B)
   \[{{10}^{7}}eV\]
  done clear
  C)
   \[{{10}^{5}}eV\]           
  done clear
  D)
   \[{{10}^{9}}eV\]
  done clear
  View Answer play_arrow

• question_answer85) Choose the correct relation.
  A)
   \[B=\frac{\Delta p}{-\Delta V/V}\]    
  done clear
  B)
   \[B=-\frac{\Delta V/V}{\Delta p}\]
  done clear
  C)
   \[B=\frac{\Delta p}{\Delta V}\]         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer86) The root mean square velocity and density of ideal gas are 1840 m/s and \[0.8\text{ }kg/{{m}^{3}}\]respectively. Its pressure will be
  A)
   \[9.02\times {{10}^{5}}N/{{m}^{2}}\]   
  done clear
  B)
   \[0.02\times {{10}^{4}}N/{{m}^{2}}\]
  done clear
  C)
   \[9.02\times {{10}^{3}}N/{{m}^{2}}\]   
  done clear
  D)
   \[9.02\times {{10}^{6}}N/{{m}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer87) If the pressure at half depth of river is\[\frac{2}{3}\]times of pressure of that bottom, then depth of river is
  A)
   10 m             
  done clear
  B)
   20 m
  done clear
  C)
   60 m            
  done clear
  D)
   30 m
  done clear
  View Answer play_arrow

• question_answer88) Two equal drops of water with a velocity v is falling in air. If both drops are mixed, then velocity will be
  A)
   \[2v\]                
  done clear
  B)
   \[\sqrt{2v}\]
  done clear
  C)
   \[{{2}^{2/3}}v\]
  done clear
  D)
   \[\frac{v}{\sqrt{2}}\]
  done clear
  View Answer play_arrow

• question_answer89) 800 identical water drops are combined to form a big drop. Then, the ratio of the final surface energy to the initial surface energy of all the drops together is
  A)
   1 : 10            
  done clear
  B)
   1 : 15
  done clear
  C)
   1 : 20            
  done clear
  D)
   1 : 25
  done clear
  View Answer play_arrow

• question_answer90) Three light bulbs of 100 W, 200 W and 40 W are connected in series with 200 V source. The current will be
  A)
   maximum in bulb of 100 W
  done clear
  B)
   maximum in bulb of 200 W
  done clear
  C)
   maximum in bulb of 40 W
  done clear
  D)
   equal in all
  done clear
  View Answer play_arrow

• question_answer91) A gas mixture consists of 2 moles of oxygen and 4 moles of argan at temperature T. Neglecting all vibrational moles, the total internal energy of the system is
  A)
   4 RT            
  done clear
  B)
   15 RT
  done clear
  C)
   9 RT             
  done clear
  D)
   11 RT
  done clear
  View Answer play_arrow

• question_answer92) One mole (\[\gamma \]= 5/3) of monoatomic gas mixture and the one mole of diatomic gas (\[\gamma \]=7/5]. For mixtured the value of y will be
  A)
   1.40             
  done clear
  B)
   1.50
  done clear
  C)
   1.53             
  done clear
  D)
   3.07
  done clear
  View Answer play_arrow

• question_answer93) The weight of a metal piece in air is 46 g. When it is immersed in a liquid of relative density 1.24 at \[27{}^\circ C,\]then its weight becomes 30 g. When its temperature increases to\[42{}^\circ ,\]the weight of metal piece becomes 30.5 g. If the relative density of liquid at\[42{}^\circ C\]is 1.2, the coefficient of linear expansion of metal will be
  A)
   \[4.3\,\times \,{{10}^{-5}}{{/}^{o}}C\]
  done clear
  B)
   \[2.3\,\times \,{{10}^{-5}}{{/}^{o}}C\]
  done clear
  C)
   \[5.3\,\times \,{{10}^{-5}}{{/}^{o}}C\]
  done clear
  D)
   \[3.4\,\times \,{{10}^{-5}}{{/}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer94) How many will be the heat generate in resistance of 500\[\Omega \], when the switch comes from position 1 to position 2?
  A)
   40\[\times \]\[{{10}^{-3}}J\]
  done clear
  B)
   \[50\times \,{{10}^{-3}}J\]
  done clear
  C)
   \[60\times \,{{10}^{-3}}J\]
  done clear
  D)
   \[30\times \,{{10}^{-3}}J\]
  done clear
  View Answer play_arrow

• question_answer95) A short circuited coil is placed in magnetic field at any time. Power loss in coil occurs due to generated induced current. If number of turns becomes 4 times and radius of wire becomes half, then the loss of electric power will be
  A)
   half               
  done clear
  B)
   equal
  done clear
  C)
   two times       
  done clear
  D)
   four times
  done clear
  View Answer play_arrow

• question_answer96) The magnetic field induction at centre O will be
  A)
   \[\frac{3{{\mu }_{0}}{{I}_{a}}}{4a}\]
  done clear
  B)
   \[\frac{{{\mu }_{0}}{{I}_{a}}}{4\pi a}(1+\pi )\]
  done clear
  C)
   \[\frac{{{\mu }_{0}}I}{4\pi a}\]
  done clear
  D)
   \[\frac{3{{\mu }_{0}}I}{8a}\]
  done clear
  View Answer play_arrow

• question_answer97) Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreased by 2% keeping all other quantities same, then
  A)
   g decreases by 2% and K decreases by 4%
  done clear
  B)
   g decreases by 4% and K increases by 2%
  done clear
  C)
   g increases by 4% and K increases by 4%
  done clear
  D)
   g decreases by 4% and K increases by 4%
  done clear
  View Answer play_arrow

• question_answer98) The gravitational force between the point masses m and M is F. Now if an another point mass 2m placed in front and touch of m, then force on M due to m and total force on M will be
  A)
   2F, F            
  done clear
  B)
   F, 2F
  done clear
  C)
   F, 3F            
  done clear
  D)
   F, F
  done clear
  View Answer play_arrow

• question_answer99) Beat is listened by two sound sources of same amplitude and same frequency. Intensity of sound of maximum beat as compare to the intensity of any source will be
  A)
  equal
  done clear
  B)
   two times
  done clear
  C)
   four times
  done clear
  D)
   eight times
  done clear
  View Answer play_arrow

• question_answer100) The equation of wave is \[y=0.5\text{ }sin(101+x),\] This is moving along x-axis. Its velocity is
  A)
   10 m/s           
  done clear
  B)
   20 m/s
  done clear
  C)
   5 m/s            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer101) In the following reaction the product will be\[C{{H}_{3}}COOH+H-\overset{\begin{smallmatrix}  O \\  || \end{smallmatrix}}{\mathop{C}}\,-O-H\xrightarrow[{}]{MnO}\]Product
  A)
   \[HCHO\]
  done clear
  B)
   \[C{{H}_{3}}C{{H}_{2}}CHO\]
  done clear
  C)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-H\]
  done clear
  D)
   \[C{{H}_{3}}OH\]
  done clear
  View Answer play_arrow

• question_answer102)  X, will be
  A)
   caprolactum     
  done clear
  B)
   phenol
  done clear
  C)
       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer103) In the following reaction the product will be \[C{{H}_{3}}-Mg-Cl+N{{H}_{2}}-Cl\xrightarrow[{}]{{}}\]Product
  A)
   \[C{{H}_{3}}-C{{H}_{2}}N{{H}_{2}}\]  
  done clear
  B)
  \[C{{H}_{3}}-N{{H}_{2}}\]
  done clear
  C)
   \[C{{H}_{3}}-Cl\]       
  done clear
  D)
  \[C{{H}_{3}}-Mg-N{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer104)   Here X, will be
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer105)  Above conversion is done by
  A)
   \[Sn/HCl\]
  done clear
  B)
   \[SnC{{l}_{2}}+HCl\]
  done clear
  C)
   \[N{{a}_{2}}S\]
  done clear
  D)
   \[Na-Hg\]
  done clear
  View Answer play_arrow

• question_answer106) Which of the following is nucleophilic pair?
  A)
   \[\overset{\text{O-}}{\mathop{C}}\,\equiv N,R{{S}^{\text{O-}}}\]
  done clear
  B)
   \[{}_{\bullet }^{\bullet }{{C}^{\text{O-}}},AlC{{l}_{3}}\]
  done clear
  C)
   \[B{{r}_{2}},ZnC{{l}_{2}}\]
  done clear
  D)
  \[\overset{\text{O-}}{\mathop{R}}\,\overset{\oplus }{\mathop{M}}\,gX,{{H}^{\oplus }}\]
  done clear
  View Answer play_arrow

• question_answer107) In the following reaction the product will be
  A)
   
  done clear
  B)
   phenol
  done clear
  C)
   benzoic acid
  done clear
  D)
   benzaldehyde
  done clear
  View Answer play_arrow

• question_answer108) What is the name of the following reaction?
  A)
   Friedel Craft's reaction
  done clear
  B)
   Wurtz-Fittig reaction
  done clear
  C)
   Perkin's reaction
  done clear
  D)
   Frenkland reaction
  done clear
  View Answer play_arrow

• question_answer109) \[C{{H}_{2}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-H+HCN\to X\xrightarrow[{}]{{{H}_{2}}S{{O}_{4}}}\]Lactic acid In the reaction X, will be
  A)
   acetone
  done clear
  B)
   acetic acid
  done clear
  C)
   acetaldehyde cyanohydrin
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer110) IUPAC name of following compound will be \[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\mathop{CH}}\,-\underset{\begin{smallmatrix}  | \\  CHO \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{2}}-C{{H}_{3}}\]
  A)
   2-isobutyl butanal
  done clear
  B)
   2-ethyl-3-methyl pentanal
  done clear
  C)
   3-methyl-4-ethyl pentanal
  done clear
  D)
   2, 3-diethyl butanal
  done clear
  View Answer play_arrow

• question_answer111) In the following reaction the product will be
  A)
   
  done clear
  B)
   
  done clear
  C)
   Both [a] and [b]   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer112) Which of the following has bond dissociation energy 600 k J/mol?
  A)
   \[N=N\]           
  done clear
  B)
   \[C-H\]
  done clear
  C)
   \[C=C\]           
  done clear
  D)
   \[H-H\]
  done clear
  View Answer play_arrow

• question_answer113) \[LiAl{{H}_{4}}\]is
  A)
   a reducing agent
  done clear
  B)
   a oxidising agent
  done clear
  C)
   a electrophilic agent
  done clear
  D)
   a nucleophilic agent
  done clear
  View Answer play_arrow

• question_answer114) The reaction mechanism of the following reaction is done by
  A)
   free radical mechanism
  done clear
  B)
   nucleophilic addition and attack
  done clear
  C)
   electrophilic addition
  done clear
  D)
   nucleophilic substitution
  done clear
  View Answer play_arrow

• question_answer115) \[{{K}_{2}}Mn{{O}_{4}}\]reacts with\[{{O}_{3}}\]to form
  A)
   \[KMn{{O}_{4}}\]         
  done clear
  B)
   \[Mn{{(OH)}_{2}}\]
  done clear
  C)
   \[Mn{{O}_{2}}\]           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer116) Which of the following shows optical isomerism?
  A)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  COOH \end{smallmatrix}}{\overset{\begin{smallmatrix}  Cl \\  | \end{smallmatrix}}{\mathop{C}}}\,-H\]
  done clear
  B)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  Cl \end{smallmatrix}}{\overset{\begin{smallmatrix}  Cl \\  | \end{smallmatrix}}{\mathop{C}}}\,-COOH\]
  done clear
  C)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  COOH \end{smallmatrix}}{\overset{\begin{smallmatrix}  COOH \\  | \end{smallmatrix}}{\mathop{C}}}\,-H\]
  done clear
  D)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  COOH \end{smallmatrix}}{\overset{\begin{smallmatrix}  COOH \\  | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer117) Which of the following is not an ore of magnesium?
  A)
   Magnasite       
  done clear
  B)
   Dolomite
  done clear
  C)
   Gypsum         
  done clear
  D)
   Carnalite
  done clear
  View Answer play_arrow

• question_answer118) Nitrobenzene on electrolytic reduction with cone.\[{{H}_{2}}S{{O}_{4}}\]gives
  A)
   p-aminophenol   
  done clear
  B)
   o-aminophenol
  done clear
  C)
   m-ammophenol  
  done clear
  D)
   Both [a] and [b]
  done clear
  View Answer play_arrow

• question_answer119) Bond order in\[{{O}_{2}}\]is
  A)
   1                   
  done clear
  B)
   2
  done clear
  C)
   1.5                 
  done clear
  D)
   2.5
  done clear
  View Answer play_arrow

• question_answer120) Electron affinity of nitrogen is
  A)
   0.21               
  done clear
  B)
   3
  done clear
  C)
   10.2               
  done clear
  D)
   13.2
  done clear
  View Answer play_arrow

• question_answer121) Which of the following test is not given by benzoic acid?
  A)
   It gives\[C{{O}_{2}}\]with\[NaHC{{O}_{3}}\]
  done clear
  B)
   Soluble in hot medium and separates on cooling.
  done clear
  C)
   It gives buffs colour with\[FeC{{l}_{3}}\]solution
  done clear
  D)
   It gives Libermann's nitroso test
  done clear
  View Answer play_arrow

• question_answer122) How much\[{{O}_{2}}\]is required for the complete combustion of\[1\,L\,{{C}_{3}}{{H}_{3}}\]?
  A)
   0.2 L            
  done clear
  B)
   0.5 L
  done clear
  C)
   5 L             
  done clear
  D)
   4.8 L
  done clear
  View Answer play_arrow

• question_answer123) Which product is obtained, when\[{{C}_{2}}{{H}_{2}}\]passes from red hot copper tube?
  A)
   \[{{C}_{6}}{{H}_{6}}\]          
  done clear
  B)
   Butadiene
  done clear
  C)
   \[CH\equiv C-CH=C{{H}_{2}}\]
  done clear
  D)
   \[{{C}_{2}}{{H}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer124)   The product will be
  A)
   iodobenzene     
  done clear
  B)
   cyclohexene
  done clear
  C)
   cyclohexane     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer125) \[\underset{yellow}{\mathop{MeOH}}\,\underset{red}{\mathop{M{{e}^{\oplus }}}}\,+O{{H}^{\text{O-}}}\] In acidic medium solution will be
  A)
   red              
  done clear
  B)
   yellow
  done clear
  C)
   blue             
  done clear
  D)
   colourless
  done clear
  View Answer play_arrow

• question_answer126) When a solution passes from a membrane, then the solvent particles pass from the membrane but solute particles does not pass. The membrane is
  A)
   osmosis membrane
  done clear
  B)
   diffusion membrane
  done clear
  C)
   semi-permeable membrane
  done clear
  D)
   osmotic pressure
  done clear
  View Answer play_arrow

• question_answer127) Ethene and ethyne are distinguished by
  A)
   Baeyer's reagent  
  done clear
  B)
   Tollen's reagent
  done clear
  C)
   Hager's reagent   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer128) Which of the following shows peroxide effect?
  A)
  \[HBr\]             
  done clear
  B)
  \[HF\]
  done clear
  C)
  \[HCl\]             
  done clear
  D)
  \[HI\]
  done clear
  View Answer play_arrow

• question_answer129) Structure of electron cloud of acetylene is
  A)
   two cylinderical\[\pi -\]cloud
  done clear
  B)
   unsymmetrical
  done clear
  C)
   triangular symmetrical
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer130) The plane in triangular hybridization will be
  A)
   \[xy\]                
  done clear
  B)
   \[yz\]
  done clear
  C)
   \[zx\]                
  done clear
  D)
   \[{{x}^{2}}-{{y}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer131) Methane + 10%\[{{O}_{2}}\xrightarrow[Cu\,tube]{200{}^\circ C}\]Product; product will be
  A)
   \[C{{H}_{3}}OH\]
  done clear
  B)
   \[HCHO\]
  done clear
  C)
   \[C{{H}_{3}}CHO\]
  done clear
  D)
   \[{{C}_{2}}{{H}_{5}}CHO\]
  done clear
  View Answer play_arrow

• question_answer132)   The above reaction is called
  A)
   Aldol reaction
  done clear
  B)
   Cannizzaro reaction
  done clear
  C)
   Schmidt reaction
  done clear
  D)
   Tischenko reaction
  done clear
  View Answer play_arrow

• question_answer133) Acidic hydrolysis of acetoacetic ester gives
  A)
   acetone          
  done clear
  B)
   acetic acid
  done clear
  C)
   acetaldehyde     
  done clear
  D)
   methanol
  done clear
  View Answer play_arrow

• question_answer134) pH of rain water is
  A)
   7                 
  done clear
  B)
   14
  done clear
  C)
   0                 
  done clear
  D)
   10
  done clear
  View Answer play_arrow

• question_answer135) When\[[{{H}^{+}}]\]ion concentration is greater than\[{{10}^{-7}}\]then solution will be
  A)
   acidic             
  done clear
  B)
   basic
  done clear
  C)
   neutral          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer136) Henderson's equation is
  A)
   \[pH=p{{K}_{a}}+\log \frac{[salt]}{[acid]}\]
  done clear
  B)
   \[p{{K}_{a}}=pH-\log \frac{[salt]}{[acid]}\]
  done clear
  C)
   \[pH=p{{K}_{a}}-\log \frac{[salt]}{[acid]}\]
  done clear
  D)
   \[p{{K}_{a}}=pH+\log \frac{[salt]}{[acid]}\]
  done clear
  View Answer play_arrow

• question_answer137) \[\Delta p\times \Delta x\approx \frac{h}{4\pi }\] This law is given by
  A)
   Schrodinger       
  done clear
  B)
   Heisenberg's
  done clear
  C)
   de-Broglie         
  done clear
  D)
   Pauli
  done clear
  View Answer play_arrow

• question_answer138) The correct name of the following freon is
  A)
   Freon-11         
  done clear
  B)
   Freon-318
  done clear
  C)
   Freon-12         
  done clear
  D)
   Freon-114
  done clear
  View Answer play_arrow

• question_answer139) HF reacts with\[CFC{{l}_{3}}\] in the presence of\[Sb{{F}_{5}}\] to give
  A)
   Freon-11         
  done clear
  B)
   Freon-12
  done clear
  C)
   Freon-318         
  done clear
  D)
   Freon-114
  done clear
  View Answer play_arrow

• question_answer140) Dilute\[NaCl\]is
  A)
   basic             
  done clear
  B)
   acidic
  done clear
  C)
   neutral           
  done clear
  D)
   strong acidic
  done clear
  View Answer play_arrow

• question_answer141) Decreasing order of\[-I\]effect is
  A)
   \[C{{H}_{3}}<C{{H}_{3}}C{{H}_{2}}-<C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  C{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}}\,-\]
  done clear
  B)
   \[N{{O}_{2}}<COOH<Cl\]
  done clear
  C)
   \[Cl>Br>I\]
  done clear
  D)
   \[Br>Cl>I\]
  done clear
  View Answer play_arrow

• question_answer142) pH of\[0.1\text{ }mL\text{ }M\text{ }HCl\]is
  A)
   1               
  done clear
  B)
   3
  done clear
  C)
   2               
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer143) Which of the following shows the minimum ionic character?
  A)
  \[AgI\]             
  done clear
  B)
   \[MgC{{l}_{2}}\]
  done clear
  C)
   \[Ba{{(N{{O}_{3}})}_{2}}\]        
  done clear
  D)
   \[HgS{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer144) \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\xrightarrow[{}]{Conc.HgS{{O}_{4}}}\Pr oduct\] Product will be
  A)
   phorone         
  done clear
  B)
   mesitylene
  done clear
  C)
   paraformaldehyde
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer145) \[CH{{I}_{3}}+Ag\xrightarrow[{}]{{}}Product\] Product be in this reaction
  A)
   \[C{{H}_{4}}\]            
  done clear
  B)
   \[{{C}_{2}}{{H}_{2}}\]
  done clear
  C)
   \[{{C}_{2}}{{H}_{6}}\]           
  done clear
  D)
   \[{{C}_{2}}{{H}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer146) Given\[{{K}_{a}}=6\times {{10}^{-4}},{{K}_{{{a}_{2}}}}=1.5\times {{10}^{-4}}\]The ratio of relative acidic strength is
  A)
   4                  
  done clear
  B)
   2
  done clear
  C)
   1                  
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer147) The second Bohr's radius of hydrogen atom is
  A)
   \[0.529\overset{o}{\mathop{\text{A}}}\,\]         
  done clear
  B)
   3.125\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  C)
   2.1165\[\overset{o}{\mathop{\text{A}}}\,\]        
  done clear
  D)
   4.2\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer148) Which of the following subshell has ten electron?
  A)
   3d             
  done clear
  B)
   2p
  done clear
  C)
   4s             
  done clear
  D)
   3p
  done clear
  View Answer play_arrow

• question_answer149) In the following reaction \[{{H}_{3}}N+B{{F}_{3}}\xrightarrow[{}]{{}}N{{H}_{3}}\xrightarrow[{}]{{}}B{{F}_{3}}\]
  A)
  \[B{{F}_{3}}\]is base,\[N{{H}_{3}}\]is acid
  done clear
  B)
  \[N{{H}_{3}}\]is base,\[B{{F}_{3}}\]is acid
  done clear
  C)
   Both are acid
  done clear
  D)
   Both are base
  done clear
  View Answer play_arrow

• question_answer150) Which of the following compound has not hydrogen bond?
  A)
   \[N{{H}_{3}}\]            
  done clear
  B)
  \[{{H}_{2}}O\]
  done clear
  C)
   \[HCl\]            
  done clear
  D)
   HF
  done clear
  View Answer play_arrow

• question_answer151) Correct order of electron affinity is
  A)
   \[F>Cl>Br>I\]   
  done clear
  B)
   \[I>Br>Cl>F\]
  done clear
  C)
   \[Br>I>F>Cl\]   
  done clear
  D)
   \[Cl>F>Br>I\]
  done clear
  View Answer play_arrow

• question_answer152) Nylon-66 is made of
  A)
   hexamethylene diamine
  done clear
  B)
   thiokol rubber
  done clear
  C)
   cis-polyisoprene
  done clear
  D)
   tons-polyisoprene
  done clear
  View Answer play_arrow

• question_answer153) Number of conformational isomers of n-butane are
  A)
   3                 
  done clear
  B)
   4
  done clear
  C)
   6                
  done clear
  D)
   10
  done clear
  View Answer play_arrow

• question_answer154) When pH increases from 2 to 4 then concentration
  A)
   increases 100 times
  done clear
  B)
   decreases 100 times
  done clear
  C)
   decreases 1000 times
  done clear
  D)
   increases 1000 times
  done clear
  View Answer play_arrow

• question_answer155) Which of the following will give carbylamines reaction?
  A)
   \[C{{H}_{3}}N{{H}_{2}}\]       
  done clear
  B)
   \[{{(C{{H}_{3}})}_{2}}NH\]
  done clear
  C)
   \[{{(C{{H}_{3}})}_{3}}N\]       
  done clear
  D)
   \[{{(C{{H}_{3}})}_{4}}{{N}^{\oplus }}\]
  done clear
  View Answer play_arrow

• question_answer156) Magnetic moment of\[C{{u}^{+}}\]is
  A)
   2.59               
  done clear
  B)
   0
  done clear
  C)
   3.2              
  done clear
  D)
   5.1
  done clear
  View Answer play_arrow

• question_answer157) Gangue is removed from its ore by
  A)
   concentration    
  done clear
  B)
   calcination
  done clear
  C)
   roasting          
  done clear
  D)
   smelting
  done clear
  View Answer play_arrow

• question_answer158) For 2a, 3b, c the Miller indices will be
  A)
   2, 3, 1            
  done clear
  B)
   1, 2, 4
  done clear
  C)
   3, 2, 6            
  done clear
  D)
   1, 2, 3
  done clear
  View Answer play_arrow

• question_answer159) The wavelength of photon of yellow light is 5890\[\overset{o}{\mathop{\text{A}}}\,\]. Its energy will be
  A)
   2.3 erg            
  done clear
  B)
   \[3.37\times {{10}^{-12}}erg\]
  done clear
  C)
   \[4.1\times {{10}^{-8}}erg\]     
  done clear
  D)
   \[1.5\times {{10}^{-2}}erg\]
  done clear
  View Answer play_arrow

• question_answer160) Na conducts the electricity because
  A)
   it releases hydrogen on reaction with water
  done clear
  B)
   it contains movable electron
  done clear
  C)
   it consists hydration energy
  done clear
  D)
   it consists combustion energy
  done clear
  View Answer play_arrow

• question_answer161) All d-black elements are
  A)
   metal            
  done clear
  B)
   non-metal
  done clear
  C)
   Both [a] and [b]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer162) Sodium reacts with oxygen to form
  A)
   monoxide       
  done clear
  B)
   peroxide
  done clear
  C)
   superoxide      
  done clear
  D)
  \[NaOH\]
  done clear
  View Answer play_arrow

• question_answer163) On moving from top to bottom (from\[B{{e}^{2+}}\]to \[B{{e}^{2+}}\]) the degree of hydration
  A)
   decreases
  done clear
  B)
   increases
  done clear
  C)
   first decreases and then increases
  done clear
  D)
   first increases and then decreases
  done clear
  View Answer play_arrow

• question_answer164) From\[B{{e}^{2+}}\]to\[B{{e}^{2+}},\]on moving from top to bottom the ionic radius
  A)
   decreases
  done clear
  B)
   increases
  done clear
  C)
   first decreases and then increases
  done clear
  D)
   first increases and then decreases
  done clear
  View Answer play_arrow

• question_answer165) Haematite is
  A)
   \[F{{e}_{2}}{{O}_{3}}\]
  done clear
  B)
   \[F{{e}_{3}}{{O}_{4}}\]
  done clear
  C)
   \[FeC{{O}_{3}}\]
  done clear
  D)
   \[F{{e}_{2}}{{O}_{3}}.3{{H}_{2}}O\]
  done clear
  View Answer play_arrow

• question_answer166) \[{{K}_{2}}C{{r}_{2}}{{O}_{3}}\xrightarrow[{}]{{}}C{{r}^{3+}}\] In the above process, oxidation number of Cr changes to
  A)
   from 6 to 3       
  done clear
  B)
   from -6 to 3
  done clear
  C)
   from + 3 to 0     
  done clear
  D)
   from + 6 to 0
  done clear
  View Answer play_arrow

• question_answer167) For\[n=1,\text{ }T=1,\text{ }R=\]constant, the relationship between osmotic pressure and volume is
  A)
   \[p\propto V\]            
  done clear
  B)
   \[p\propto \frac{1}{V}\]
  done clear
  C)
   \[p=V\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer168) Which of the following has\[1{{s}^{2}},2{{s}^{2}}2{{p}^{6}},\]\[3{{s}^{2}}3{{p}^{6}},4{{s}^{1}}\]configuration?
  A)
   K                
  done clear
  B)
   \[Al\]
  done clear
  C)
   Na               
  done clear
  D)
   \[Ca\]
  done clear
  View Answer play_arrow

• question_answer169) Which of the following has maximum ionization energy?
  A)
   \[(I,{{I}^{+}})\]
  done clear
  B)
   \[(Br,B{{r}^{+}})\]
  done clear
  C)
   \[(Li,L{{i}^{+}})\]
  done clear
  D)
   \[(Cu,C{{u}^{+}})\]
  done clear
  View Answer play_arrow

• question_answer170) The reaction is used in bessemerisation process
  A)
   \[C{{u}_{2}}S+2C{{u}_{2}}O\xrightarrow[{}]{{}}6Cu+S{{O}_{2}}\]
  done clear
  B)
   \[Si+{{O}_{2}}\xrightarrow[{}]{{}}Si{{O}_{2}}\]
  done clear
  C)
   \[F{{e}_{2}}{{O}_{3}}+3C\xrightarrow[{}]{{}}2Fe+3CO\]
  done clear
  D)
   \[4Fe+3{{O}_{2}}\xrightarrow[{}]{{}}2F{{e}_{2}}{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer171) Which of the following relationship is correct for reversible reaction, \[{{H}_{2}}+{{I}_{2}}2HI\]?
  A)
   \[{{K}_{p}}<1\]
  done clear
  B)
   \[{{K}_{p}}={{K}_{c}}\]
  done clear
  C)
   \[{{K}_{p}}>1\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer172) For an exothermic reaction, the favourable condition to obtain maximum product is
  A)
   low pressure
  done clear
  B)
   low concentration of reactants
  done clear
  C)
   low temperature
  done clear
  D)
   high pressure
  done clear
  View Answer play_arrow

• question_answer173) When\[CaO\]dissolves in water, then heat releases. On increasing temperature its solubility
  A)
   increases
  done clear
  B)
   decreases
  done clear
  C)
   unchanged
  done clear
  D)
   first increases, then decreases
  done clear
  View Answer play_arrow

• question_answer174) For bcc structure of Na, crystal\[{{N}_{0}}=6\times {{10}^{23}},\]atomic weight of Na =23, radius\[=5\overset{o}{\mathop{\text{A}}}\,,\] then density will be
  A)
   \[0.6\text{ }g/c{{m}^{3}}\]         
  done clear
  B)
   \[1.2\text{ }g/c{{m}^{3}}\]
  done clear
  C)
   \[0.4\text{ }g/c{{m}^{3}}\]         
  done clear
  D)
   \[1.0\text{ }g/c{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer175) Rate of zero order reaction does not depend on
  A)
   volume          
  done clear
  B)
   temperature
  done clear
  C)
   time            
  done clear
  D)
   concentration
  done clear
  View Answer play_arrow

• question_answer176) Size of colloidal particle is between
  A)
   \[1\overset{o}{\mathop{\text{A}}}\,-100\overset{o}{\mathop{\text{A}}}\,\]      
  done clear
  B)
   \[10\overset{o}{\mathop{\text{A}}}\,-200\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  C)
   \[1000\overset{o}{\mathop{\text{A}}}\,-2000\overset{o}{\mathop{\text{A}}}\,\]  
  done clear
  D)
   \[>2000\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer177) When any 2 g solute dissolves in 50 g water than boiling point comes\[100.5{}^\circ C\]. If\[{{K}_{b}}=0.5\] then molecular weight will be
  A)
   4                
  done clear
  B)
   40
  done clear
  C)
   80              
  done clear
  D)
   100
  done clear
  View Answer play_arrow

• question_answer178) Which of the following is not a characteristic of colloidal particles?
  A)
   They pass from filter paper easily.
  done clear
  B)
   They are invisible.
  done clear
  C)
   They forms heterogeneous mixture.
  done clear
  D)
   They pass from parchment paper.
  done clear
  View Answer play_arrow

• question_answer179) On moving left to right the correct order of hybridization of carbon atoms in compound \[C{{H}_{3}}-CH=C=C{{H}_{2}}.\].
  A)
   \[s{{p}^{3}},s{{p}^{2}},sp,s{{p}^{2}}\]   
  done clear
  B)
   \[s{{p}^{2}},sp,s{{p}^{2}}\]
  done clear
  C)
   \[sp,s{{p}^{2}},s{{p}^{2}},s{{p}^{3}}\]    
  done clear
  D)
   \[s{{p}^{3}},s{{p}^{2}},s{{p}^{2}},sp\]
  done clear
  View Answer play_arrow

• question_answer180) In the following reaction X will be \[X+B{{r}^{2}}+KOH\xrightarrow[{}]{{}}C{{H}_{3}}N{{H}_{2}}\]
  A)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-N{{H}_{2}}\]
  done clear
  B)
   \[C{{H}_{3}}-C{{H}_{2}}-N{{H}_{2}}\]
  done clear
  C)
   \[C{{H}_{3}}-N{{O}_{2}}\]     
  done clear
  D)
   \[C{{H}_{3}}-C{{H}_{2}}-N{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer181) Sodium lauryl sulphate is an example of
  A)
   neutral detergent
  done clear
  B)
   cationic detergent
  done clear
  C)
   anionic detergent
  done clear
  D)
   soap detergent
  done clear
  View Answer play_arrow

• question_answer182) \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-Cl+KCN\to C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-CN\xrightarrow[{}]{{{H}_{2}}O}X\] Here X will be
  A)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-COOH\]
  done clear
  B)
   \[C{{H}_{3}}-C{{H}_{2}}-COOH\]
  done clear
  C)
   \[C{{H}_{3}}COOH\]      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer183) The correct order of acidic strength of following

  I. \[F-C{{H}_{2}}-COOH\]

  II.\[Cl-C{{H}_{2}}-COOH\]

  III. \[Br-C{{H}_{2}}-COOH\]

  A)
   \[I>II>III\]        
  done clear
  B)
   \[III>II>I\]
  done clear
  C)
   \[II>III>I\]       
  done clear
  D)
   \[II>I>III\]
  done clear
  View Answer play_arrow

• question_answer184) In the following reaction product will be \[C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-ON{{H}_{4}}\xrightarrow[{}]{{{P}_{4}}{{O}_{10}}}Product\]
  A)
   \[C{{H}_{3}}-C=N\]    
  done clear
  B)
   \[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\]
  done clear
  C)
   \[C{{H}_{3}}-C-N{{H}_{2}}\]  
  done clear
  D)
   \[C{{H}_{3}}COOH\]
  done clear
  View Answer play_arrow

• question_answer185) In the following reaction product will be \[nC{{H}_{2}}=CH-O-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\xrightarrow[{}]{Polymerization}Product\]
  A)
   polyvinyl acetate 
  done clear
  B)
   polyacrylonitrile
  done clear
  C)
   vinyl acetate      
  done clear
  D)
   acrylonitrile
  done clear
  View Answer play_arrow

• question_answer186) Electricity is
  A)
   mostly positive
  done clear
  B)
   always negative
  done clear
  C)
   sometime positive and sometime neutral
  done clear
  D)
   sometime positive and sometime negative
  done clear
  View Answer play_arrow

• question_answer187) Acetic acid is polar in nature but soluble in non-polar solvents because
  A)
   it forms dimer    
  done clear
  B)
   entropy increases
  done clear
  C)
   enthalpy decreases
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer188) The ratio of butadiene and styrene in Buna-S polymer is
  A)
   \[1:1\]             
  done clear
  B)
   \[1:2\]
  done clear
  C)
   \[3:1\]             
  done clear
  D)
   \[1:3\]
  done clear
  View Answer play_arrow

• question_answer189) An organic compound is purified by electrolytic purification method. It was proposed by
  A)
   Kolbe           
  done clear
  B)
   Wurtz
  done clear
  C)
   Frenkland       
  done clear
  D)
   Clemmensen
  done clear
  View Answer play_arrow

• question_answer190) IUPAC name of following compound is
  A)
   vinyl propene
  done clear
  B)
   1-isopropene ethylene
  done clear
  C)
   2-methyl-3-butene
  done clear
  D)
   3-methyl-1-butene
  done clear
  View Answer play_arrow

• question_answer191) Name the compound which obtains sufficient energy for combustion on stirring
  A)
   methanol        
  done clear
  B)
   chloroform
  done clear
  C)
   ether           
  done clear
  D)
   power alcohol
  done clear
  View Answer play_arrow

• question_answer192) Which of the following smell comes, when some drops of\[{{H}_{2}}S{{O}_{4}}\]adds in acetate solution?
  A)
   Apple like smell  
  done clear
  B)
   Banana like smell
  done clear
  C)
   Vinegar like smell
  done clear
  D)
   White precipitate
  done clear
  View Answer play_arrow

• question_answer193) Which of the following is the most stable?
  A)
   Methane         
  done clear
  B)
   Ethane
  done clear
  C)
   Butane
  done clear
  D)
   Propane
  done clear
  View Answer play_arrow

• question_answer194) Mixture of camphor and benzoic acid can be separated by
  A)
   sublimation
  done clear
  B)
   extraction with a solvent
  done clear
  C)
   chemical method
  done clear
  D)
   fractional crystallization
  done clear
  View Answer play_arrow

• question_answer195) Which of the following is the example of double salt?
  A)
   Potash alum     
  done clear
  B)
   Hypo
  done clear
  C)
   \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]   
  done clear
  D)
   Bleaching powder
  done clear
  View Answer play_arrow

• question_answer196) On passing IF electricity in acid solution, the oxygen liberates
  A)
   \[11.2\,d{{m}^{3}}\]        
  done clear
  B)
   \[5.6\,d{{m}^{3}}\]
  done clear
  C)
   \[22.4\text{ }d{{m}^{3}}\]        
  done clear
  D)
   \[1.0\text{ }d{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer197) Example of colloidal solution is
  A)
   alkaline solution of\[{{C}_{6}}{{H}_{5}}COOH\]
  done clear
  B)
   aqueous solution of\[N{{H}_{2}}CON{{H}_{2}}\]
  done clear
  C)
   milk
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer198) Which of the following is not an example of molecular crystal?
  A)
   Hydrogen        
  done clear
  B)
   Iodine
  done clear
  C)
   Ice              
  done clear
  D)
   Sodium chloride
  done clear
  View Answer play_arrow

• question_answer199) Oxidation number of\['N'\] in\[{{N}_{3}}H\]is
  A)
   \[-\frac{1}{3}\]            
  done clear
  B)
   \[+3\]
  done clear
  C)
   0               
  done clear
  D)
   \[-3\]
  done clear
  View Answer play_arrow

• question_answer200) Chloramphenicol is used for curing in which of the following?
  A)
   Tuberculosis     
  done clear
  B)
   Typhoid
  done clear
  C)
   Headache and fever
  done clear
  D)
   Cough
  done clear
  View Answer play_arrow

• question_answer201) Both roots of the following quadratic equation are \[(x-b)(x-c)+(x-c)(x-a)\] \[+(x-a)(x-b)=0\]
  A)
   positive         
  done clear
  B)
   negative
  done clear
  C)
   real             
  done clear
  D)
   complex
  done clear
  View Answer play_arrow

• question_answer202) For what value of m, the roots of the quadratic equation\[12{{x}^{2}}+mx+5=0\]are in the ratio\[3:2\]?
  A)
   \[10\sqrt{5}\]            
  done clear
  B)
   \[-5\sqrt{10}\]
  done clear
  C)
   50               
  done clear
  D)
   25
  done clear
  View Answer play_arrow

• question_answer203) Maximum   value   of   the   expression\[\frac{1}{4{{x}^{2}}+2x+1}\]is
  A)
   \[\frac{4}{3}\]
  done clear
  B)
   \[\frac{5}{2}\]
  done clear
  C)
   \[\frac{13}{4}\]
  done clear
  D)
   \[\frac{3}{4}\]
  done clear
  View Answer play_arrow

• question_answer204) The value of\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{\frac{1}{2}(1-\cos 2x)}}{x}\]is
  A)
   1              
  done clear
  B)
   \[-1\]
  done clear
  C)
   0              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer205) If the function\[f(x)=\left\{ \begin{matrix} \frac{1-\sin x}{\pi -2x}, & x\ne \frac{\pi }{2}  \\ \lambda , & x=\frac{\pi }{2}  \\ \end{matrix} \right.\] is continuous at\[x=\frac{\pi }{2},\]then\[\lambda \]is equal to
  A)
   1              
  done clear
  B)
   \[-1\]
  done clear
  C)
   \[1/2\]             
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer206) If\[y={{\tan }^{-1}}\left( \frac{\cos x-\sin x}{\cos x+\sin x} \right),\]then\[\frac{dy}{dx}\]is equal to
  A)
   1
  done clear
  B)
   \[-1\]
  done clear
  C)
   \[\sin x\]
  done clear
  D)
   \[\cos x\]
  done clear
  View Answer play_arrow

• question_answer207) Minimum value of\[x+\frac{1}{x}\]is
  A)
   2               
  done clear
  B)
   \[-2\]
  done clear
  C)
   0                
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer208) If\[x=-1\]and\[x=2\]are the extreme points of the function\[y=a\log |x|+b{{x}^{2}}+x,\]then
  A)
   \[a=2,b=1/2\]     
  done clear
  B)
   \[a=2,b=-1/2\]
  done clear
  C)
   \[a=-2,b=-1/2\]  
  done clear
  D)
   \[a=-2,b=1/2\]
  done clear
  View Answer play_arrow

• question_answer209) Function\[f(x)=\frac{x}{1+x}-\log (1+x),x>0\]is
  A)
   decreasing function
  done clear
  B)
   increasing function
  done clear
  C)
   not monotonic
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer210) \[\int{{{\cos }^{-1}}\left( \frac{1}{x} \right)}\,dx\]is equal to
  A)
   \[x{{\sec }^{-1}}x+{{\cosh }^{-1}}x+c\]
  done clear
  B)
   \[x{{\sec }^{-1}}x-{{\cosh }^{-1}}x+c\]
  done clear
  C)
   \[{{\cosh }^{-1}}x-{{\sec }^{-1}}x+c\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer211) \[\int{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}}dx\]is equal to
  A)
   \[\frac{{{e}^{x}}}{x+1}+c\]
  done clear
  B)
   \[\frac{{{e}^{x}}}{{{(x+1)}^{2}}}+c\]
  done clear
  C)
   \[\frac{-{{e}^{x}}}{(x+1)}+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer212) \[\int{\cos e{{c}^{4}}xdx}\]is equal to
  A)
   \[-\cot x+\frac{{{\cot }^{3}}x}{3}+c\]
  done clear
  B)
   \[\frac{{{\cot }^{3}}x}{3}-\cot x+c\]
  done clear
  C)
   \[-\cot x-\frac{{{\cot }^{3}}x}{3}+c\]
  done clear
  D)
   \[\cot x-\frac{{{\cot }^{2}}x}{3}+c\]
  done clear
  View Answer play_arrow

• question_answer213) Points\[(-1,1)(0,-3),(5,2)\]and (4, 6) are the vertices of
  A)
   square           
  done clear
  B)
   parallelogram
  done clear
  C)
   rectangle         
  done clear
  D)
   rhombus
  done clear
  View Answer play_arrow

• question_answer214) Triangle made by the lines\[x+y=0,\] \[3x+y=4,\text{ }x+3y=4\]is
  A)
   equilateral       
  done clear
  B)
   isosceles
  done clear
  C)
   right angled      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer215) From any point on the circle\[{{x}^{2}}+{{y}^{2}}={{a}^{2}},\]two tangents   are   drawn   to   the   circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}si{{n}^{2}}\alpha ,\]then angle between them is
  A)
   \[\frac{\alpha }{2}\]
  done clear
  B)
   \[\alpha \]
  done clear
  C)
   \[2\alpha \]              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer216) A variable chord is drawn to the circle \[{{x}^{2}}+{{y}^{2}}-2ax=0\]from the origin, then the locus of the centre of the circle which is made by taking the chord as the diameter, is
  A)
   \[{{x}^{2}}+{{y}^{2}}+ax=0\]  
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}-ax=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}+ay=0\]  
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}-ay=0\]
  done clear
  View Answer play_arrow

• question_answer217) The point from which the length of tangents to the circles\[{{x}^{2}}+{{y}^{2}}-8x+40=0,\]\[5{{x}^{2}}+5{{y}^{2}}-25x+80=0\]and \[{{x}^{2}}+{{y}^{2}}-8x+16y+160=0\]are equal, is
  A)
   \[\left( 8,\frac{15}{2} \right)\]
  done clear
  B)
   \[\left( -8,\frac{15}{2} \right)\]
  done clear
  C)
   \[\left( 8,-\frac{15}{2} \right)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer218) The point where the tangent to the curve \[y={{e}^{2x}}\]at (0,1) meets\[x-\]axis, is
  A)
   (1, 0)            
  done clear
  B)
   \[(-1,0)\]
  done clear
  C)
   \[\left( -\frac{1}{2},0 \right)\]       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer219) Image of the point\[(4,-3)\]with respect to the line\[y=x,\]is
  A)
   \[(-4,-3)\]          
  done clear
  B)
   \[(3,-4)\]
  done clear
  C)
   \[(-3,4)\]            
  done clear
  D)
   \[(-3,-4)\]
  done clear
  View Answer play_arrow

• question_answer220) If\[a+b+c=0,\]then the line\[3ax+4by+c=0\]passes through a fixed point which has the coordinate
  A)
   \[\left( \frac{1}{3},\frac{1}{4} \right)\]
  done clear
  B)
   \[\left( -\frac{1}{3},\frac{1}{4} \right)\]
  done clear
  C)
   \[\left( \frac{1}{3},-\frac{1}{4} \right)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer221) The tangents drawn from the focal chord PQ to the parabola meets the directrix at point Q. Then angle PSQ is
  A)
   \[\frac{\pi }{4}\]
  done clear
  B)
   \[\frac{\pi }{3}\]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   \[\pi \]
  done clear
  View Answer play_arrow

• question_answer222) If\[\overrightarrow{A}=2\hat{i}+2\hat{j}+3\hat{k},\overrightarrow{B}=-\hat{i}+2\hat{j}+\hat{k}\]and\[\overrightarrow{C}=3\hat{i}+\hat{j}\]and\[(\overrightarrow{A}+t\overrightarrow{B})\bot \overrightarrow{C},\]ihent is equal to
  A)
   5                   
  done clear
  B)
   4
  done clear
  C)
   6                   
  done clear
  D)
   8
  done clear
  View Answer play_arrow

• question_answer223) If sum of two unit vectors is also a unit vector, then angle between them is
  A)
   \[\frac{\pi }{3}\]
  done clear
  B)
   \[\frac{2\pi }{3}\]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer224) \[\overrightarrow{a}.\{(\overrightarrow{b}+\overrightarrow{c})\times (\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c})\}\]is equal to
  A)
   \[2[\overrightarrow{a}\overrightarrow{b}\overrightarrow{c}]\]
  done clear
  B)
   0
  done clear
  C)
   \[[\overrightarrow{a}\overrightarrow{b}\overrightarrow{c}]\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer225) Area of small part between the circle\[{{x}^{2}}+{{y}^{2}}=9\]and the line\[x=1\]is
  A)
   \[{{\sec }^{-1}}3-\sqrt{8}\]
  done clear
  B)
   \[9{{\sec }^{-1}}3-\sqrt{8}\]
  done clear
  C)
   \[9\cos e{{c}^{-1}}3-\sqrt{8}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer226) Area between the vertex and the latusrectum of the parabola\[{{y}^{2}}=4ax\]is
  A)
   \[\frac{4}{3}{{a}^{2}}sq\,units\]
  done clear
  B)
   \[\frac{8}{3}{{a}^{2}}sq\,units\]
  done clear
  C)
   \[\frac{2}{3}{{a}^{2}}sq\,units\]
  done clear
  D)
   \[\frac{5}{3}{{a}^{2}}sq\,units\]
  done clear
  View Answer play_arrow

• question_answer227) \[\int_{0}^{\infty }{\log \left( x+\frac{1}{x} \right)}\frac{dx}{1+{{x}^{2}}}\]is equal to
  A)
   \[-\frac{\pi }{2}\log 2\]      
  done clear
  B)
   \[-\pi \log 2\]
  done clear
  C)
   \[\pi \log 2\]           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer228) Intersection point of the tangents drawn to the parabola\[{{y}^{2}}=4ax\]from the points \[(at_{1}^{2},2a{{t}_{1}})\]and\[(at_{2}^{2},2a{{t}_{2}})\]is
  A)
   \[(a{{t}_{1}}{{t}_{2}},a({{t}_{1}}+{{t}_{2}}))\]
  done clear
  B)
   \[(a({{t}_{1}}+{{t}_{2}}),a{{t}_{1}}{{t}_{2}})\]
  done clear
  C)
   \[(t_{1}^{2}t_{2}^{2},{{t}_{1}}+{{t}_{2}})\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer229) If a line makes the angles\[\alpha ,\beta ,\gamma \]and\[\delta \]respectively with all the four diagonals of a cube, then\[co{{s}^{2}}\alpha +co{{s}^{2}}\beta +co{{s}^{2}}\gamma +co{{s}^{2}}\delta \]is equal to
  A)
   3                
  done clear
  B)
   4
  done clear
  C)
   4/3              
  done clear
  D)
   3/4
  done clear
  View Answer play_arrow

• question_answer230) The cosine of the angle between any two diagonals of a cube is
  A)
   \[\frac{1}{3}\]
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   \[\frac{2}{3}\]
  done clear
  D)
   \[\frac{1}{\sqrt{3}}\]
  done clear
  View Answer play_arrow

• question_answer231) Line\[\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{0}\]is
  A)
   parallel to yz-plane
  done clear
  B)
   parallel to zx-plane
  done clear
  C)
   perpendicular to z-axis
  done clear
  D)
   parallel to z-axis
  done clear
  View Answer play_arrow

• question_answer232) Total number of lines having same slope with the coordinate axes, is
  A)
   1                   
  done clear
  B)
   2
  done clear
  C)
   3                    
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer233) A line makes an angle of\[60{}^\circ \]with\[x\]and y-axes, then the angle which is made by the line with the positive direction of to z-axis, is
  A)
   \[45{}^\circ \]or \[135{}^\circ \]       
  done clear
  B)
  \[60{}^\circ \]or\[90{}^\circ \]
  done clear
  C)
   \[90{}^\circ \]or\[120{}^\circ \]      
  done clear
  D)
  \[60{}^\circ \]or\[120{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer234) Equation of line passing through the points\[\overrightarrow{a}={{a}_{1}}\hat{i}+{{a}_{2}}\hat{j}+{{a}_{3}}\hat{k}\]and \[\overrightarrow{b}={{b}_{1}}\hat{i}+{{b}_{2}}\hat{j}+{{b}_{3}}\hat{k}\]is (where t is a scalar)
  A)
   \[\overrightarrow{r}=\overrightarrow{a}+\overrightarrow{b}\]        
  done clear
  B)
   \[\overrightarrow{r}=\overrightarrow{a}+t(\overrightarrow{b}-\overrightarrow{a})\]
  done clear
  C)
   \[\overrightarrow{r}=\overrightarrow{a}+t\overrightarrow{b}\]       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer235) Polar of the circle\[{{x}^{2}}+{{y}^{2}}=5\]with respect to the point\[(1,-2)\]is a line for the circle \[{{x}^{2}}+{{y}^{2}}-8x+6y+20=0\]which is
  A)
   a tangent
  done clear
  B)
   cut at two real points
  done clear
  C)
   cut at two imaginary points
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer236) The ratio in which the line made by joining the points\[(2,-1,-3)\]and\[(3,2,-1)\]cuts the yz-plane, is
  A)
   \[-2:3\]          
  done clear
  B)
   \[3:-2\]
  done clear
  C)
   \[1:2\]            
  done clear
  D)
   \[2:1\]
  done clear
  View Answer play_arrow

• question_answer237) If\[|z+4|\le 3,\] then maximum value of\[|z+1|\] is
  A)
   0              
  done clear
  B)
   4
  done clear
  C)
   3              
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer238) If\[z=x+iy\]and are\[\left( \frac{z-2}{z+2} \right)=\frac{\pi }{6},\]then locus of \[z\]is a
  A)
   straight line       
  done clear
  B)
   circle
  done clear
  C)
   parabola         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer239) The value of\[\frac{{{(\cos \theta +i\sin \theta )}^{4}}}{{{(\sin \theta +i\cos \theta )}^{5}}}\]is
  A)
   \[\cos 9\theta -i\sin 9\theta \]
  done clear
  B)
   \[\cos \theta -i\sin \theta \]
  done clear
  C)
   \[\sin 9\theta +i\cos 9\theta \]
  done clear
  D)
   \[\sin 9\theta -i\cos 9\theta \]
  done clear
  View Answer play_arrow

• question_answer240) \[{{(1+i)}^{6}}+{{(1-i)}^{6}}\]is equal to
  A)
   \[16i\]               
  done clear
  B)
   16
  done clear
  C)
   1                 
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer241) If\[z=\frac{\sqrt{3}+i}{2},\]then\[{{z}^{69}}\]is equal to
  A)
   \[1\]             
  done clear
  B)
   2
  done clear
  C)
   \[-2\]            
  done clear
  D)
   \[-1\]
  done clear
  View Answer play_arrow

• question_answer242) \[cosh\text{ }2x\] is equal to
  A)
   \[cos{{h}^{2}}x-sin{{h}^{2}}x\]
  done clear
  B)
   \[2\text{ }cos{{h}^{2}}x-1\]
  done clear
  C)
   \[1-2\text{ }sin{{h}^{2}}x\]     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer243) If\[x\]is real, then\[cos{{h}^{-1}}x\]is equal to
  A)
   \[\log (x+\sqrt{{{x}^{2}}+1})\]
  done clear
  B)
   \[\log (x\pm \sqrt{{{x}^{2}}-1})\]
  done clear
  C)
   \[\log (x\mp \sqrt{{{x}^{2}}+1})\]
  done clear
  D)
   \[\log (x-\sqrt{{{x}^{2}}-1})\]
  done clear
  View Answer play_arrow

• question_answer244) If \[{{\tan }^{-1}}(\alpha +i\beta )=x+iy,\]then\[x\]is equal to
  A)
   \[\frac{1}{2}\tan \left( \frac{2\alpha }{1+{{\alpha }^{2}}+{{\beta }^{2}}} \right)\]
  done clear
  B)
   \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{2\alpha }{1+{{\alpha }^{2}}+{{\beta }^{2}}} \right)\]
  done clear
  C)
   \[\frac{1}{2}{{\tanh }^{-1}}\left( \frac{2\beta }{1+{{\alpha }^{2}}+{{\beta }^{2}}} \right)\]
  done clear
  D)
   \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{2\beta }{1-{{\alpha }^{2}}-{{\beta }^{2}}} \right)\]
  done clear
  View Answer play_arrow

• question_answer245) Determinant\[\left| \begin{matrix}    1 & a & {{a}^{2}}-bc  \\    1 & b & {{b}^{2}}-ac  \\    1 & c & {{c}^{2}}-ab  \\ \end{matrix} \right|\]is equal to
  A)
   \[a+b+c\]
  done clear
  B)
   \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
  done clear
  C)
   0
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer246) \[\left| \begin{matrix}   1/a & 1 & bc  \\    1/b & 1 & ca  \\    1/c & 1 & ab  \\ \end{matrix} \right|\]is equal to
  A)
   1
  done clear
  B)
   0
  done clear
  C)
   \[(a+b+c)\]
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer247) If\[{{A}^{3}}=I\]for any matrix A, then\[{{A}^{-1}}\]is equal to
  A)
   \[{{A}^{2}}\]              
  done clear
  B)
   A
  done clear
  C)
   \[{{A}^{3}}\]             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer248) For any two square matrices A and\[B,{{(AB)}^{-1}}\]is equal to
  A)
   \[{{A}^{-1}}{{B}^{-1}}\]      
  done clear
  B)
   \[{{B}^{-1}}{{A}^{-1}}\]
  done clear
  C)
   \[{{(BA)}^{-1}}\]           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer249) For any matrix A, A (adj A) is equal to
  A)
   \[A\]
  done clear
  B)
   \[|A|{{I}_{n}}\]
  done clear
  C)
   \[|A|\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer250) If\[a,b,c\]are in GP, then\[{{\log }_{a}}x,{{\log }_{b}}x\]and\[{{\log }_{c}}x\]are in
  A)
   AP             
  done clear
  B)
   GP
  done clear
  C)
   HP             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer251) If\[a,b,c,d,e\]are in AP, then the value of\[a-4b+6c-4d+e\]is equal to
  A)
   1                 
  done clear
  B)
   2
  done clear
  C)
   0                
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer252) If first term of a GP is double the sum of all consecutive terms starting from second term, then the common ratio is
  A)
   \[\frac{2}{5}\]
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   \[\frac{1}{3}\]
  done clear
  D)
   \[\frac{1}{4}\]
  done clear
  View Answer play_arrow

• question_answer253) Sum of the series\[{{11}^{3}}+{{12}^{3}}+...\text{ +}{{20}^{3}}\]is
  A)
   odd and divisible by 5
  done clear
  B)
   divisible by 10
  done clear
  C)
   odd and not divisible by 5
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer254) \[\left| \begin{matrix}   1 & 1 & 1  \\    1 & \omega  & {{\omega }^{2}}  \\    1 & {{\omega }^{2}} & \omega   \\ \end{matrix} \right|\]is equal to
  A)
   0
  done clear
  B)
   \[3\sqrt{3}i\]
  done clear
  C)
   \[-3\sqrt{3}i\]
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer255) If\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1,\]then range of\[ab+bc+ca\]is
  A)
   \[\left[ -\frac{1}{2},\infty  \right)\]
  done clear
  B)
   \[[0,\infty )\]
  done clear
  C)
   \[\left[ -\frac{1}{2},1 \right]\]
  done clear
  D)
   \[[1,\infty )\]
  done clear
  View Answer play_arrow

• question_answer256) Range of the function\[\frac{x+2}{|x+2|}\]is
  A)
   \[\{-1,0,1\}\]
  done clear
  B)
   \[\{-1,1\}\]
  done clear
  C)
   \[[-1,1]\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer257) Range of\[\frac{x}{3}\]is
  A)
   \[[-1,1]\]
  done clear
  B)
   \[\left[ -\frac{1}{3},\frac{1}{3} \right]\]
  done clear
  C)
   [0,2]             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer258) Domain of the function\[{{\sin }^{-1}}\left( {{\log }_{2}}\frac{x}{2} \right)\]is
  A)
   \[\left[ \frac{1}{2},\frac{1}{4} \right]\]
  done clear
  B)
   \[[-1,3]\]
  done clear
  C)
   \[[1,4]\]
  done clear
  D)
   \[[0,1]\]
  done clear
  View Answer play_arrow

• question_answer259) \[^{47}{{C}_{4}}+\sum\limits_{i=1}^{5}{^{52-i}{{C}_{3}}}\]is equal to
  A)
   \[^{50}{{C}_{4}}\]
  done clear
  B)
   \[^{50}{{C}_{4}}\]
  done clear
  C)
   \[^{10}{{C}_{5}}\]
  done clear
  D)
   \[^{52}{{C}_{6}}\]
  done clear
  View Answer play_arrow

• question_answer260) Coefficient of the middle term in the expansion
  A)
   \[^{10}{{C}_{4}}\]
  done clear
  B)
   \[{{-}^{10}}{{C}_{4}}\]
  done clear
  C)
   \[^{10}{{C}_{5}}\]
  done clear
  D)
   \[^{10}{{C}_{6}}\]
  done clear
  View Answer play_arrow

• question_answer261) If the coefficient of second, third and fourth terms in the expansion of\[{{(1+x)}^{n}}\]are in AP, then n is equal to
  A)
   7, 5                
  done clear
  B)
   5, 4
  done clear
  C)
   4, 2    
  done clear
  D)
   3, 6
  done clear
  View Answer play_arrow

• question_answer262) If\[y=\sqrt{x+\sqrt{x+\sqrt{x+......\infty }}},\]then-y is equal to
  A)
   \[\frac{x}{2y-1}\]
  done clear
  B)
   \[\frac{1}{2y-1}\]
  done clear
  C)
   \[\frac{2}{y-1}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer263) Maximum value of the function\[f(x)=\frac{\log x}{x}\]in the interval\[0<x<\infty \]is
  A)
   e                 
  done clear
  B)
   \[\sqrt{e}\]
  done clear
  C)
   \[\frac{1}{e}\]              
  done clear
  D)
   \[\frac{2}{e}\]
  done clear
  View Answer play_arrow

• question_answer264) \[\int{\frac{dx}{\sqrt{x}(1+x)}}\]is equal to
  A)
   \[{{\tan }^{-1}}\sqrt{x}+c\]
  done clear
  B)
   \[2{{\tan }^{-1}}\sqrt{x}+c\]
  done clear
  C)
   \[2{{\tan }^{-1}}x+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer265) \[\int_{0}^{\pi /2}{\log \tan xdx}\]is equal to
  A)
   \[0\]
  done clear
  B)
   \[\pi \]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer266) If\[\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}\]are the position vectors of a\[\Delta ABC,\] then\[\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}\]is equal to
  A)
   \[\overrightarrow{0}\]                
  done clear
  B)
   \[2\text{ }\overrightarrow{AB}\]
  done clear
  C)
   \[2\text{ }\overrightarrow{BA}\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer267) The point (in first quadrant) on which the slope of the normal to the curve\[{{x}^{3}}=8{{a}^{2}}y\]is, \[-2/3,\] is
  A)
   (2a, a)           
  done clear
  B)
  \[(-2a,a)\]
  done clear
  C)
   (a, 2a)            
  done clear
  D)
  \[(a,-2a)\]
  done clear
  View Answer play_arrow

• question_answer268) \[\int_{a}^{2a}{f(x)}\,dx\] is equal to
  A)
   \[2\int_{a}^{2a}{f(x)}\,dx\]
  done clear
  B)
   0
  done clear
  C)
   \[\int_{a}^{a}{f(x)}\,dx+\int_{0}^{2a}{f(2a-x)dx}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer269) If\[2\hat{i}-\hat{j}+\hat{k},\hat{i}+2\hat{j}-3\hat{k}\]and\[3\hat{i}+p\hat{j}+5\hat{k}\]are coplanar, then p is equal to
  A)
   1              
  done clear
  B)
   -2
  done clear
  C)
   4              
  done clear
  D)
   -4
  done clear
  View Answer play_arrow

• question_answer270) Domain of the function\[\frac{1}{\sqrt{(x+2)(x-1)}}\]is
  A)
   \[(-\infty ,-2)\cup (1,\infty )\]
  done clear
  B)
   \[R-[-1,1]\]
  done clear
  C)
   \[(-\infty ,-2)\cup (2,\infty )\]
  done clear
  D)
   \[(-\infty ,1)\cup (2,\infty )\]
  done clear
  View Answer play_arrow

• question_answer271) If three dice are thrown together, then the probability of getting same digit on all the dice
  A)
   \[\frac{1}{6}\]
  done clear
  B)
   \[\frac{3}{36}\]
  done clear
  C)
   \[\frac{1}{36}\]
  done clear
  D)
   \[\frac{2}{3}\]
  done clear
  View Answer play_arrow

• question_answer272) If a dice is thrown twice, then the probability of getting 5 in first attempt only
  A)
   \[\frac{1}{36}\]
  done clear
  B)
   \[\frac{2}{36}\]
  done clear
  C)
   \[\frac{5}{36}\]
  done clear
  D)
   \[\frac{31}{36}\]
  done clear
  View Answer play_arrow

• question_answer273) If two dice are thrown together, then probability of getting 7 as the sum, is
  A)
   \[\frac{1}{36}\]
  done clear
  B)
    \[\frac{11}{36}\]
  done clear
  C)
   \[\frac{2}{36}\]
  done clear
  D)
   \[\frac{1}{36}\]
  done clear
  View Answer play_arrow

• question_answer274) A coin is tossed n times, then the probability of getting head odd number of times is
  A)
   \[\frac{1}{4}\]
  done clear
  B)
   \[{{\left( \frac{1}{2} \right)}^{n}}\]
  done clear
  C)
   \[\frac{1}{2}\]
  done clear
  D)
   \[\frac{3}{8}\]
  done clear
  View Answer play_arrow

• question_answer275) From the positive integers, four integers are selected randomly and then multiplied, then the probability of getting the digit 1, 3, 5 or 7 at the first place is
  A)
   \[\frac{16}{625}\]
  done clear
  B)
   \[\frac{8}{625}\]
  done clear
  C)
   \[\frac{10}{17}\]  
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer276) 15 persons shaked their hands with one another in a room. Total number of shake hand is
  A)
   90               
  done clear
  B)
   105
  done clear
  C)
   110              
  done clear
  D)
   115
  done clear
  View Answer play_arrow

• question_answer277) The value of x for which \[|x-1|+|x-2|+|x-3|\ge 6,\]is
  A)
   \[0\le x\le 4\]        
  done clear
  B)
  \[x\le -2\]and \[x\le 4\]
  done clear
  C)
   \[x\le 0\]and\[x\ge 4\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer278) \[a+ib<c+id\]is true only when
  A)
   \[a=0,c=0\]      
  done clear
  B)
   \[a=0,d=0\]
  done clear
  C)
   \[b=0,c=0\]      
  done clear
  D)
   \[b=0,d=0\]
  done clear
  View Answer play_arrow

• question_answer279) If\[{{z}_{1}},{{z}_{2}}\]are any two complex numbers, then
  A)
   \[|{{z}_{1}}+{{z}_{2}}|\ge |{{z}_{1}}|+|{{z}_{2}}|\]
  done clear
  B)
   \[|{{z}_{1}}+{{z}_{2}}|>|{{z}_{1}}|+|{{z}_{2}}|\]
  done clear
  C)
   \[|{{z}_{1}}+{{z}_{2}}|\le |{{z}_{1}}|+|{{z}_{2}}|\]
  done clear
  D)
   \[|{{z}_{1}}+{{z}_{2}}|=|{{z}_{1}}|+|{{z}_{2}}|\]
  done clear
  View Answer play_arrow

• question_answer280) \[\int{\sqrt{\frac{1+x}{1-x}}}dx\]is equal to
  A)
   \[-{{\sin }^{-1}}x\sqrt{1-{{x}^{2}}}+c\]
  done clear
  B)
   \[{{\sin }^{-1}}x-\sqrt{{{x}^{2}}-1}+c\]
  done clear
  C)
   \[{{\sin }^{-1}}x-\sqrt{1-{{x}^{2}}}+c\]
  done clear
  D)
   \[-{{\sin }^{-1}}x-\sqrt{{{x}^{2}}-1}+c\]
  done clear
  View Answer play_arrow

• question_answer281) Equation of tangent to the curve\[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\]at the point\[({{x}_{1}},{{y}_{1}})\]is
  A)
   \[xx_{1}^{1/3}+yy_{1}^{1/3}={{a}^{2/3}}\]
  done clear
  B)
   \[\frac{x}{{{x}^{1/3}}}+\frac{y}{{{y}^{1/3}}}={{a}^{2/3}}\]
  done clear
  C)
   \[x_{1}^{2/3}+yy_{1}^{2/3}={{a}^{1/3}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer282) If\[y=|x-1|+|x-3|,\]then the value of\[\frac{dy}{dx}\]at \[x=2\]is
  A)
   1                   
  done clear
  B)
   0
  done clear
  C)
   \[-1\]               
  done clear
  D)
   does not exist
  done clear
  View Answer play_arrow

• question_answer283) \[\frac{{{d}^{n}}}{d{{x}^{n}}}(\log x)\]is equal to
  A)
   \[\frac{{{(-1)}^{n-1}}(n-1)!}{{{x}^{n}}}\]
  done clear
  B)
   \[\frac{{{(-1)}^{n}}(n-1)!}{{{x}^{n-1}}}\]
  done clear
  C)
   \[\frac{{{(-1)}^{n}}n!}{{{x}^{n-1}}}\]
  done clear
  D)
   \[\frac{{{(-1)}^{n}}(n-1)!}{{{x}^{n-1}}}\]
  done clear
  View Answer play_arrow

• question_answer284) If the vectors\[\overrightarrow{AB}=3\hat{i}+5\hat{j}+4\hat{k}\]and\[\overrightarrow{Ac}=5\hat{i}-5\hat{j}+2\hat{k}\]are the sides of the\[\Delta ABC,\]then length of median passing from A is
  A)
   \[\sqrt{3}\]units          
  done clear
  B)
  \[2\sqrt{5}\]units
  done clear
  C)
   5 units           
  done clear
  D)
   10 units
  done clear
  View Answer play_arrow

• question_answer285) If the lines\[3x-4y+4=0\]and\[6x-8y-7=0\]are the tangents of a circle, then radius of the circle is
  A)
   \[\frac{3}{2}\]
  done clear
  B)
   \[\frac{3}{4}\]
  done clear
  C)
   \[\frac{1}{10}\]
  done clear
  D)
   \[\frac{1}{20}\]
  done clear
  View Answer play_arrow

• question_answer286) Parametric coordinates of\[{{x}^{2}}=4ay\]are
  A)
   \[(a{{t}^{2}},2at)\]
  done clear
  B)
   \[(a{{t}^{2}},-2at)\]
  done clear
  C)
   \[(-2at,a{{t}^{2}})\]
  done clear
  D)
   \[(2at,a{{t}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer287) Cofactors of the elements of second row of the determinant \[\left| \begin{matrix}    2 & -1 & 4  \\    4 & 2 & -3  \\    1 & 1 & 2  \\ \end{matrix} \right|\]are
  A)
   5, 1, 8           
  done clear
  B)
   6, 0, -3
  done clear
  C)
   5, 6, 4           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer288)  If \[A=\left[ _{-1}^{4}\,\,_{1}^{2} \right]\,\,,\] then \[(A-2I)(A-3I)\] is equal to
  A)
   \[{{A}^{2}}+6I\]
  done clear
  B)
   \[I\]
  done clear
  C)
   null matrix       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer289) If\[A=\left[ \begin{matrix}    4 & 1  \\    3 & 2  \\ \end{matrix} \right],\]then\[{{A}^{2}}-6A\]is equal to
  A)
   \[3I\]                
  done clear
  B)
   \[5I\]
  done clear
  C)
   \[-5I\]             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer290) If the points\[(x+1,2),(1,x+2)\]and \[\left( \frac{1}{x+1},\frac{2}{x+1} \right)\]are collinear, then\[x\]is equal to
  A)
   2               
  done clear
  B)
   4
  done clear
  C)
   \[-4\]              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer291) If\[{{x}_{n}}=\cos \left( \frac{\pi }{{{2}^{n}}}+i\sin \frac{\pi }{{{2}^{n}}} \right),n=1,2,3.....\]then the value\[{{x}_{1}}.{{x}_{2}}.{{x}_{3}}.....\infty \]is
  A)
   1               
  done clear
  B)
   \[-1\]
  done clear
  C)
   0               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer292) The number of ways to make a team of 10 players out of 22 players when 4 players are always in the team and 5 players are never in the team
  A)
   \[^{14}{{C}_{4}}\]
  done clear
  B)
   \[^{14}{{C}_{6}}\]
  done clear
  C)
   \[^{19}{{C}_{6}}\]
  done clear
  D)
   \[^{13}{{C}_{6}}\]
  done clear
  View Answer play_arrow

• question_answer293) Equation\[\frac{{{x}^{2}}}{2-r}+\frac{{{y}^{2}}}{r-5}+1=0\]represents an ellipse, if
  A)
   \[r>5\]               
  done clear
  B)
   \[r>2\]
  done clear
  C)
   \[2<r<5\]         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer294) If equation of latusrectum of a parabola is \[x+y=8\]and equation of tangent at its vertex is\[x+y=12,\]then length of its latusrectum is
  A)
   \[4\sqrt{2}\]
  done clear
  B)
   \[2\sqrt{2}\]
  done clear
  C)
   \[8\]
  done clear
  D)
   \[8\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer295) If area of the circle\[4{{x}^{2}}+4{{y}^{2}}-8x+16y+k=0\]is\[9\pi \]sq units, then the value of k is
  A)
   4              
  done clear
  B)
   \[10\]
  done clear
  C)
   \[-16\]            
  done clear
  D)
   ±16
  done clear
  View Answer play_arrow

• question_answer296) A rod of length 7 is kept with the support of a wall and floor of a room. If rod starts slipping, then the locus of its midpoint is
  A)
   a straight line    
  done clear
  B)
   a circle
  done clear
  C)
   a parabola        
  done clear
  D)
   an ellipse
  done clear
  View Answer play_arrow

• question_answer297) Two points on the curve\[y={{x}^{2}}+2x\]with abscissae 1 and 3, slope of the line joining these two points
  A)
   3                   
  done clear
  B)
   5
  done clear
  C)
   6                   
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer298) \[si{{n}^{6}}A+co{{s}^{6}}A+3si{{n}^{2}}Aco{{s}^{2}}A\]is equal to
  A)
   3                
  done clear
  B)
   2
  done clear
  C)
   1                
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer299) The equation which has the roots\[\frac{1}{3+\sqrt{2}}\]and\[\frac{1}{3-\sqrt{2}}\]is
  A)
   \[7{{x}^{2}}-6x+1=0\]
  done clear
  B)
   \[6{{x}^{2}}-7x+1=0\]
  done clear
  C)
   \[{{x}^{2}}-6x+7=0\]
  done clear
  D)
   \[{{x}^{2}}-7x+6=0\]
  done clear
  View Answer play_arrow

• question_answer300) If\[f(x)=\frac{2\sqrt{x+4}}{\sin 2x},(x\ne 0)\]is continuous at \[x=0,\]then\[f(0)\]is equal to
  A)
   1/4              
  done clear
  B)
   \[-1/4\]
  done clear
  C)
   1/8              
  done clear
  D)
   \[-1/8\]
  done clear
  View Answer play_arrow