Solved papers for J & K CET Engineering J and K - CET Engineering Solved Paper-2004

done J and K - CET Engineering Solved Paper-2004 Total Questions - 225

• question_answer1) The sound wave produced in a gas is always
  A)
  longitudinal    
  done clear
  B)
   transverse
  done clear
  C)
   stationary
  done clear
  D)
   electromagnetic
  done clear
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• question_answer2) Source of sound and the observer are mutually at rest. If the speed of sound is changed, then the frequency of sound heard by the observer will appear to be
  A)
   increased
  done clear
  B)
   decreased
  done clear
  C)
   unchanged
  done clear
  D)
   decreasing exponentially
  done clear
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• question_answer3) With what velocity should an observer approach stationary sound source, so that the apparent frequency of sound appear to be double of the initial frequency? (given velocity of sound = v)
  A)
   \[{{v}_{o}}=\frac{v}{2}\]
  done clear
  B)
   \[{{v}_{o}}=3v\]
  done clear
  C)
   \[{{v}_{o}}=2v\]
  done clear
  D)
   \[{{v}_{o}}=v\]
  done clear
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• question_answer4) A charge q is lying at mid-point of the line joining the two similar charges Q. The system will be in equilibrium, if the value of q is
  A)
   \[\frac{Q}{2}\]
  done clear
  B)
   \[-\frac{Q}{2}\]
  done clear
  C)
   \[\frac{Q}{4}\]
  done clear
  D)
   \[-\frac{Q}{4}\]
  done clear
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• question_answer5) Charges \[2q,\] \[-q\] and \[-q\] lie at the vertices of a triangle. The value of E and Vat the centroid of equilateral triangle will be
  A)
   \[E\ne 0\]and \[V\ne 0\]
  done clear
  B)
   \[E=0\]and \[V=0\]
  done clear
  C)
    \[E\ne 0\]and \[V=0\]
  done clear
  D)
   \[E=0\] and \[V\ne 0\]
  done clear
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• question_answer6) Infinite charges of magnitude q each are lying at \[x=1,2,4,8,...\]metre on X-axis. The value of intensity of electric field at point \[x=0\]due to these charges will be
  A)
   \[12\times {{10}^{9}}q\,N/C\]
  done clear
  B)
   zero
  done clear
  C)
   \[6\times {{10}^{9}}q\,N/C\]
  done clear
  D)
   \[4\times {{10}^{9}}q\,N/C\]
  done clear
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• question_answer7) The capacity of parallel plate capacitor in air and on immersing it into oil is \[50\mu F\] and \[110\mu F\]respectively. The dielectric constant of oil is
  A)
   \[0.45\]          
  done clear
  B)
   \[0.55\]
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  C)
   \[1.10\]          
  done clear
  D)
   \[2.20\]
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• question_answer8) The energy stored in a condenser is in the form of
  A)
   kinetic energy
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  B)
   potential energy
  done clear
  C)
   elastic energy
  done clear
  D)
   magnetic energy
  done clear
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• question_answer9) On increasing the plate separation of a charged condenser, the energy
  A)
   increases
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  B)
   decreases
  done clear
  C)
   remains unchanged
  done clear
  D)
   becomes zero
  done clear
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• question_answer10) The ratio of electric fields on the axis and at equator of an electric dipole will be
  A)
   \[1:1\]       
  done clear
  B)
   \[2:1\]
  done clear
  C)
   \[4:1\]          
  done clear
  D)
   \[1:4\]
  done clear
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• question_answer11) Some electric bulbs are connected in series across a \[220\text{ }V\]supply in a room. If one bulb is fused, then remaining bulbs are connected again in series across the same supply. The illumination in the room will be
  A)
   increase
  done clear
  B)
   decrease
  done clear
  C)
   remain the same
  done clear
  D)
   not continuous
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• question_answer12) If one junction of thermocouple is kept at \[{{0}^{o}}C\]and its emf is given by \[e=at+b{{t}^{2}},\]then the neutral temperature will be
  A)
   \[\frac{a}{b}\]
  done clear
  B)
   \[-\frac{a}{b}\]
  done clear
  C)
   \[\frac{a}{2b}\]
  done clear
  D)
   \[-\frac{a}{2b}\]
  done clear
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• question_answer13) A cube is constructed from 12 identical wires. Current enters one comer of the cube and it leaves the opposite comer. If the resistance of each wire is r, then equivalent resistance will be
  A)
   \[\frac{6\,r}{5}\]
  done clear
  B)
   \[\frac{5\,r}{6}\]
  done clear
  C)
   \[\frac{5\,r}{12}\]
  done clear
  D)
   \[\frac{12\,r}{5}\]
  done clear
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• question_answer14) A source of emf \[E=15V\] and having negligible internal resistance, is connected to a variable resistance, so that the current in the circuit increases with time as \[I=1.2t+3\]. Then, the total charge that will flow in first \[5\text{ }s\]will be
  A)
   \[10\text{ }C\]         
  done clear
  B)
   \[20\text{ }C\]
  done clear
  C)
  \[30\text{ }C\]          
  done clear
  D)
   \[40\text{ }C\]
  done clear
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• question_answer15) The magnetic induction at the centre of a current carrying circular of radius r, is
  A)
   directly proportional to r
  done clear
  B)
   inversely proportional to r
  done clear
  C)
   directly proportional to \[{{r}^{2}}\]
  done clear
  D)
   inversely proportional to \[{{r}^{2}}\]
  done clear
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• question_answer16) A current carrying conductor produces
  A)
   only electric field
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  B)
   only magnetic field
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  C)
   both electric and magnetic fields
  done clear
  D)
   neither electric nor magnetic field
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• question_answer17) A proton of energy \[8\text{ }eV\]is moving in a circular path in a uniform magnetic field. The energy of an alpha particle moving in the same magnetic field and along the same path will be
  A)
   \[4\text{ }eV\]         
  done clear
  B)
   \[2\text{ }eV\]
  done clear
  C)
   \[8\,\,eV\]         
  done clear
  D)
   \[6\,\,eV\]
  done clear
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• question_answer18) A \[1\text{ }m\]long wire is lying at right angles to the magnetic field. A force of 1 kg wt. is acting on it in a magnetic field of \[0.98\text{ }T\]. The current flowing in it will be
  A)
   \[100\text{ }A\]        
  done clear
  B)
   \[10\text{ }A\]
  done clear
  C)
   \[1\text{ }A\]           
  done clear
  D)
   zero
  done clear
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• question_answer19) The resultant magnetic moment of neon atom will be
  A)
   infinity      
  done clear
  B)
   \[{{\mu }_{B}}\]
  done clear
  C)
   zero
  done clear
  D)
   \[\frac{{{\mu }_{B}}}{2}\]
  done clear
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• question_answer20) The temperature at which ferromagnetic material becomes paramagnetic is called a
  A)
   neutral temperature
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  B)
   Curie temperature
  done clear
  C)
   inversion temperature                 
  done clear
  D)
   critical temperature                   
  done clear
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• question_answer21) The ultimate individual unit of magnetism in any magnet is called                      
  A)
   north pole                             
  done clear
  B)
   south pole
  done clear
  C)
   dipole
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  D)
   quadrupole
  done clear
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• question_answer22) The power loss in AC circuit will be minimum when  
  A)
   resistance is high, inductance is high     
  done clear
  B)
   resistance is high, inductance is low
  done clear
  C)
   resistance is low, inductance is low
  done clear
  D)
   None of the above
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• question_answer23) At high frequency, the capacitor offer
  A)
   more reactance
  done clear
  B)
   less reactance
  done clear
  C)
   zero reactance
  done clear
  D)
   infintie reactance
  done clear
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• question_answer24) The quantity that. remain unchanged in transformer is
  A)
   voltage       
  done clear
  B)
   current
  done clear
  C)
   frequency    
  done clear
  D)
   None of these
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• question_answer25) A piece of plane glass is placed on a word with letters of different colours. The letters which appear minimum raised are
  A)
   red           
  done clear
  B)
   green
  done clear
  C)
   yellow        
  done clear
  D)
   violet
  done clear
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• question_answer26) When light waves suffer reflection at the interface between air and glass, the change of phase of the reflected wave is equal to      
  A)
   zero           
  done clear
  B)
   \[\frac{\pi }{2}\]
  done clear
  C)
   \[\pi \]               
  done clear
  D)
   \[2\pi \]
  done clear
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• question_answer27) If the wavelength of light is \[4000\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,,\] then the number of waves in 1 mm length will be
  A)
   \[25\]           
  done clear
  B)
   \[0.25\]
  done clear
  C)
  \[0.25\times {{10}^{4}}\]    
  done clear
  D)
   \[25\times {{10}^{4}}\]
  done clear
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• question_answer28) The wave theory of light was given by
  A)
   Maxwell     
  done clear
  B)
   Planck
  done clear
  C)
   Huygen      
  done clear
  D)
   Young
  done clear
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• question_answer29) In Young's double slit experiment the amplitudes of two sources are \[3a\]and a respectively. The ratio of intensities of bright  and dark fringes will be                   
  A)
   \[3:1\]
  done clear
  B)
   \[4:1\]
  done clear
  C)
   \[2:1\]
  done clear
  D)
   \[9:1\]
  done clear
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• question_answer30) The diffraction effect can be observed in
  A)
   only sound waves
  done clear
  B)
   only light waves
  done clear
  C)
   only ultrasonic waves
  done clear
  D)
   sound as well as light waves
  done clear
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• question_answer31) At what distance from a convex lens of focal length 30 cm, an object should be placed, so that the size of the image be \[\frac{1}{2}th\] of the object?
  A)
   \[30\,cm\]      
  done clear
  B)
   \[60\,cm\]
  done clear
  C)
   \[15\,cm\]      
  done clear
  D)
   \[90\,cm\]
  done clear
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• question_answer32) Two coherent sources of intensity ratio \[1:4\] produce an interference pattern. The fringe visibility will be
  A)
   \[1\]               
  done clear
  B)
   \[0.8\]           
  done clear
  C)
   \[0.4\]            
  done clear
  D)
   \[0.6\]
  done clear
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• question_answer33) The specific charge of an electron is
  A)
   \[1.6\times {{10}^{-19}}C\]
  done clear
  B)
   \[4.8\times {{10}^{-19}}stat-C\]
  done clear
  C)
   \[1.76\times {{10}^{-11}}C/kg\]
  done clear
  D)
   \[1.76\times {{10}^{11}}C/kg\]
  done clear
  View Answer play_arrow

• question_answer34) The colour of the second line of Balmer series is:
  A)
   blue          
  done clear
  B)
   yellow
  done clear
  C)
   red           
  done clear
  D)
   violet
  done clear
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• question_answer35) If elements with principal quantum number \[n>4\] were not allowed in nature, the number of possible elements would be
  A)
   \[60\]          
  done clear
  B)
   \[32\]
  done clear
  C)
   \[4\]           
  done clear
  D)
   \[64\]
  done clear
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• question_answer36) The energy of incident photons corresponding to maximum wavelength of visible light is
  A)
   \[3.2\text{ }eV\]       
  done clear
  B)
   \[7\,eV\]
  done clear
  C)
   \[1.55\text{ }eV\]      
  done clear
  D)
   \[1\,eV\]
  done clear
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• question_answer37) If the work function of potassium is \[2\text{ }eV,\]then its photoelectric threshold wavelength is
  A)
   \[310\text{ }nm\]     
  done clear
  B)
   \[620\text{ }nm\]
  done clear
  C)
   \[6200\text{ }nm\]     
  done clear
  D)
   \[3100\text{ }nm\]
  done clear
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• question_answer38) Threshold wavelength for a metal\[5200\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]. The photoeletrons will be ejected, if it is irradiated by light from
  A)
    \[50\text{ }W\]infrared lamp
  done clear
  B)
   \[\text{1 }W\] infrared lamp
  done clear
  C)
   \[\text{50 }W\] ultraviolet lamp
  done clear
  D)
   \[\text{0}\text{.5 }W\] infrared lamp
  done clear
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• question_answer39) An electron and a proton are accelerated through the same potential difference. The ratio of their de-Broglie wavelength will be
  A)
   \[{{\left( \frac{{{m}_{p}}}{{{m}_{e}}} \right)}^{1/2}}\]
  done clear
  B)
   \[\frac{{{m}_{e}}}{{{m}_{p}}}\]
  done clear
  C)
   \[\frac{{{m}_{p}}}{{{m}_{e}}}\]
  done clear
  D)
   \[\frac{a}{\sqrt{2}}\]
  done clear
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• question_answer40) A particle with rest mass zero is moving with speed c. The de-Broglie wavelength associated with it
  A)
   zero          
  done clear
  B)
   infinity
  done clear
  C)
   \[\frac{hv}{c}\]       
  done clear
  D)
   \[\frac{{{m}_{0}}c}{h}\]
  done clear
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• question_answer41) The nearest distance between two atoms in case of a bcc lattice is equal to
  A)
   \[\frac{a\sqrt{2}}{3}\]
  done clear
  B)
   \[\frac{a\sqrt{3}}{2}\]
  done clear
  C)
   \[a\sqrt{3}\]
  done clear
  D)
   \[\frac{a}{\sqrt{2}}\]
  done clear
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• question_answer42) Which of the following is an amorphous substance?
  A)
   Gold         
  done clear
  B)
   Silver
  done clear
  C)
   Copper       
  done clear
  D)
   Glass
  done clear
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• question_answer43) The maximum efficiency of full wave rectifier is
  A)
   \[100%\]       
  done clear
  B)
   \[25.20%\]
  done clear
  C)
   \[40.6%\]       
  done clear
  D)
   \[81.2%\]
  done clear
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• question_answer44) In a npn-transistor, the collector current is\[10\text{ }mA\]. If \[90%\] of the electrons emitted reach the collector, then the emitter current will be
  A)
   \[9\,\,mA\]       
  done clear
  B)
   \[11\,\,mA\]
  done clear
  C)
   \[1\,\,mA\]         
  done clear
  D)
   \[0.1\,\,mA\]
  done clear
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• question_answer45) The given truth table is of

  A	B	X
  0	0	0
  0	1	1
  1	0	1
  1	1	1

  A)
   OR gate     
  done clear
  B)
   AND gate
  done clear
  C)
   NOT gate    
  done clear
  D)
   XOR gate
  done clear
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• question_answer46) If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be
  A)
   \[[F{{L}^{-1}}{{T}^{2}}]\]      
  done clear
  B)
   \[[F{{L}^{-1}}{{T}^{-2}}]\]
  done clear
  C)
   \[[F{{L}^{-1}}{{T}^{-1}}]\]
  done clear
  D)
   \[[F{{L}^{2}}{{T}^{2}}]\]
  done clear
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• question_answer47) The horizontal range of a projectile is \[4\sqrt{3}\] times its maximum height. Its angle of projection will be
  A)
   \[{{45}^{o}}\]          
  done clear
  B)
   \[{{60}^{o}}\]
  done clear
  C)
   \[{{90}^{o}}\]          
  done clear
  D)
   \[{{30}^{o}}\]
  done clear
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• question_answer48) Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible)?
  A)
   Heavy ball
  done clear
  B)
   Light ball
  done clear
  C)
   Both simultaneously
  done clear
  D)
   Will depend upon the density of the balls
  done clear
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• question_answer49) A person moves \[30\text{ }m\]north and then \[20\text{ }m\] towards east and finally 30^2 min south-west direction. The displacement of the person from the origin will be
  A)
   \[10\text{ }m\]along north
  done clear
  B)
   \[10\text{ }m\]along south
  done clear
  C)
   \[10\text{ }m\] along west
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer50) If the velocity of a particle is given by \[v={{(180-16x)}^{1/2}}\,m/s\]. then its acceleration will be
  A)
   zero         
  done clear
  B)
   \[8\text{ }m/{{s}^{2}}\]
  done clear
  C)
   \[-8\text{ }m/{{s}^{2}}\]      
  done clear
  D)
   \[4\text{ }m/{{s}^{2}}\]
  done clear
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• question_answer51) Neglecting the air resistance, the time of flight of a projectile is determined by
  A)
   \[{{U}_{vertical}}\]
  done clear
  B)
   \[{{U}_{horizontal}}\]
  done clear
  C)
   \[U={{U}_{vertical}}+U_{horizontal}^{2}\]
  done clear
  D)
   \[U={{(U_{vertical}^{2}+U_{horizontal}^{2})}^{1/2}}\]
  done clear
  View Answer play_arrow

• question_answer52) A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
  A)
   east-north direction
  done clear
  B)
   west-north direction
  done clear
  C)
   south-east direction
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer53) A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?
  A)
   \[2\text{ }m/s\]       
  done clear
  B)
   \[\sqrt{2}\text{ }m/s\]
  done clear
  C)
   \[1\text{ }m/s\]       
  done clear
  D)
   \[0.2\text{ }m/s\]
  done clear
  View Answer play_arrow

• question_answer54) If the kinetic energy of a body becomes four times, then its momentum will be
  A)
   \[{{P}_{new}}=3{{p}_{initial~}}\]
  done clear
  B)
   \[{{P}_{new}}=4{{p}_{initial~}}\]
  done clear
  C)
   \[{{P}_{new}}=2{{p}_{initial~}}\]
  done clear
  D)
   \[{{P}_{new}}={{p}_{initial~}}\]
  done clear
  View Answer play_arrow

• question_answer55) A block of mass \[2\text{ }kg\]is lying on an inclined plane, inclined to the horizontal at\[{{30}^{o}}\]. If the coefficient of friction between the block and the plane is \[0.7,\] then magnitude of frictional force acting on the block will be
  A)
   \[11.9\text{ }N\]
  done clear
  B)
   \[1.19N\]
  done clear
  C)
   \[0.19\text{ }N\]
  done clear
  D)
   \[11.0\text{ }N\]
  done clear
  View Answer play_arrow

• question_answer56) A ring of mass m and radius r is melted and then moulded into a sphere. The moment of inertia of the sphere will be
  A)
   more than that of the ring
  done clear
  B)
   less than that of the ring
  done clear
  C)
   equal to that of the ring
  done clear
  D)
   None of the above
  done clear
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• question_answer57) A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing
  A)
   by determining their moments of inertia about their coaxial axes
  done clear
  B)
   by rolling them simultaneously on an inclined plane
  done clear
  C)
   by rotating them about a common axis of rotation
  done clear
  D)
   by applying equal torque on them
  done clear
  View Answer play_arrow

• question_answer58) Point masses \[1,\text{ }2,-3\]and \[4\text{ }kg\]are lying at the point \[(0,0,0)\]\[(2,0,0)\]\[(0,3,0)\]  and \[(-2,-2,0)\] respectively. The moment of inertia of this system about x-axis will be
  A)
   \[43\,kg-{{m}^{2}}\]
  done clear
  B)
   \[34\,kg-{{m}^{2}}\]
  done clear
  C)
   \[27\,kg-{{m}^{2}}\]    
  done clear
  D)
   \[72\,kg-{{m}^{2}}\]              
  done clear
  View Answer play_arrow

• question_answer59) The radius of gyration of a body about an axis at a distance \[6\text{ }cm\] from its centre of mass is\[10\text{ }cm\]. Then its radius of gyration about a parallel axis through its centre of mass will be
  A)
   \[80\,\,cm\]        
  done clear
  B)
   \[8\,\,cm\]
  done clear
  C)
   \[0.8\,\,cm\]       
  done clear
  D)
   \[80\,\,m\]
  done clear
  View Answer play_arrow

• question_answer60) Two planets of radii in the ratio \[2:3\]are made from the material of density in the ratio\[3:2\]. Then, the ratio of acceleration due to gravity \[\frac{{{g}_{1}}}{{{g}_{2}}}\] at the surface of the two planets will be
  A)
   \[1\]            
  done clear
  B)
   \[2.25\]
  done clear
  C)
   \[4/9\]           
  done clear
  D)
   \[0.12\]
  done clear
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• question_answer61) If the radius of the earth contracts to half of its present day value without change in mass, then the length of the day will be
  A)
   \[24\text{ }h\]         
  done clear
  B)
   \[48\text{ }h\]
  done clear
  C)
   \[\text{6 }h\]           
  done clear
  D)
   \[\text{12 }h\]
  done clear
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• question_answer62) A person will get more quantity of matter in kg-wt at
  A)
   poles
  done clear
  B)
   at latitude of \[{{60}^{o}}\]
  done clear
  C)
   equator
  done clear
  D)
   satellite
  done clear
  View Answer play_arrow

• question_answer63) The unit of the coefficient of viscosity in SI system is
  A)
   \[m/kg-s\]      
  done clear
  B)
   \[~m-s/k{{g}^{2}}\]
  done clear
  C)
   \[kg/m-{{s}^{2}}\]     
  done clear
  D)
   \[kg/m-s\]
  done clear
  View Answer play_arrow

• question_answer64) If the excess pressure inside a soap bubble is balanced by oil column of height \[2\text{ }mm,\]then the surface tension of soap solution will be ( \[r=1\text{ }cm\]and density \[d=0.8\text{ }g/\text{ }cc\])
  A)
  \[3.9\text{ }N/m\]
  done clear
  B)
   \[3.9\times {{10}^{-1}}N/m\]
  done clear
  C)
   \[3.9\times {{10}^{-2}}N/m\]
  done clear
  D)
   \[3.9\,dyne/m\]
  done clear
  View Answer play_arrow

• question_answer65) A vessel, whose bottom has round holes with diameter of \[1\text{ }mm\]is filled with water. Assuming that surface tension acts only at holes. Then, the maximum height to which the water can be filled in vessel without leakage is (surface tension of water is \[75\times {{10}^{-3}}\text{ }N/m\]and \[g=10\text{ }m/{{s}^{2}}\])
  A)
   \[3\,cm\]        
  done clear
  B)
   \[0.3\,cm\]
  done clear
  C)
   \[3\text{ }mm\]       
  done clear
  D)
   \[~3\text{ }m\]
  done clear
  View Answer play_arrow

• question_answer66) For which of the two pairs, the angle of contact is same?
  A)
   Water and glass, glass and mercury
  done clear
  B)
   Pure water and glass, glass and alcohol
  done clear
  C)
   Silver and water, mercury and glass
  done clear
  D)
   Silver and chromium, water and chromium
  done clear
  View Answer play_arrow

• question_answer67) At what temperature the mis velocity of helium molecules will be equal to that of hydrogen moekules at NTP?
  A)
   \[844\text{ }K\]        
  done clear
  B)
   \[64\text{ }K\]
  done clear
  C)
   \[{{273}^{o}}C\]      
  done clear
  D)
   \[273\text{ }K\]
  done clear
  View Answer play_arrow

• question_answer68) Which of the following is unique function of initial and final states?
  A)
   \[dQ\]          
  done clear
  B)
   \[dW\]  
  done clear
  C)
   \[dU\]          
  done clear
  D)
   \[\Delta Q\,\,and\,\,\Delta W\]
  done clear
  View Answer play_arrow

• question_answer69) If the initial temperatures of metallic sphere and disc of same radius and nature are equal, then the ratio of their rate of cooling will be
  A)
   \[1:4\]         
  done clear
  B)
   \[4:1\]
  done clear
  C)
   \[1:2\]         
  done clear
  D)
   \[2:1\]
  done clear
  View Answer play_arrow

• question_answer70) What will be the ratio of temperatures of sun and moon, if the wavelengths of their maximum emission radiations rates are  \[140\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]and \[4200\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]respectively?
  A)
   \[1:30\]        
  done clear
  B)
   \[30:1\]
  done clear
  C)
   \[42:14\]       
  done clear
  D)
   \[14:42\]
  done clear
  View Answer play_arrow

• question_answer71) A bar magnet is oscillating in the earth's magnetic field with time period T. If its mass is increased four times, then its time period will be
  A)
   \[4T\]          
  done clear
  B)
   \[2T\]
  done clear
  C)
   \[T\]              
  done clear
  D)
   \[r\]
  done clear
  View Answer play_arrow

• question_answer72) The time period of a simple pendulum, when it is made to oscillate on the surface of moon
  A)
   increases
  done clear
  B)
   decreases
  done clear
  C)
   remains unchanged
  done clear
  D)
   becomes infinite
  done clear
  View Answer play_arrow

• question_answer73) A condenser of capacity \[20\mu F\] is first charged and then discharged through a \[10\text{ }mH\] inductance. Neglecting the resistance of the coil, the frequency of the resulting vibrations will be
  A)
   \[356\,cycle/h\]
  done clear
  B)
   \[356\,cycle/s\]
  done clear
  C)
   \[356\times {{10}^{3}}\,cycle/s\]
  done clear
  D)
   \[3.56\,cycle/s\]
  done clear
  View Answer play_arrow

• question_answer74) Infinite springs with force constants k, 2k, 4k and 8 k... respectively are connected in series. The effective force constant of the spring will be
  A)
   \[2k\]          
  done clear
  B)
   \[k\]
  done clear
  C)
   \[\frac{k}{2}\]            
  done clear
  D)
   \[2048\]
  done clear
  View Answer play_arrow

• question_answer75) The intensity of sound gets reduced by 10% on passing through a slab. The reduction in intensity on passage through three consecutive slabs is
  A)
   \[30%\]        
  done clear
  B)
   \[27.1%\]
  done clear
  C)
   \[20%\]   
  done clear
  D)
   \[36%\]
  done clear
  View Answer play_arrow

• question_answer76) The hydrogen electrode is dipped in a solution of \[pH=3\]at \[25{{\,}^{o}}C.\] The potential of the cell would be (the value of.2.303 RT/F is 0.059 V)
  A)
  \[~0.177\,V\]      
  done clear
  B)
  \[~0.087\,V\]
  done clear
  C)
  \[~-0.177\,V\]     
  done clear
  D)
  \[0.059\,V\]
  done clear
  View Answer play_arrow

• question_answer77) Specific conductivity of a solution
  A)
   increases with dilution
  done clear
  B)
   decreases with dilution
  done clear
  C)
   remains unchanged with dilution
  done clear
  D)
   depends on mass of electrolyte
  done clear
  View Answer play_arrow

• question_answer78) \[\text{1 mol}\]of \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]is mixed with 2 moles of \[\text{NaOH}\text{.}\]The heat evolved will be
  A)
  \[57.3\,kJ\]
  done clear
  B)
  \[2\times 57.3\,kJ\]
  done clear
  C)
  \[57.3/2\,kJ\]
  done clear
  D)
   cannot be predicted
  done clear
  View Answer play_arrow

• question_answer79) In a reversible process, \[\Delta {{S}_{system}}+\Delta {{S}_{\text{surrounding}}}\] is
  A)
  \[~>0\]            
  done clear
  B)
  \[<0\]
  done clear
  C)
  \[~>0\]            
  done clear
  D)
  \[=0\]
  done clear
  View Answer play_arrow

• question_answer80) For the reaction, \[{{N}_{2}}+3{{H}_{2}}2NH;\Delta H=?\]
  A)
  \[\Delta E=+\,2RT\]
  done clear
  B)
  \[\Delta E-\,2RT\]
  done clear
  C)
   \[\Delta E+\,RT\]
  done clear
  D)
  \[\Delta E-\,RT\]
  done clear
  View Answer play_arrow

• question_answer81) One mole of a perfect gas expands isothermally to ten times of its original volume. The change in entropy is
  A)
   0.1 R         
  done clear
  B)
   2.303 R
  done clear
  C)
   10.0 R        
  done clear
  D)
   100.0 R
  done clear
  View Answer play_arrow

• question_answer82) Which of the following solutions will have the highest boiling point?
  A)
  \[\text{0}\text{.1 M FeC}{{\text{l}}_{\text{3}}}\]  
  done clear
  B)
  \[\text{0}\text{.1 M BaC}{{\text{l}}_{2}}\]
  done clear
  C)
   \[\text{0}\text{.1 M NaCl}\]
  done clear
  D)
  \[\text{0}\text{.1}\,\text{M}\,\text{urea}\]
  done clear
  View Answer play_arrow

• question_answer83) Maximum freezing point falls in
  A)
   camphor     
  done clear
  B)
   naphthalene
  done clear
  C)
   benzene     
  done clear
  D)
   water
  done clear
  View Answer play_arrow

• question_answer84) Azeotropic mixture of \[\text{HCl}\]and water has
  A)
  \[\text{48 }\!\!%\!\!\text{  HCl}\]     
  done clear
  B)
  \[\text{ }\!\!~\!\!\text{ 22}\text{.2 }\!\!%\!\!\text{  HCl}\]
  done clear
  C)
  \[\text{36 }\!\!%\!\!\text{  HCl}\]     
  done clear
  D)
  \[\text{ }\!\!~\!\!\text{ 20}\text{.2 }\!\!%\!\!\text{  HCl}\]
  done clear
  View Answer play_arrow

• question_answer85) Vapour pressure of dilute aqueous solution of glucose is 750 mm of mercury at 373 K. The mole fraction of solute is
  A)
  \[\frac{1}{76}\]
  done clear
  B)
   \[\frac{1}{7.6}\]
  done clear
  C)
   \[\frac{1}{38}\]
  done clear
  D)
   \[\frac{1}{10}\]
  done clear
  View Answer play_arrow

• question_answer86) Volume of \[\text{0}\text{.1}\,\text{M}\,{{\text{K}}_{\text{2}}}\text{C}{{\text{r}}_{\text{2}}}{{\text{O}}_{\text{7}}}\] required to oxidize 35 mL of \[\text{0}\text{.5 M FeS}{{\text{O}}_{\text{4}}}\]solution is
  A)
   29.2 mL      
  done clear
  B)
   17.5 mL
  done clear
  C)
   175 mL      
  done clear
  D)
   145 Ml
  done clear
  View Answer play_arrow

• question_answer87) \[100\,cc\]of \[\text{0}\text{.6}\,\text{N}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]and \[\text{200 cc}\]of \[\text{0}\text{.3}\,\text{N}\,\text{HCl}\]were mixed together. The normality of the solution will be
  A)
   0.2 N          
  done clear
  B)
   0.4 N
  done clear
  C)
   0.8 N          
  done clear
  D)
   0.6 N
  done clear
  View Answer play_arrow

• question_answer88) The rate of diffusion of a gas is proportional to
  A)
  \[\frac{p}{\sqrt{d}}\]
  done clear
  B)
   \[\sqrt{\frac{p}{d}}\]
  done clear
  C)
   \[\frac{p}{d}\]
  done clear
  D)
   \[\frac{\sqrt{p}}{d}\]
  done clear
  View Answer play_arrow

• question_answer89) Molar volume of \[\text{C}{{\text{O}}_{\text{2}}}\]is maximum at
  A)
   NTP
  done clear
  B)
   \[\text{0}{{\,}^{o}}\text{C}\]and 2.0 atm
  done clear
  C)
  \[127{{\,}^{o}}C\] and\[\text{ }\!\!~\!\!\text{ 1 atm}\]
  done clear
  D)
  \[~273{{\,}^{o}}C\] and \[2.0\,\text{atm}\]
  done clear
  View Answer play_arrow

• question_answer90) Number of atoms of oxygen present in 10.6 g of \[\text{N}{{\text{a}}_{\text{2}}}\text{C}{{\text{O}}_{\text{3}}}\]will be
  A)
  \[6.02\times {{10}^{23}}\]
  done clear
  B)
  \[12.04\times {{10}^{22}}\]
  done clear
  C)
   \[1.806\times {{10}^{23}}\]
  done clear
  D)
   \[31.80\times {{10}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer91) The equilibrium \[{{P}_{4}}(s)+6C{{l}_{2}}(g)\rightleftharpoons 4PC{{l}_{3}}(g)\]is attained by mixing equal moles of\[{{\text{P}}_{\text{4}}}\]and\[\text{C}{{\text{l}}_{\text{2}}}\]in an evacuated vessel. Then, at equilibrium
  A)
   \[[C{{l}_{2}}]>[PC{{l}_{3}}]\]
  done clear
  B)
  \[[C{{l}_{2}}]>[{{P}_{4}}]\]
  done clear
  C)
   \[[{{P}_{4}}]>[C{{l}_{2}}]\]
  done clear
  D)
   \[[PC{{l}_{3}}]>[{{P}_{4}}]\]
  done clear
  View Answer play_arrow

• question_answer92) The activation energy for most of the reactions is approximately \[50\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}.\] The value of temperature coefficient for such reactions is
  A)
  \[~>2\]          
  done clear
  B)
  \[~>3\]
  done clear
  C)
  \[~<\,\,1\]           
  done clear
  D)
  \[~>4\]
  done clear
  View Answer play_arrow

• question_answer93) If the mass defect of \[_{\text{4}}^{\text{9}}\text{X}\]is\[\text{0}\text{.090 u,}\] then binding energy per nucleon is \[\text{(1}\,\text{u}\,\text{=}\,\text{931}\text{.5}\,\text{MeV)}\]
  A)
  \[\text{9}\text{.315 MeV}\]   
  done clear
  B)
  \[\text{ }\!\!~\!\!\text{ 931}\text{.5 MeV}\]
  done clear
  C)
  \[\text{ }\!\!~\!\!\text{ 83}\text{.0 MeV}\]    
  done clear
  D)
  \[\text{ }\!\!~\!\!\text{ 8}\text{.38 MeV}\]
  done clear
  View Answer play_arrow

• question_answer94) \[\text{50 mL}\]of\[\text{0}\text{.1}\,\text{M}\,\text{HCl}\] and 50 mL of 0.2 M \[\text{NaOH}\] are mixed. The pH of the resulting solution is
  A)
   1.30         
  done clear
  B)
   4.2
  done clear
  C)
   12.70        
  done clear
  D)
   11.70
  done clear
  View Answer play_arrow

• question_answer95) A substance \[{{A}_{x}}{{B}_{y}}\]crystallises in a face centred cubic lattice in which A atom occupies each comer of cube and atom B occupies the centres of each face of the cube. Identify the correct composition of the substance \[{{A}_{x}}{{B}_{y}}.\]
  A)
  \[A{{B}_{3}}\]
  done clear
  B)
  \[{{A}_{4}}{{B}_{3}}\]
  done clear
  C)
   \[{{A}_{3}}B\]
  done clear
  D)
   composition cannot be specified
  done clear
  View Answer play_arrow

• question_answer96) In coagulating the colloidal solution of \[\text{A}{{\text{s}}_{\text{2}}}{{\text{S}}_{\text{3}}}\]which has the maximum coagulating value?
  A)
  \[\text{NaCl}\]
  done clear
  B)
  \[KCl\]
  done clear
  C)
   \[BaC{{l}_{2}}\]
  done clear
  D)
  \[AlC{{l}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer97) Which of the following is the strongest oxidising agent?
  A)
  \[HOCl\]
  done clear
  B)
  \[HCl{{O}_{2}}\]
  done clear
  C)
   \[HCl{{O}_{3}}\]
  done clear
  D)
  \[HCl{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer98) In the equation \[4M+8C{{N}^{-}}+2{{H}_{2}}O+{{O}_{2}}\xrightarrow{{}}4{{[M{{(CN)}_{2}}]}^{-}}\] \[+\,4\,O{{H}^{-}}\] Identify the metal M.
  A)
   copper       
  done clear
  B)
   iron
  done clear
  C)
   silver          
  done clear
  D)
   zinc
  done clear
  View Answer play_arrow

• question_answer99) The formula of azurite is
  A)
  \[CuC{{O}_{3}}.Cu{{(OH)}_{2}}\]
  done clear
  B)
   \[2CuC{{O}_{3}}.Cu{{(OH)}_{2}}\]
  done clear
  C)
   \[CuC{{O}_{3}}.2Cu{{(OH)}_{2}}\]
  done clear
  D)
   \[CuS{{O}_{4}}.Cu{{(OH)}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer100) The decreasing order of bond angle is
  A)
  \[N{{O}_{2}}>NO_{2}^{+}>NO_{2}^{-}\]
  done clear
  B)
   \[NO_{2}^{-}>N{{O}_{2}}>NO_{2}^{+}\]
  done clear
  C)
   \[NO_{2}^{+}>N{{O}_{2}}>NKO_{2}^{-}\]
  done clear
  D)
   \[NO_{2}^{+}>NO_{2}^{-}>N{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer101) The fresh precipitate can be transformed in colloidal state by
  A)
   peptization   
  done clear
  B)
   coagulation
  done clear
  C)
   diffusion     
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer102) Milk is
  A)
   fat disperse4 in water
  done clear
  B)
   fat dispersed in milk
  done clear
  C)
   fat dispersed in fat
  done clear
  D)
   water dispersed in milk
  done clear
  View Answer play_arrow

• question_answer103) Purest form of iron is
  A)
   cast iron      
  done clear
  B)
   pig iron
  done clear
  C)
   wrought iron  
  done clear
  D)
   steel
  done clear
  View Answer play_arrow

• question_answer104) Most unstable hydride is
  A)
  \[~N{{H}_{3}}\]        
  done clear
  B)
  \[~P{{H}_{3}}\]
  done clear
  C)
  \[~As{{H}_{3}}\]         
  done clear
  D)
  \[~Bi{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer105) Out of the following metals that cannot be obtained by electrolysis of the aqueous solution of its salts is
  A)
   Ag           
  done clear
  B)
   Cr
  done clear
  C)
   Cu           
  done clear
  D)
   Mg
  done clear
  View Answer play_arrow

• question_answer106) \[\text{KI}\]and \[\text{CuS}{{\text{O}}_{\text{4}}}\]solution when mixed gives
  A)
   \[Cu{{l}_{2}}+{{K}_{2}}S{{O}_{4}}\]
  done clear
  B)
  \[C{{u}_{2}}{{I}_{2}}+{{K}_{2}}S{{O}_{4}}\]
  done clear
  C)
   \[{{K}_{2}}S{{O}_{4}}+C{{u}_{2}}{{I}_{2}}+{{I}_{2}}\]
  done clear
  D)
   \[{{K}_{2}}S{{O}_{4}}+Cu{{I}_{2}}+{{I}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer107) The strongest reducing agent among the following is
  A)
  \[{{F}^{-}}\]             
  done clear
  B)
   \[C{{l}^{-}}\]
  done clear
  C)
  \[B{{r}^{-}}\]            
  done clear
  D)
  \[{{I}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer108) \[\text{Xe}{{\text{F}}_{\text{6}}}\]on complete hydrolysis gives
  A)
  \[\text{Xe}\]         
  done clear
  B)
  \[\text{ }\!\!~\!\!\text{ Xe}{{\text{O}}_{\text{2}}}\]
  done clear
  C)
  \[Xe{{O}_{3}}\]        
  done clear
  D)
  \[\text{ }\!\!~\!\!\text{ Xe}{{\text{O}}_{\text{4}}}\]
  done clear
  View Answer play_arrow

• question_answer109) The correct name of the compound\[[Cu{{(N{{H}_{3}})}_{4}}]{{(N{{O}_{3}})}_{2}},\]according to IUPAC system is
  A)
   cuprammonium nitrate
  done clear
  B)
   tetrammine copper(II) dinitrate          
  done clear
  C)
   tetrammine copper(II) nitrate
  done clear
  D)
   tetrammine copper(II) dinitrite
  done clear
  View Answer play_arrow

• question_answer110) Which of the following complex species does not involve inner orbital hybridisation?
  A)
   \[{{[Co{{F}_{6}}]}^{3-}}\]
  done clear
  B)
   \[{{[Co{{(N{{H}_{3}})}_{6}}]}^{3+}}\]
  done clear
  C)
   \[{{[Fe{{(CN)}_{6}}]}^{3-}}\]
  done clear
  D)
   \[{{[Cr{{(N{{H}_{3}})}_{6}}]}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer111) \[{{\,}_{\text{27}}}\text{C}{{\text{o}}^{\text{60}}}\]is radioactive because
  A)
   its atomic number is high
  done clear
  B)
   it has high \[\frac{p}{n}\]ratio
  done clear
  C)
   it has high\[\frac{n}{p}\]ratio
  done clear
  D)
   none of the above
  done clear
  View Answer play_arrow

• question_answer112) The correct order of solubility of the sulphates of alkaline earth metals in water is
  A)
  \[~Be>Ca>Mg>Ba>Sr\]
  done clear
  B)
  \[~Mg>Be>Ba>Ca>Sr\]
  done clear
  C)
  \[Be>Mg>Ca>Sr>Ba\]      
  done clear
  D)
   \[Mg>Ca>Ba>Be>Sr\]
  done clear
  View Answer play_arrow

• question_answer113) Correct order of radii is
  A)
  \[N<Be<B\]
  done clear
  B)
   \[{{F}^{-}}<{{O}^{2-}}<{{N}^{3-}}\]
  done clear
  C)
   \[Na<Li<K\]
  done clear
  D)
   \[F{{e}^{3+}}<F{{e}^{2+}}<F{{e}^{4+}}\]
  done clear
  View Answer play_arrow

• question_answer114) A sudden large jump between the values of first and second ionisation energies of elements would be associated with which of the following electronic configurations?
  A)
   \[1{{s}^{2}},2{{s}^{2}}2{{p}^{6}},3{{s}^{1}}\]
  done clear
  B)
   \[1{{s}^{2}},2{{s}^{2}}2{{p}^{6}},3{{s}^{2}}3{{p}^{1}}\]
  done clear
  C)
   \[1{{s}^{2}},2{{s}^{2}}2{{p}^{6}},3{{s}^{1}}3{{p}^{2}}\]
  done clear
  D)
   \[1{{s}^{2}},2{{s}^{2}}2{{p}^{6}},3{{s}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer115) Which one shows most pronounced inert pair effect?
  A)
  \[\text{Si}\]            
  done clear
  B)
  \[Sn\]
  done clear
  C)
   \[Pb\]
  done clear
  D)
   C
  done clear
  View Answer play_arrow

• question_answer116) Which of the following will form a colourless complex?
  A)
  \[N{{i}^{2+}}\]
  done clear
  B)
  \[C{{u}^{+}}\]
  done clear
  C)
   \[T{{i}^{2+}}\]
  done clear
  D)
  \[F{{e}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer117) Silver containing lead as impurity is purified by
  A)
   poling        
  done clear
  B)
   cupellation
  done clear
  C)
   lavigation     
  done clear
  D)
   distillation
  done clear
  View Answer play_arrow

• question_answer118) The metal extracted by cyanide process is
  A)
   silver        
  done clear
  B)
   copper
  done clear
  C)
   iron          
  done clear
  D)
   sodium
  done clear
  View Answer play_arrow

• question_answer119) On the extraction of iron, the slag produced is
  A)
   \[CO\]
  done clear
  B)
  \[FeSi{{O}_{3}}\]
  done clear
  C)
   \[MgSi{{O}_{3}}\]
  done clear
  D)
   \[Casi{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer120) Complex forming tendency is more for
  A)
   \[N{{a}^{+}}\]
  done clear
  B)
  \[{{K}^{+}}\]
  done clear
  C)
   \[L{{i}^{+}}\]
  done clear
  D)
  \[R{{b}^{+}}\]
  done clear
  View Answer play_arrow

• question_answer121) In the reaction, The major product A is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer122) The IUPAC name of the following compound is
  A)
   propionic anhydride
  done clear
  B)
   dipropanoic anhydride
  done clear
  C)
   ethoxy propanoic acid
  done clear
  D)
   propanoic anhydride
  done clear
  View Answer play_arrow

• question_answer123) Which of the following compounds is not aromatic?                           
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer124) Which of the following is the most stable cation?
  A)
   \[{{F}_{3}}C-CH_{2}^{\oplus }\]
  done clear
  B)
   \[{{(C{{H}_{3}})}_{2}}C{{H}^{\oplus }}\]
  done clear
  C)
   \[CH_{3}^{\oplus }\]
  done clear
  D)
   \[CF_{3}^{\oplus }\]
  done clear
  View Answer play_arrow

• question_answer125) The product A is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer126) Tautomerism is not exhibited by
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer127) In the compound Configuration at \[{{C}_{2}}\]and \[{{C}_{3}}\]atoms are
  A)
   \[S,S\]
  done clear
  B)
  \[R,S\]
  done clear
  C)
   \[S,R\]
  done clear
  D)
  \[R,R\]
  done clear
  View Answer play_arrow

• question_answer128)     The product A is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer129) Hinsberg reagent is
  A)
   \[{{C}_{6}}{{H}_{S}}S{{O}_{3}}H\]
  done clear
  B)
   \[{{C}_{6}}{{H}_{5}}NO\]
  done clear
  C)
   \[{{C}_{6}}{{H}_{5}}S{{O}_{2}}Cl\]
  done clear
  D)
  \[{{C}_{6}}{{H}_{5}}{{N}_{2}}Cl\]
  done clear
  View Answer play_arrow

• question_answer130) Acetaldehyde cannot show
  A)
   lodoform test
  done clear
  B)
   Lucas test
  done clear
  C)
   Benedict's test
  done clear
  D)
   Toilers test
  done clear
  View Answer play_arrow

• question_answer131) Ethylbenzene with bromine in presence of \[\text{FeB}{{\text{r}}_{\text{3}}}\text{,}\]predominantly gives
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer132) Which of the following will be most readily dehydrated under acidic conditions?
  A)
   
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer133) Which of the following cannot reduce Fehling solution?
  A)
  \[\text{HCOOH}\]    
  done clear
  B)
  \[\text{ }\!\!~\!\!\text{ }{{\text{H}}_{\text{3}}}\text{CCOOH}\]
  done clear
  C)
  \[\text{HCHO}\]     
  done clear
  D)
  \[~{{H}_{3}}CCHO\]
  done clear
  View Answer play_arrow

• question_answer134) Absolute alcohol is prepared by
  A)
   vacuum distillation
  done clear
  B)
   azeotropic distillation
  done clear
  C)
   steam distillation
  done clear
  D)
   none of the above
  done clear
  View Answer play_arrow

• question_answer135) Which of the following compounds is resistant to nucleophilic attack by hydroxyl ion?
  A)
   Methylacetate
  done clear
  B)
   Acetonitrile
  done clear
  C)
   Acetamide  
  done clear
  D)
   Diethyl ether
  done clear
  View Answer play_arrow

• question_answer136) Hydrogenation of benzoyl chloride in presence of Pd on\[\text{BaS}{{\text{O}}_{\text{4}}}\]gives
  A)
   benzyl alcohol
  done clear
  B)
   benzaldehyde
  done clear
  C)
   benzoicacid
  done clear
  D)
   phenol
  done clear
  View Answer play_arrow

• question_answer137) \[Ph-C\equiv C-C{{H}_{3}}\xrightarrow{H{{g}^{2+}}/{{H}^{+}}}A\]The product A is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer138) Ethyl amine reacts with nitrous acid to form
  A)
   \[{{C}_{2}}{{H}_{5}}OH\]
  done clear
  B)
   \[{{C}_{2}}{{H}_{5}}OH,{{N}_{2}},{{H}_{2}}O\]
  done clear
  C)
   \[{{C}_{2}}{{H}_{5}}N_{2}^{+}C{{l}^{-}}\]
  done clear
  D)
   \[{{C}_{2}}{{H}_{5}}NHOH,N{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer139) Rice is deficient in
  A)
   lysine         
  done clear
  B)
   alanine
  done clear
  C)
   glycine       
  done clear
  D)
   leucine
  done clear
  View Answer play_arrow

• question_answer140) Mutarotation does not occur in
  A)
   sucrose       
  done clear
  B)
   D-glucose
  done clear
  C)
   L-glucose     
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer141) Aldehyde which is formed during photo synthesis of plants is
  A)
   methanol
  done clear
  B)
   acetaldehyde
  done clear
  C)
   propanal
  done clear
  D)
   phenylmethanal
  done clear
  View Answer play_arrow

• question_answer142) Coupling of diazonium salts of following takes place in the order
  A)
   \[IV<II<III<I\]
  done clear
  B)
   \[IV>III<II<I\]
  done clear
  C)
   \[II<IV<I<III\]
  done clear
  D)
   \[I<II<III<IV\]
  done clear
  View Answer play_arrow

• question_answer143) Which is decreasing order of strength of bases? \[\bar{O}H,\bar{N}{{H}_{2}},HC\equiv {{C}^{-}}\]and \[C{{H}_{3}}CH_{2}^{-}\]
  A)
   \[{{H}_{3}}CCH_{2}^{-}>NH_{2}^{-}>HC\equiv {{C}^{-}}>O{{H}^{-}}\]
  done clear
  B)
   \[HC\equiv {{C}^{-}}>C{{H}_{3}}CH_{2}^{-}>NH_{2}^{-}>O{{H}^{-}}\]
  done clear
  C)
   \[O{{H}^{-}}>NH_{2}^{-}>C{{H}^{-}}>{{H}_{3}}CCH_{2}^{-}\]
  done clear
  D)
   \[NH_{2}^{-}>HC\equiv {{C}^{-}}>O{{H}^{-}}>{{H}_{3}}CCH_{2}^{-}\]
  done clear
  View Answer play_arrow

• question_answer144) The reagent that reacts with nitromethane to form methyl hydroxylamine is            
  A)
   \[Zn/HCl\]
  done clear
  B)
  \[Zn/N{{H}_{4}}Cl\]
  done clear
  C)
   \[Zn/NaOH\]
  done clear
  D)
   \[Sn/HCl\]
  done clear
  View Answer play_arrow

• question_answer145) Which is most basic?                   
  A)
   \[{{C}_{6}}{{H}_{5}}N{{H}_{2}}\]
  done clear
  B)
  \[({{C}_{6}}{{H}_{5}}N{{H}_{2}})\]
  done clear
  C)
   \[C{{H}_{3}}N{{H}_{2}}\]
  done clear
  D)
   \[{{(C{{H}_{3}})}_{2}}NH\]
  done clear
  View Answer play_arrow

• question_answer146) For d-electron, the orbital angular momentum is
  A)
  \[\frac{\sqrt{6}h}{2\pi }\]
  done clear
  B)
   \[\frac{\sqrt{2}h}{2\pi }\]
  done clear
  C)
   \[\frac{h}{2\pi }\]
  done clear
  D)
   \[\frac{2h}{\pi }\]
  done clear
  View Answer play_arrow

• question_answer147) Two nodal planes are present in
  A)
  \[{{\pi }^{*}}2{{p}_{x}}\]
  done clear
  B)
   \[\sigma 2{{p}_{z}}\]
  done clear
  C)
   \[\pi 2{{p}_{x}}\]
  done clear
  D)
  \[\pi 2{{p}_{y}}\]
  done clear
  View Answer play_arrow

• question_answer148) One gram mole of a gas at NTP occupies 22.4 L. This fact was derived from
  A)
   law of gaseous volumes
  done clear
  B)
   Avogadro's hypothesis
  done clear
  C)
   Berzelius hypothesis
  done clear
  D)
   Dalton's atomic theory
  done clear
  View Answer play_arrow

• question_answer149) At\[\text{90}{{\,}^{\text{o}}}\text{C,}\] pure water has\[[{{H}_{3}}{{O}^{+}}]={{10}^{-6}}\,mol/L.\] The value of \[{{K}_{w}}\]at \[\text{90}{{\,}^{\text{o}}}\text{C}\]is
  A)
  \[{{10}^{-6}}\]         
  done clear
  B)
  \[{{10}^{-8}}\]
  done clear
  C)
  \[{{10}^{-12}}\]         
  done clear
  D)
  \[{{10}^{-14}}\]
  done clear
  View Answer play_arrow

• question_answer150) The pH of a buffer solution of \[\text{0}\text{.1}\,\text{M}\,\text{N}{{\text{H}}_{\text{4}}}\text{OH}\]\[\text{ }\!\![\!\!\text{ p}{{\text{K}}_{b}}\text{=5}\text{.0 }\!\!]\!\!\text{ }\]and \[\text{0}\text{.01}\,\text{M}\,\text{N}{{\text{H}}_{\text{4}}}\text{Cl}\]is
  A)
   1
  done clear
  B)
   4
  done clear
  C)
   10
  done clear
  D)
   13
  done clear
  View Answer play_arrow

• question_answer151) If a point \[(a{{t}^{2}},\,\,2at)\] be the extremity of a focal Chord of parabola \[{{y}^{2}}=4ax,\] then the length of the focal chord is
  A)
   \[a{{\left( t+\frac{1}{t} \right)}^{2}}\]
  done clear
  B)
   \[a{{\left( t+\frac{2}{t} \right)}^{3}}\]
  done clear
  C)
   \[a{{\left( t+\frac{1}{t} \right)}^{3}}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer152) In a test, an examines either guesses or copies or knows the answer to a multiple choice questions with four choices. The probability that he makes a guess; is \[\frac{1}{3}\] and the probability that he copies the answer is \[\frac{1}{6}\].The probability that his answer is correct given that he copied it is\[\frac{1}{8}\]. The probability that his answer is correct, given that he guessed it is\[\frac{1}{4}\]. The probability that they knew the answer to the questions given that he correctly answered is
  A)
  \[\frac{24}{31}\]
  done clear
  B)
  \[\frac{31}{24}\]
  done clear
  C)
  \[\frac{24}{29}\]
  done clear
  D)
  \[\frac{29}{24}\]
  done clear
  View Answer play_arrow

• question_answer153) Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is equal to
  A)
  \[\frac{1}{2}\]
  done clear
  B)
  \[\frac{1}{5}\]
  done clear
  C)
  \[\frac{1}{10}\]
  done clear
  D)
  \[\frac{1}{20}\]
  done clear
  View Answer play_arrow

• question_answer154) The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\,\cos \left( \frac{x}{2} \right)\cos \left( \frac{x}{4} \right)\,\cos \left( \frac{x}{8} \right).....\,\cos \left( \frac{x}{{{2}^{n}}} \right)\]Is
  A)
   \[\frac{x}{\sin \,x}\]
  done clear
  B)
   \[\frac{x}{\cos \,x}\]
  done clear
  C)
   \[\frac{(\sin x)}{x}\]
  done clear
  D)
   \[\frac{(cosx)}{x}\]
  done clear
  View Answer play_arrow

• question_answer155) The order and degree of the differential equation         \[y=\frac{dy}{dx}x+\sqrt{{{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}}\] is
  A)
   \[3,1\]
  done clear
  B)
   \[1,2\]
  done clear
  C)
   \[2,1\]
  done clear
  D)
   \[1,3\]
  done clear
  View Answer play_arrow

• question_answer156) \[y=a{{e}^{mx}}+b{{e}^{-mx}}\] satisfies which of the following differential equations
  A)
   \[\frac{dy}{dx}-my=0\]
  done clear
  B)
   \[\frac{dy}{dx}+my=0\]
  done clear
  C)
   \[\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{m}^{2}}y=0\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer157) If \[f(x)={{\left( \frac{x}{1-|x|} \right)}^{1/2002}},\] then \[{{D}_{f}}\] is
  A)
   \[R-[-1,\,1]\]
  done clear
  B)
   \[\{-\infty ,1\}\]
  done clear
  C)
   \[\{-\infty ,-1\}\cup (0,1)\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer158) If \[\vec{a},\vec{b},\vec{c}\] are the unit vectors such that \[\vec{a}\] is perpendicular to the plane \[\vec{b},\vec{c}\] and the angle between \[\vec{b},\vec{c}\] is \[\frac{\pi }{3},\] then \[|\vec{a}+\vec{b}+\vec{c}|\]is equal to
  A)
   \[0\]
  done clear
  B)
   \[\pm 1\]
  done clear
  C)
   \[\pm \,2\]
  done clear
  D)
   \[\pm \,3\]
  done clear
  View Answer play_arrow

• question_answer159) \[\int_{\alpha }^{\beta }{\sqrt{\frac{x-\alpha }{\beta -x}}}\,dx\] is equal to
  A)
   \[\frac{\pi }{2}(\alpha -\beta )\]
  done clear
  B)
   \[\frac{\pi }{2}(\beta -\alpha )\]
  done clear
  C)
   \[\pi (\alpha -\beta )\]
  done clear
  D)
   \[\pi (\beta -\alpha )\]
  done clear
  View Answer play_arrow

• question_answer160) If \[{{a}_{1}},{{a}_{2}}{{a}_{3}},{{a}_{4}},{{a}_{5}},{{a}_{6}}\] are in, AP with common difference \[d\ne 0,\] .then the system of equations \[{{a}_{1}}x+{{a}_{2}}y={{a}_{3}},{{a}_{4}}x+{{a}_{5}}y={{a}_{6}}\]has
  A)
   infinite number of solutions
  done clear
  B)
   unique solution
  done clear
  C)
   no solution
  done clear
  D)
   cannot say anything
  done clear
  View Answer play_arrow

• question_answer161) If the value of \[{{\int_{0}^{\pi }{\left( \frac{x}{1+\sin \,x} \right)}}^{2}}dx=1,\] then the      value of the integral \[\int_{0}^{\pi }{\left[ \frac{2{{x}^{2}}\,{{\cos }^{2}}\,x/2}{{{(1+\sin \,x)}^{2}}} \right]}dx\] is equal to
  A)
   \[1+\pi (2-\pi )\]
  done clear
  B)
   \[1-\pi (\pi -2)\]
  done clear
  C)
   \[1+\pi (2+\pi )\]
  done clear
  D)
   \[1-\pi (2+\pi )\]
  done clear
  View Answer play_arrow

• question_answer162) \[\int_{-1}^{1}{(x-[x])\,dx}\] is equal to
  A)
   \[0\]              
  done clear
  B)
   \[1\]
  done clear
  C)
   \[2\]               
  done clear
  D)
   \[3\]
  done clear
  View Answer play_arrow

• question_answer163) If the normal at ?t? on the parabola \[{{y}^{2}}=4ax\] meets the parabola again at t', then
  A)
   \[t'=-t-\frac{2}{t}\]
  done clear
  B)
   \[t'=-t+\frac{2}{t}\]
  done clear
  C)
   \[t'=-t'-\frac{2}{t'}\]
  done clear
  D)
   \[t'+t'+2tt'\]
  done clear
  View Answer play_arrow

• question_answer164) The complex numbers having positive argument and satisfying \[|2-3i|\,\,<\] is
  A)
   \[\frac{12}{5}+\frac{16}{5}\,i\]
  done clear
  B)
   \[\frac{4}{5}+\frac{6}{5}\,i\]
  done clear
  C)
   \[\frac{6}{5}-\frac{5}{2}\,i\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer165) The value of \[\int_{0}^{\pi /2}{\log \,\,\tan \,x\,\,dx}\] is
  A)
   \[\frac{\pi }{8}\]
  done clear
  B)
   \[\infty \]
  done clear
  C)
   \[1\]
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer166) Given that. \[\tan \,\,A\] and \[\tan \,\,B\] are the roots of \[{{x}^{2}}-px+q=0,\] then the value of \[{{\sin }^{2}}(A+B)\]is
  A)
   \[\frac{{{p}^{2}}}{\{{{p}^{2}}+{{(1-q)}^{2}}\}}\]
  done clear
  B)
   \[\frac{{{q}^{2}}}{({{p}^{2}}+{{q}^{2}})}\]
  done clear
  C)
   \[\frac{{{q}^{2}}}{\{{{p}^{2}}-(1-{{q}^{2}})\}}\]
  done clear
  D)
   \[\frac{{{p}^{2}}}{({{p}^{2}}+{{q}^{2}})}\]
  done clear
  View Answer play_arrow

• question_answer167) The least positive non-integral solution of \[\sin \,\,\pi ({{x}^{2}}+x)-\sin \,\pi {{x}^{2}}=0\]is                   
  A)
   rational
  done clear
  B)
   irrational of the from \[\sqrt{P}\]
  done clear
  C)
   irrational of the from \[\frac{\sqrt{P}-1}{4}\]when p is an odd integer
  done clear
  D)
   irrational of the from \[\frac{\sqrt{P}+1}{4}\] where p is an even integer
  done clear
  View Answer play_arrow

• question_answer168) The general solution of \[\frac{dy}{dx}=\frac{2x-y}{x+2y}\] is
  A)
   \[{{x}^{2}}-xy+{{y}^{2}}=c\]
  done clear
  B)
   \[{{x}^{2}}-xy-{{y}^{2}}=c\]
  done clear
  C)
   \[{{x}^{2}}+xy-{{y}^{2}}=c\]
  done clear
  D)
   \[{{x}^{2}}+x{{y}^{2}}=c\]
  done clear
  View Answer play_arrow

• question_answer169) A function \[y=f(x)\] has second order derivative \[f''(x)=6(x-1)\]. If its graph passes through the point \[(2,1)\] and at that point the tangent to the graph is \[y=3x-5,\] then the function is
  A)
   \[{{(x-1)}^{2}}\]      
  done clear
  B)
   \[{{(x-1)}^{3}}\]
  done clear
  C)
   \[{{(x+1)}^{3}}\]
  done clear
  D)
   \[{{(x+1)}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer170) If   \[f(x)\]  is   a   function   satisfying \[f\left( \frac{1}{x} \right)+{{x}^{2}}f(x)=0\]for all non-zero x, then \[\int_{\sin \,\theta }^{\text{cosec }\theta }{f(x)\,\,dx}\]is equal to
  A)
  \[0\]            
  done clear
  B)
  \[1\]
  done clear
  C)
  \[2\]            
  done clear
  D)
  \[3\]
  done clear
  View Answer play_arrow

• question_answer171) The area bounded by the curves \[{{x}^{2}}+{{y}^{2}}=25,\] \[4y=|4-{{x}^{2}}|\] and \[x=0\] above the x- axis is
  A)
   \[24\,\,{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
  done clear
  B)
   \[25\,\,{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
  done clear
  C)
   \[2+\frac{25}{2}{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer172) The curve in which the sub tangent is always bisected at the origin is
  A)
   A parabola     
  done clear
  B)
   A circle
  done clear
  C)
   A hyperbola    
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer173) The value of \[\int_{0}^{\pi /2}{{{\sin }^{8}}\,x\,\,dx}\] is
  A)
   \[\frac{105\,\pi }{32(4!)}\]
  done clear
  B)
   \[\frac{105\,\pi }{14\,(4!)}\]
  done clear
  C)
   \[\frac{105\,}{16\pi \,(4!)}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer174) A particle is moving in a straight line such that the distance described ?s' and the time taken ?t? are given by \[t=a{{s}^{2}}+bs+c,\,\,\,a>0.\]If v is the velocity of the particle at any time t, then acceleration is
  A)
  \[-2av\]
  done clear
  B)
   \[-2av\]
  done clear
  C)
   \[-2av\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer175) If the vectors \[\vec{a}=(c\,\,{{\log }_{2}}\,x)\,\hat{i}-6\hat{j}+3\hat{k}\] and \[\vec{b}=({{\log }_{2}}x)\hat{i}+2\hat{j}+(2c\,{{\log }_{2}}\,x)\hat{k}\] make an obtuse angle for any \[x\,\in \,(0,\infty ),\] then the interval of which 'c? belongs
  A)
   \[\left( \frac{4}{3},0 \right)\]
  done clear
  B)
   \[\left( -\frac{4}{3},0 \right)\]
  done clear
  C)
   \[\left( \frac{3}{4},0 \right)\]
  done clear
  D)
   \[\left( -\frac{3}{4},0 \right)\]
  done clear
  View Answer play_arrow

• question_answer176) Two forces of magnitude 5 and 3 units acting in the directions \[6\hat{i}+2\hat{j}+3\hat{k}\]and \[3\hat{i}-2\hat{j}+6\hat{k}\] respectively act on a particle which is displaced from the point \[(2,2,\,-1)\] to \[(4,3,1)\]. The work done by the forces is
  A)
   \[\frac{149}{7}\]
  done clear
  B)
   \[\frac{148}{6}\]
  done clear
  C)
   \[\frac{148}{7}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer177) The image of the point \[P(1,3,4)\] in the plane \[2x-y+z+3=0\] is
  A)
   \[(3,\,5,\,-2)\]
  done clear
  B)
   \[(-3,\,5,2)\]
  done clear
  C)
   \[(3,-\,5,2)\]
  done clear
  D)
   \[(3,\,5,2)\]
  done clear
  View Answer play_arrow

• question_answer178) If E and F are two events with \[P(E)\le P(F)>0,\]then                              
  A)
   occurrence of \[E\Rightarrow \]occurrence of F
  done clear
  B)
   Occurrence of \[F\Rightarrow \]occurrence of£
  done clear
  C)
   Non-occurrence of \[E\Rightarrow \]non-occurrence of F
  done clear
  D)
   None of the above implications hold
  done clear
  View Answer play_arrow

• question_answer179) If the normal to the parabola \[{{x}^{2}}=-4ay\] at the points \[({{x}_{1}},\,{{y}_{1}}),\,({{x}_{2}},{{y}_{2}})\] and \[({{x}_{3}},{{y}_{3}})\] are concurrent, then
  A)
   \[{{y}_{1}}+{{y}_{2}}+{{y}_{3}}=0\]
  done clear
  B)
   \[{{x}_{1}}{{x}_{2}}+{{x}_{2}}{{x}_{2}}+{{x}_{3}}{{x}_{1}}=0\]
  done clear
  C)
   \[{{x}_{1}}+{{x}_{2}}+{{x}_{3}}=0\]
  done clear
  D)
   \[{{x}_{1}}{{y}_{1}}+{{x}_{2}}{{y}_{2}}+{{x}_{3}}{{y}_{3}}=0\]
  done clear
  View Answer play_arrow

• question_answer180) If the sum of n terms of the series \[1+\frac{4}{5}+\frac{7}{{{5}^{2}}}+\frac{10}{{{5}^{3}}}+.....\] is \[l+\frac{15}{16}\left( 1-\frac{1}{{{5}^{n-1}}} \right)-\frac{(3n-2)}{4({{5}^{n-1}})},\] then is                             
  A)
   \[\frac{4}{5}\]               
  done clear
  B)
   \[\frac{5}{4}\]
  done clear
  C)
   \[\frac{6}{5}\]
  done clear
  D)
   \[\frac{5}{6}\]
  done clear
  View Answer play_arrow

• question_answer181) It the sides of a triangle are in GP and the largest angle is twice the smallest angle, then the common ratio which is greater than one lies in the interval
  A)
   \[(1,\,\sqrt{3})\]
  done clear
  B)
   \[(1,\,\sqrt{2})\]
  done clear
  C)
   \[\left( 1,\frac{\sqrt{5}+1}{2} \right)\]
  done clear
  D)
   None of these  
  done clear
  View Answer play_arrow

• question_answer182) If \[f(x)\] is a differentiable function, then \[\underset{x\to a}{\mathop{\lim }}\,\frac{af\,(x)-x\,f(a)}{x-a}\] is equal to
  A)
   \[af'\,(a)-f(a)\]
  done clear
  B)
   \[af\,\,(a)+f'(a)\]  
  done clear
  C)
   \[af'\,(a)+f(a)\]
  done clear
  D)
   \[af\,(a)-f'(a)\]
  done clear
  View Answer play_arrow

• question_answer183) The locus represented by the equation \[|z-1|=|z-i|\] is
  A)
   a circle of radius 1
  done clear
  B)
   an ellipse with foci at 1 and \[-i\]
  done clear
  C)
   a line through the origin
  done clear
  D)
   a circle on the line joining 1 and \[-i\] as diameter
  done clear
  View Answer play_arrow

• question_answer184) The rank of the matrix \[\left| \begin{matrix}    4 & 2 & (1-x)  \\    5 & k & 1  \\    6 & 3 & (1+x)  \\ \end{matrix} \right|\] is 2, then
  A)
   \[k=\frac{5}{2},\,x=\frac{1}{5}\]   
  done clear
  B)
   \[k=\frac{5}{2},\,x\ne \frac{1}{5}\]
  done clear
  C)
   \[k=\frac{1}{5},\,x=\frac{5}{2}\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer185) The largest interval lying in \[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\] n in which the function \[f(x)={{3}^{-{{x}^{2}}}}+{{\cos }^{-1}}\left( \frac{x}{2}-1 \right)+\log \,\,\cos \,x\]is defined as
  A)
   \[[0,\pi ]\]        
  done clear
  B)
   \[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]\]
  done clear
  C)
   \[\left[ 0,\frac{\pi }{2} \right)\]      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer186) If a and B are two fixed points, then the locus of a point which moves in such a way that the angle APB is a right angle is
  A)
   a circle        
  done clear
  B)
   an ellipse
  done clear
  C)
   a parabola     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer187) Equation of the circle which of the mirror image of the circle \[{{x}^{2}}+{{y}^{2}}-2x=0\]in the line \[x+y=2\]is
  A)
   \[{{x}^{2}}+{{y}^{2}}-2x+4y+3=0\]
  done clear
  B)
   \[2({{x}^{2}}+{{y}^{2}})+x+y+1=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-4x-2y+4=0\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer188) Let \[y=p+q\]where p varies directly as x and q varies inversely as\[{{x}^{2}}\]. If \[y=19\]when \[x=2\] or 3, then y in terms of x is
  A)
        \[36x+\frac{5}{{{x}^{2}}}\]     
  done clear
  B)
   \[\frac{5}{x}\,36{{x}^{2}}\]
  done clear
  C)
   \[5x+\frac{36}{{{x}^{2}}}\]      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer189) Seven digits from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in a random order. The probability that these seven digit number is divisible by 9, is
  A)
   \[\frac{2}{9}\]              
  done clear
  B)
   \[\frac{1}{5}\]
  done clear
  C)
   \[\frac{1}{3}\]               
  done clear
  D)
   \[\frac{1}{9}\]
  done clear
  View Answer play_arrow

• question_answer190) The orthocenter of a triangle formed by the lines \[x+y=1,\,\,2x+3y=6\]and \[4x-y+4=0\] lies in the
  A)
   Ist  quadrant   
  done clear
  B)
   IInd  quadrant
  done clear
  C)
   IIIrd quadrant  
  done clear
  D)
   IVth quadrant
  done clear
  View Answer play_arrow

• question_answer191) If a circle and a parabola intersect at four points, then the y am of the ordinates is equal to
  A)
   AM of radius is of the circle and latusrectum of the par abola
  done clear
  B)
   GM of the radius and latusrectum
  done clear
  C)
   HM of the radius and latusrectum
  done clear
  D)
   Zero
  done clear
  View Answer play_arrow

• question_answer192) In \[\Delta \,ABC\] if \[a=3,\,\,b=4,\,c=5,\] then the value of sin 2B s
  A)
   \[\frac{4}{5}\]
  done clear
  B)
   \[\frac{3}{20}\]
  done clear
  C)
    \[\frac{24}{25}\]
  done clear
  D)
   \[\frac{1}{50}\]
  done clear
  View Answer play_arrow

• question_answer193) The equation of the circle of radius 5 in the first quadrant which touches x-axis and the line \[4y=3x\]is
  A)
   \[{{x}^{2}}+{{y}^{2}}-24x-y-25=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}-30x-10y+225=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-16x-18y+64=0\]
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}-20x-12y+144=0\]
  done clear
  View Answer play_arrow

• question_answer194) The line \[lx+my+n=0\] is a normal to the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\]
  A)
   \[\frac{{{a}^{2}}}{{{l}^{2}}}+\frac{{{b}^{2}}}{{{m}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
  done clear
  B)
   \[\frac{{{a}^{2}}}{{{m}^{2}}}+\frac{{{b}^{2}}}{{{l}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
  done clear
  C)
   \[{{a}^{2}}{{l}^{2}}+{{b}^{2}}{{m}^{2}}={{({{a}^{2}}-{{b}^{2}})}^{2}}{{n}^{2}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer195) The equation \[\left| \sqrt{{{x}^{2}}+{{(y-1)}^{2}}}-\sqrt{{{x}^{2}}+{{(y+1)}^{2}}} \right|=k\]will represent a hyperbola for
  A)
   \[k\in (0,2)\]      
  done clear
  B)
   \[k\in (0,1)\]
  done clear
  C)
   \[k\in (1,\infty )\]
  done clear
  D)
   \[k\in R'\]
  done clear
  View Answer play_arrow

• question_answer196) Two forces    \[{{\vec{F}}_{1}}=3\hat{i}-2\hat{j}+\hat{k}\]  and \[{{\vec{F}}_{2}}=\hat{i}-3\hat{j}+5\hat{k}\] acting on a particle at A, move to .6. The work done if the position vector of \[\vec{A}\] and \[\vec{B}\]are \[-2\hat{i}+5\hat{k}\]and \[-3\hat{i}-7\hat{j}+2\hat{k}\]is
  A)
   \[25\]            
  done clear
  B)
   \[13\]
  done clear
  C)
   \[26\]           
  done clear
  D)
   \[28\]
  done clear
  View Answer play_arrow

• question_answer197) If the three angles' of a quadrilateral are \[{{60}^{o}},\] \[{{80}^{o}}\] and \[\frac{5\pi }{6},\]then the fourth angle is
  A)
   \[{{70}^{o}}\]
  done clear
  B)
   \[{{79}^{o}}\]
  done clear
  C)
   \[{{80}^{o}}\]
  done clear
  D)
   \[{{81}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer198) Which one is not periodic
  A)
   \[|\sin \,3x|+{{\sin }^{2}}\,x\]
  done clear
  B)
   \[\cos \,\,\sqrt{x}\,+{{\cos }^{2}}\,x\]
  done clear
  C)
   \[\cos \,4x+{{\tan }^{2}}x\]
  done clear
  D)
   \[{{\cos }^{2}}x+\sin \,x\]
  done clear
  View Answer play_arrow

• question_answer199) Let R be the relation on the set R of all real  numbers defined by aRb if \[|a-b|\le 1,\]then R is
  A)
   Reflexive and symmetric
  done clear
  B)
   Symmetric only
  done clear
  C)
   Transitive only
  done clear
  D)
   Anti symmetric only
  done clear
  View Answer play_arrow

• question_answer200) The expression \[(1+\tan \,x+{{\tan }^{2}}x)\,\,(1-\cot \,x+{{\cot }^{2}}x)\] has the positive values for x, given by
  A)
   \[0\le x\le \frac{\pi }{2}\]    
  done clear
  B)
   \[0\le x\le \pi \]
  done clear
  C)
   For all \[x\in R\]                         
  done clear
  D)
   \[x\ge 0\]
  done clear
  View Answer play_arrow

• question_answer201) The equation of a circle with origin as a centre and passing through an equilateral triangle whose median is of length 3a, is
  A)
   \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\]
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}={{d}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer202) The point on the curve \[3{{x}^{2}}-4{{y}^{2}}=72\]which is nearest to the line \[3x+2y-1=0,\] is
  A)
   \[(6,3)\]        
  done clear
  B)
   \[(6,-3)\]
  done clear
  C)
   \[(6,-6)\]         
  done clear
  D)
   \[(6,5)\]
  done clear
  View Answer play_arrow

• question_answer203) A circle is inscribed in a equilateral triangle of side a. The area of the circle is
  A)
   \[3\pi {{a}^{2}}\] sq unit    
  done clear
  B)
   \[2{{a}^{2}}\] sq unit
  done clear
  C)
   \[{{a}^{2}}\]sq unit      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer204) If a, b, c are distinct positive real numbers and \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1,\]then \[3{{({{a}^{2}}{{b}^{2}}{{c}^{2}})}^{1/3}}\] is
  A)
   Less than 1                              
  done clear
  B)
   Equal to 1
  done clear
  C)
   Greater than 1
  done clear
  D)
   any real number
  done clear
  View Answer play_arrow

• question_answer205) If \[\alpha ,\beta ,\gamma ,\delta \] are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity k, then the value of \[4\,\sin \frac{\alpha }{2}+3\sin \frac{\beta }{2}+2\sin \frac{\gamma }{2}+\sin \frac{\delta }{2}\]is equal to
  A)
   \[2\sqrt{1-k}\]
  done clear
  B)
   \[2\sqrt{1-k}\]
  done clear
  C)
   \[\frac{\sqrt{1+k}}{2}\] 
  done clear
  D)
   \[\sqrt{1+k}\]
  done clear
  View Answer play_arrow

• question_answer206) If \[x+9\] is a root of \[\left| \begin{matrix}    x & 3 & 7  \\    2 & x & 2  \\    7 & 6 & x  \\ \end{matrix} \right|=0,\]then other  roots are                                
  A)
   \[-9,\,2,\,7\]      
  done clear
  B)
   \[9,\,2,\,7\]             
  done clear
  C)
   \[9,\,2,-\,7\]      
  done clear
  D)
   \[9,-\,2,\,7\]
  done clear
  View Answer play_arrow

• question_answer207) The value of \[\underset{x\to \pi /2}{\mathop{\lim }}\,\frac{\cot \,x-\cos x}{{{(\pi -2x)}^{3}}}\]
  A)
   \[1\]
  done clear
  B)
   \[\frac{1}{16}\]
  done clear
  C)
   \[16\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer208) If the tangent \[P(1,1)\] on \[{{y}^{2}}=x{{(2-x)}^{2}}\] meets  the curve again at Q, then Q is
  A)
   \[(2,2)\]
  done clear
  B)
   \[(-1,-2)\]
  done clear
  C)
   \[\left( \frac{9}{4},\frac{3}{8} \right)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer209) For the equation \[\frac{1}{x+a}-\frac{1}{x+b}=\frac{1}{x+c},\]if the product of the ratio is zero, then the sum of (he roots is
  A)
   \[0\]
  done clear
  B)
   \[\frac{2ab}{b+c}\]
  done clear
  C)
   \[\frac{2ac}{b+c}\]
  done clear
  D)
   \[-\frac{2ac}{b+c}\]
  done clear
  View Answer play_arrow

• question_answer210) If \[n=2002,\] evaluate \[\frac{1}{{{\log }_{2}}n!}+\frac{1}{{{\log }_{3}}n!}+\frac{1}{{{\log }_{4}}n!}+.....+\frac{1}{{{\log }_{2002}}n!}\]
  A)
   \[1\]
  done clear
  B)
   \[2\]
  done clear
  C)
   \[3\]
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer211) A and B are the independent events. The probability that both occur simultaneously is \[\frac{1}{6}\]and the probability that neither occur is \[\frac{1}{3}\]The probability of occurrence of the events A and B
  A)
   \[\frac{1}{2},\frac{3}{2}\]
  done clear
  B)
   \[\frac{1}{2},\frac{1}{3}\]
  done clear
  C)
   not possible    
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer212) A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be hearts. The probability of the missing card to be a heart is
  A)
   \[\frac{50}{11}\]
  done clear
  B)
   \[\frac{51}{11}\]
  done clear
  C)
   \[\frac{11}{50}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer213) \[\int_{0}^{\pi /2}{\frac{{{\sin }^{2}}x}{{{\sin }^{2}}x+{{\cos }^{2}}x}}\] is equal to
  A)
   \[\frac{\pi }{4}\]
  done clear
  B)
   \[2\pi \]
  done clear
  C)
   \[{{\pi }^{2}}\]
  done clear
  D)
   \[\frac{1}{2}{{\pi }^{2}}\]
  done clear
  View Answer play_arrow

• question_answer214) The centre and the radius of the circle \[z\bar{z}+(2+3i)\,\,\bar{z}-2(2-3i)z+12=0\] is
  A)
   \[-(2+3i),\,(1)\] 
  done clear
  B)
   \[(3+2i),(1)\]
  done clear
  C)
   \[(3+6i),(3)\]  
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer215) The weight (in Kilogram) of 15 students are as follows 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36,44, 45, 42, 30. If the weight 44 kg is replaced by 46 kg and \[27\text{ }kg\]is by \[25\text{ }kg,\] then new median is
  A)
   \[32\]           
  done clear
  B)
   \[33\]
  done clear
  C)
   \[34\]           
  done clear
  D)
   \[35\]
  done clear
  View Answer play_arrow

• question_answer216) If \[1,\,{{\log }_{9}}({{3}^{1-x}}+2),{{\log }_{3}}({{4.3}^{x}}-1)\] are in AP, then x equals
  A)
   \[{{\log }_{3}}4\]      
  done clear
  B)
   \[1-{{\log }_{3}}4\]
  done clear
  C)
   \[1-{{\log }_{4}}3\]
  done clear
  D)
   \[{{\log }_{4}}3\]
  done clear
  View Answer play_arrow

• question_answer217) If the roots of the equation \[3{{x}^{2}}-6x+5=0\] are \[\alpha \] and \[\beta ,\] then the equation whose roots are \[\alpha +\beta \]and\[\frac{2}{\alpha +\beta }\]will be
  A)
   \[{{x}^{2}}+3x-1=0\]
  done clear
  B)
   \[{{x}^{2}}+3x-2=0\]
  done clear
  C)
   \[{{x}^{2}}+3x+2=0\]
  done clear
  D)
   \[{{x}^{2}}-3x+2=0\]
  done clear
  View Answer play_arrow

• question_answer218) The equation of the locus of a point equidistant from the points \[({{a}_{1}},\,{{b}_{1}})\] and \[({{a}_{2}},\,{{b}_{2}})\] is \[({{a}_{1}}-{{a}_{2}})x+({{b}_{1}}-{{b}_{2}})y+c=0,\] then the value of c is
  A)
   \[\sqrt{(a_{1}^{2}+b_{1}^{2}+c_{1}^{2})}\]
  done clear
  B)
   \[a_{1}^{2}-b_{1}^{2}-c_{1}^{2}\]
  done clear
  C)
   \[\frac{1}{2}(a_{2}^{2}+b_{2}^{2}-a_{1}^{2}-b_{1}^{2})\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer219) The general solution of the equation  \[{{2}^{\cos \,2x}}+1={{3.2}^{-\sin \,x}}\]is
  A)
   \[n\,\pi \]
  done clear
  B)
   \[n\,\pi -\pi \]
  done clear
  C)
   \[n\,\pi +\pi \]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer220) Let \[0<x<\pi \] and \[y(x)\] be given by \[(1+\sin \,x){{y}^{3}}-(\cos \,x){{y}^{2}}+2(1+\sin \,x)y-2cos\,x=0\] The derivative of y with respect to \[\frac{x}{2}\]at \[x=\frac{\pi }{2}\] is
  A)
   \[-\frac{1}{2}\]            
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   \[-2\]             
  done clear
  D)
   \[2\]
  done clear
  View Answer play_arrow

• question_answer221) The value of \[\int_{0}^{\pi }{\left( \sum\limits_{r=0}^{3}{{{a}_{r}}\,\,{{\cos }^{3-r\,}}x\,{{\sin }^{r}}x} \right)}dx\]depends upon
  A)
   \[{{a}_{1}}\] and \[{{a}_{2}}\]      
  done clear
  B)
   \[{{a}_{0}}\] and \[{{a}_{3}}\]
  done clear
  C)
   \[{{a}_{2}}\] and \[{{a}_{3}}\]       
  done clear
  D)
   \[{{a}_{1}}\] and \[{{a}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer222) If the .function \[f:[1,\,\infty )\to [1,\infty )\] is denned by \[f(x)={{2}^{x(x-1)}},\]then \[{{f}^{-1}}(x)\] is
  A)
   \[{{\left( \frac{1}{2} \right)}^{x(x-1)}}\]
  done clear
  B)
   \[\frac{1}{2}(1+\sqrt{1+4{{\log }_{2}}y})\]
  done clear
  C)
   \[\frac{1}{2}(1-\sqrt{1+4{{\log }_{2}}y})\]
  done clear
  D)
   \[\infty \]
  done clear
  View Answer play_arrow

• question_answer223) If the  roots  of the  given  equation \[(\cos \,\,p-1){{x}^{2}}+(\cos \,p)x+\sin \,p=0\] are real, then
  A)
   \[p\in (-\pi ,0)\]
  done clear
  B)
   \[p\in \left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]
  done clear
  C)
   \[p\in (0,\pi )\]
  done clear
  D)
   \[p\in (0,2\pi )\]
  done clear
  View Answer play_arrow

• question_answer224) The angle of depression of a boat m in a river is \[{{30}^{o}}\] from the top of a tower, \[87\text{ }m\]high and the speed of the boat is\[5.8\text{ }km/h\]. The time taken by the boat to reach at the base of the tower is
  A)
   \[9\,\,\min \]
  done clear
  B)
   \[\frac{9\sqrt{3}}{10}\,\,\min \]
  done clear
  C)
   \[25\,\,\min \]
  done clear
  D)
   \[15\,\,\min \]
  done clear
  View Answer play_arrow

• question_answer225) If \[\alpha =\frac{3}{5},\,\,(0<\alpha ,\pi )\]and \[\cos \beta =\frac{5}{13},\] then \[(\alpha -\beta )\] lies in the quadrants
  A)
   I, II, IV
  done clear
  B)
   I, III, IV
  done clear
  C)
   I, II, III
  done clear
  D)
   I,IV
  done clear
  View Answer play_arrow