Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2002

done JCECE Engineering Solved Paper-2002 Total Questions - 150

• question_answer1) A long spring is stretched by \[2\,\,cm\]. Its potential energy is \[U\]. If the spring is stretched by \[10\,\,cm,\] the potential energy stored in it will be:
  A)
  \[\frac{U}{25}\]                               
  done clear
  B)
  \[\frac{U}{5}\]
  done clear
  C)
  \[3U\]                                  
  done clear
  D)
   \[25U\]
  done clear
  View Answer play_arrow

• question_answer2) The coefficient of restitution e for a perfectly elastic collision is:
  A)
  \[1\]                                     
  done clear
  B)
   zero
  done clear
  C)
   infinite                
  done clear
  D)
   \[-1\]
  done clear
  View Answer play_arrow

• question_answer3) A soap bubble is given negative charge. Then its radius:
  A)
   decreases
  done clear
  B)
   increases
  done clear
  C)
   remains unchanged
  done clear
  D)
    nothing can be said because sufficient information is not available
  done clear
  View Answer play_arrow

• question_answer4) Source of energy in sun is caused by:
  A)
   fusion of heavy nuclei
  done clear
  B)
   fission of heavy nuclei
  done clear
  C)
    fusion of hydrogen nuclei
  done clear
  D)
    fission of hydrogen nuclei
  done clear
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• question_answer5) A particle moves along a circular path under the action of a force. The work done by the force is:
  A)
   positive and non-zero
  done clear
  B)
   negative and non-zero
  done clear
  C)
    zero
  done clear
  D)
    none of the above
  done clear
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• question_answer6) A particle is moving in a circle with uniform speed. It has constant:
  A)
   velocity                              
  done clear
  B)
    acceleration
  done clear
  C)
    kinetic energy                
  done clear
  D)
    displacement
  done clear
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• question_answer7) If\[|\overset{\to }{\mathop{\mathbf{A}}}\,+\overset{\to }{\mathop{\mathbf{B}}}\,|=|\overset{\to }{\mathop{\mathbf{A}}}\,-\overset{\to }{\mathop{\mathbf{B}}}\,|\],\[A\] and \[B\] are finite then:
  A)
   \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is parallel to \[\overset{\to }{\mathop{\mathbf{B}}}\,\]
  done clear
  B)
  \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is anti-parallel to \[\overset{\to }{\mathop{\mathbf{B}}}\,\]
  done clear
  C)
    \[\overset{\to }{\mathop{\mathbf{A}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] are equal in magnitude
  done clear
  D)
    \[\overset{\to }{\mathop{\mathbf{A}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] are mutually perpendicular
  done clear
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• question_answer8) A number of small drops of mercury adiabatically coalesce to form a single drop. The temperature of the drop:
  A)
   increases           
  done clear
  B)
   remains same
  done clear
  C)
    decreases        
  done clear
  D)
    depend on size
  done clear
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• question_answer9) Light waves can be polarised as they are:
  A)
   transverse        
  done clear
  B)
   of high frequency
  done clear
  C)
    longitudinal    
  done clear
  D)
    reflected
  done clear
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• question_answer10) In which process the speed of transfer of heat is maximum?
  A)
   Conduction
  done clear
  B)
   Convection
  done clear
  C)
   Radiation
  done clear
  D)
    In all these heat is transferred with the same speed
  done clear
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• question_answer11) Young's experiment establishes that:
  A)
   light consists of waves
  done clear
  B)
   light consists of particles
  done clear
  C)
    light is neither of particles nor waves
  done clear
  D)
    light consists of particles and waves both
  done clear
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• question_answer12) A heating coil is labelled \[100\,\,W,\,\,\text{ }220\,\,V\]. The coil is cut into two equal pieces and the two pieces are joined in parallel to the same source. The energy now liberated per second is:
  A)
  \[400\,\,J\]                        
  done clear
  B)
  \[25\,\,J\]
  done clear
  C)
  \[50\,\,J\]                                           
  done clear
  D)
  \[200\,\,J\]
  done clear
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• question_answer13) Bending of light rays around the edges of an obstacle is known as:
  A)
   refraction          
  done clear
  B)
   polarization
  done clear
  C)
    diffraction        
  done clear
  D)
    reflection
  done clear
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• question_answer14) A convex lens of focal length \[40\,\,cm\] is in contact with a concave lens of focal length\[25\,\,cm\]. The power of the combination of the two lenses is:
  A)
  \[-1.5\,\,D\]                      
  done clear
  B)
  \[-6.5\,\,D\]
  done clear
  C)
   \[6.5\,\,D\]                       
  done clear
  D)
   \[6.67\,\,D\]
  done clear
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• question_answer15) Particle \[A\] moves in \[S\text{-}N\] direction and particle \[B\] moves in \[W\text{-}E\] direction. Then the .velocity of particle \[A\] with respect to \[B\] is:
  A)
   \[N\text{-}W\] direction             
  done clear
  B)
   \[N\text{-}E\] direction
  done clear
  C)
    \[S\text{-}W\] direction             
  done clear
  D)
    \[S\text{-}E\]direction
  done clear
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• question_answer16) Weightlessness experienced while orbiting the earth in space ships is the result of:
  A)
   inertia                                 
  done clear
  B)
   acceleration
  done clear
  C)
   zero gravity      
  done clear
  D)
    centre of gravity
  done clear
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• question_answer17) If one mole of a monoatomic gas \[(\gamma =5/3)\] is mixed with one mole of a diatomic gas \[(\gamma =7/5)\], the value of \[\gamma \] for the mixture is:
  A)
  \[1.40\]                               
  done clear
  B)
  \[1.50\]
  done clear
  C)
  \[1.53\]                               
  done clear
  D)
    \[3.07\]
  done clear
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• question_answer18) Which of the following statements is wrong?
  A)
   Sound travels in straight line
  done clear
  B)
   Sound travels as waves
  done clear
  C)
   Sound is a form of energy
  done clear
  D)
    Sound travels faster in vacuum than in air
  done clear
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• question_answer19) If momentum of a certain body is increased by \[50%\], then increases in the KE of the body will be:
  A)
  \[25%\]                               
  done clear
  B)
   \[50%\]
  done clear
  C)
   \[100%\]                            
  done clear
  D)
   \[125%\]
  done clear
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• question_answer20) A uniform chain of length \[L\] and mass \[M\] is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If \[g\] is the acceleration due to gravity the work required to pull the hanging pan of the chain on the table is:
  A)
  \[MgL\]                               
  done clear
  B)
   \[\frac{1}{3}MgL\]
  done clear
  C)
   \[\frac{1}{9}MgL\]                         
  done clear
  D)
   \[\frac{1}{18}MgL\]
  done clear
  View Answer play_arrow

• question_answer21) In the arrangement shown in the figure for vertical oscillations of the mass \[m\], the period is:
  A)
  \[T=2\pi \sqrt{\frac{m}{{{k}_{1}}+{{k}_{2}}}}\]
  done clear
  B)
  \[T=2\pi \sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]
  done clear
  C)
   \[T=2\pi \sqrt{\frac{m({{k}_{1}}+{{k}_{2}})}{{{k}_{1}}+{{k}_{2}}}}\]
  done clear
  D)
   \[T=2\pi \sqrt{\frac{mg}{{{k}_{1}}+{{k}_{2}}}}\]
  done clear
  View Answer play_arrow

• question_answer22) A person completes half of its journey with speed vi and rest half with speed \[{{v}_{2}}\]. The average speed of the person is:
  A)
  \[v=\frac{1}{2}({{v}_{1}}+{{v}_{2}})\]     
  done clear
  B)
  \[v=\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
  done clear
  C)
   \[v=\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]                         
  done clear
  D)
   \[v=\sqrt{{{v}_{1}}{{v}_{2}}}\]
  done clear
  View Answer play_arrow

• question_answer23) A particle moves along a straight line such that its displacement at any time \[t\] is given by\[s={{t}^{3}}-3{{t}^{2}}+2m\]. The displacement when the acceleration becomes zero is:
  A)
  \[zero\]                                               
  done clear
  B)
  \[2\,\,m\]
  done clear
  C)
   \[3\,\,m\]                                          
  done clear
  D)
   \[-2\,\,m\]
  done clear
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• question_answer24) \[[M{{L}^{2}}{{T}^{-3}}]\] represents the dimensions of:
  A)
   pressure            
  done clear
  B)
   energy
  done clear
  C)
   power                                 
  done clear
  D)
    force
  done clear
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• question_answer25) The time period of a simple pendulum in a lift descending with constant acceleration \[g\] is:
  A)
  \[T=2\pi \sqrt{\frac{l}{8}}\]                         
  done clear
  B)
   \[T=2\pi \sqrt{\frac{l}{2g}}\]
  done clear
  C)
    zero                                    
  done clear
  D)
    infinite
  done clear
  View Answer play_arrow

• question_answer26) A transverse wave is given by\[y=A\sin 2\pi \left( \frac{t}{T}-\frac{x}{\lambda } \right)\]. The maximum particle, velocity is equal to 4 times the wave velocity, when:
  A)
  \[\lambda =2\pi A\]                       
  done clear
  B)
  \[\lambda =\frac{1}{2}\pi A\]
  done clear
  C)
   \[\lambda =\pi \,\,A\]                  
  done clear
  D)
   \[\lambda =\frac{1}{4}\pi A\]
  done clear
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• question_answer27) A tuning fork gives \[4\] beats with \[50\,\,cm\] length of a sonometer wire. If the length of the wire is shortened by \[1\,\,cm\] the number of beats is still the same. The frequency of the fork is:
  A)
  \[396\,\,Hz\]                     
  done clear
  B)
   \[400\,\,Hz\]
  done clear
  C)
   \[404\,\,Hz\]                    
  done clear
  D)
   \[384\,\,Hz\]
  done clear
  View Answer play_arrow

• question_answer28) Electron volt is a unit of:
  A)
   potential            
  done clear
  B)
   charge
  done clear
  C)
    power                                
  done clear
  D)
    energy
  done clear
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• question_answer29) Light of frequency \[v\] is incident on a certain photoelectric substance with threshold frequency \[{{v}_{0}}\]. The work function for the substance is:
  A)
  \[hv\]                                   
  done clear
  B)
  \[h{{v}_{0}}\]
  done clear
  C)
   \[h(v-{{v}_{0}})\]                           
  done clear
  D)
   \[h(v+{{v}_{0}})\]
  done clear
  View Answer play_arrow

• question_answer30) For principal quantum number \[n=3\] the possible values of orbital quantum number\[l\]are:
  A)
  \[1,\,\,2,\,\,3\]                 
  done clear
  B)
  \[0,\,\,1,\,\,2,\,\,3\]
  done clear
  C)
   \[0,\,\,1,\,\,2\]                
  done clear
  D)
   \[-1,\,\,0,\,\,+1\]
  done clear
  View Answer play_arrow

• question_answer31) Certain radioactive substance reduces to \[25%\] of its value in \[16\] days. Its half-life is:
  A)
   32 days                               
  done clear
  B)
   8 days
  done clear
  C)
    64 days                              
  done clear
  D)
    28 days
  done clear
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• question_answer32) Penetrating power of \[X-\]rays does not depend on:
  A)
   wavelength
  done clear
  B)
   energy
  done clear
  C)
    potential difference
  done clear
  D)
    current in the filament
  done clear
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• question_answer33) The ratio of resistance for forward to reverse bias of \[p-n\] junction is:
  A)
  \[{{10}^{2}}:1\]                
  done clear
  B)
  \[{{10}^{-2}}:1\]
  done clear
  C)
   \[1:{{10}^{-4}}\]                              
  done clear
  D)
   \[1:{{10}^{4}}\]
  done clear
  View Answer play_arrow

• question_answer34) If a current flows through an infinitely long straight wire, the magnetic field produced at a point \[1\,\,m\] away from it, is:
  A)
  \[2\times {{10}^{-3}}T\]               
  done clear
  B)
  \[2\times {{10}^{-1}}T\]
  done clear
  C)
   \[2\times {{10}^{-7}}T\]                              
  done clear
  D)
   \[2\pi \times {{10}^{-6}}T\]
  done clear
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• question_answer35) Two circular discs \[A\] and \[B\] with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?
  A)
   \[A\] and \[B\] have same specific heats
  done clear
  B)
   Specific heat of \[A\] is less
  done clear
  C)
   Specific heat of \[B\] is less
  done clear
  D)
    Nothing can be said
  done clear
  View Answer play_arrow

• question_answer36) When a charged particle, travelling with uniform speed enters a uniform magnetic field perpendicularly then, its kinetic energy:
  A)
   remains constant
  done clear
  B)
   increases
  done clear
  C)
    decreases
  done clear
  D)
    becomes zero
  done clear
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• question_answer37)  A circular coil of radius \[4\,\,cm\] and number of turns \[20\] carries a current of \[3\,\,A\]. It is placed in a magnetic field of \[0.5\,\,T\]. The magnetic dipole moment of the coil is:
  A)
  \[0.60\,\,A{{m}^{2}}\]                   
  done clear
  B)
  \[0.45\,\,A{{m}^{2}}\]
  done clear
  C)
  \[0.30\,\,A{{m}^{2}}\]                   
  done clear
  D)
   \[0.15\,\,A{{m}^{2}}\]
  done clear
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• question_answer38) In a circuit 5% of total current passes through a galvanometer. If resistance of the galvanometer is \[G\], then value of the shunt is:
  A)
  \[19\,\,G\]                         
  done clear
  B)
  \[20\,\,G\]
  done clear
  C)
   \[G/20\]                             
  done clear
  D)
   \[G/19\]
  done clear
  View Answer play_arrow

• question_answer39) In a moving coil galvanometer, deflection \[\phi \] and current \[I\] flowing through it are related by:
  A)
  \[I\propto \tan \phi \]                  
  done clear
  B)
  \[I\propto \phi \]
  done clear
  C)
   \[I\propto {{\phi }^{2}}\]                            
  done clear
  D)
   \[I\propto 1/\phi \]
  done clear
  View Answer play_arrow

• question_answer40) A solenoid of length \[l\] metre has self-inductance \[L\] henry. If number of turns are doubled, its self-inductance:
  A)
   remains same
  done clear
  B)
   becomes \[2L\] henry
  done clear
  C)
    becomes \[4L\] henry
  done clear
  D)
    becomes \[\frac{L}{\sqrt{2}}\] henry
  done clear
  View Answer play_arrow

• question_answer41) The voltage of an AC supply varies with time \[(t)\] as \[V=120\sin \,\,100\pi t\cos \,\,100\pi t\]. The maximum voltage and frequency respectively are:
  A)
  \[120\,\,V,\,\,100\,\,Hz\]
  done clear
  B)
  \[120/\sqrt{2}V,\,\,100\,\,Hz\]
  done clear
  C)
   \[60\,\,V,\,\,200\,\,Hz\]
  done clear
  D)
   \[60\,\,V,\,\,100\,\,Hz\]
  done clear
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• question_answer42) Two point charges of \[+3\mu C\] and \[-3\mu C\] are at a distance\[2\times 10\,\,m\] apart from each other. The electric field at a distance of \[0.6\,\,m\] from the dipole in broadside-on position is:
  A)
  \[150\,\,N{{C}^{-1}}\]                   
  done clear
  B)
  \[250\,\,N{{C}^{-1}}\]
  done clear
  C)
   \[60\,\,N{{C}^{-1}}\]                     
  done clear
  D)
   \[35\,\,N{{C}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer43) Two parallel large thin metal sheets have equal surface charge densities \[(\sigma =26.4\times {{10}^{-12}}C/{{m}^{2}})\] of opposite signs. The electric field between these sheets is:
  A)
  \[1.5\,\,N/C\]                   
  done clear
  B)
  \[1.5\times {{10}^{-10}}N/C\]
  done clear
  C)
   \[3\,\,N/C\]                      
  done clear
  D)
   \[3\times {{10}^{-10}}N/C\]
  done clear
  View Answer play_arrow

• question_answer44) \[N\] identical spherical drops are charged to the same potential \[V\]. They combine to form a bigger drop. The potential of the big drop will be:
  A)
  \[V{{N}^{1/3}}\]                              
  done clear
  B)
   \[V{{N}^{2/3}}\]
  done clear
  C)
   \[V\]                                    
  done clear
  D)
   \[VN\]
  done clear
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• question_answer45) Three condensers of capacitance \[2\mu F\] each are connected in series. The resultant capacitance is:
  A)
  \[6\mu F\]                         
  done clear
  B)
  \[3/2\mu F\]
  done clear
  C)
   \[2/3\mu F\]                    
  done clear
  D)
   \[5\mu F\]
  done clear
  View Answer play_arrow

• question_answer46) Two electric bulbs rated \[{{P}_{1}}\] watt, \[V\] volt and \[{{P}_{2}}\] wan, \[V\] volt are connected in parallel and \[V\] volt supply is applied to them. The total power will be:
  A)
  \[{{P}_{1}}+{{P}_{2}}\]                  
  done clear
  B)
  \[\sqrt{{{P}_{1}}{{P}_{2}}}\]
  done clear
  C)
   \[\frac{{{P}_{1}}{{P}_{2}}}{{{P}_{1}}+{{P}_{2}}}\]                             
  done clear
  D)
   \[\frac{{{P}_{1}}+{{P}_{2}}}{{{P}_{1}}{{P}_{2}}}\]
  done clear
  View Answer play_arrow

• question_answer47) A hole is in the bottom of the tank having water. If total pressure at the bottom is \[3\,\,atm\] \[(1\,\,atm={{10}^{5}}N{{m}^{-2}})\], then velocity of water flowing from hole is:
  A)
  \[\sqrt{400}m{{s}^{-1}}\]                             
  done clear
  B)
   \[\sqrt{600}m{{s}^{-1}}\]
  done clear
  C)
   \[\sqrt{60}m{{s}^{-1}}\]                              
  done clear
  D)
   \[\sqrt{40}m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer48) A fluid of volume \[1\,\,L\] is subjected to a pressure change of\[{{10}^{7}}N/{{m}^{2}}\]. As a result its volume changes by \[0.4\,\,c{{m}^{3}}\]. The bulk modulus of the fluid is:
  A)
  \[2.5\times {{10}^{10}}N/{{m}^{2}}\]     
  done clear
  B)
   \[2.5\times {{10}^{11}}N/{{m}^{2}}\]
  done clear
  C)
   \[2.5\times {{10}^{9}}N/{{m}^{2}}\]      
  done clear
  D)
   \[2.5\times {{10}^{15}}N/{{m}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer49) Stationary waves are so called because in them:
  A)
   the particles of the medium are not disturbed at all
  done clear
  B)
    the particles of the medium do not execute \[SHM\]
  done clear
  C)
    Particles do not correspond flow of energy along the wire
  done clear
  D)
    the interference effect cannot be observed
  done clear
  View Answer play_arrow

• question_answer50) If the degrees of freedom of the molecules of a gas are n, the ratio of its two specific heats\[({{C}_{P}}/{{C}_{V}})\]will be:
  A)
  \[1+\frac{2}{n}\]                             
  done clear
  B)
   \[1-\frac{2}{n}\]
  done clear
  C)
   \[1+\frac{1}{n}\]                            
  done clear
  D)
   \[2-\frac{1}{n}\]
  done clear
  View Answer play_arrow

• question_answer51) In a radioactive decay:
  A)
   \[\alpha \] then \[\beta \] and then \[\gamma \] emitted
  done clear
  B)
   \[\alpha \] or \[\beta \] and then \[\gamma \] emitted
  done clear
  C)
    \[\alpha \] and \[\beta \] and \[\gamma \] emitted simultaneously
  done clear
  D)
    \[\alpha \] and \[\beta \] emitted simultaneously
  done clear
  View Answer play_arrow

• question_answer52) The work function of a metal is \[1\,\,eV\]. If \[3000\overset{\text{o}}{\mathop{\text{A}}}\,\] wavelength light is incident, the value of stopping voltage is:
  A)
  \[1\,\,V\]                                            
  done clear
  B)
  \[3.75\,\,V\]
  done clear
  C)
   \[3.2\,\,V\]                       
  done clear
  D)
   \[0.75\,\,V\]
  done clear
  View Answer play_arrow

• question_answer53) Equation for a real gas is\[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=RT\]where P= pressure, \[V=\] volume, \[a,\,\,b\] and \[R\] constants, dimensional formula of \[a\] is:
  A)
  \[{{L}^{6}}\]                                       
  done clear
  B)
  \[{{M}^{1}}{{L}^{-1}}{{T}^{2}}\]
  done clear
  C)
   \[{{M}^{1}}{{L}^{5}}{{T}^{-2}}\]               
  done clear
  D)
   \[{{L}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer54) A monoatomic ideal gas is compressed to its \[1/8\] volume adiabatically at \[{{17}^{o}}C\]. Temperature after compression will be:
  A)
  \[{{34}^{o}}C\]                 
  done clear
  B)
  \[{{17}^{o}}C\]
  done clear
  C)
   \[{{136}^{o}}C\]                              
  done clear
  D)
   \[{{887}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer55) Which quantity remains constant in adiabatic process?
  A)
   Work                                   
  done clear
  B)
   Heat
  done clear
  C)
    Temperature                  
  done clear
  D)
    All of these
  done clear
  View Answer play_arrow

• question_answer56) Which formula is incorrect for root mean square velocity?
  A)
  \[\sqrt{\frac{3RT}{M}}\]                              
  done clear
  B)
  \[\sqrt{\frac{3PV}{M}}\]
  done clear
  C)
  \[\sqrt{\frac{3d}{P}}\]                  
  done clear
  D)
   \[\sqrt{\frac{2KE}{M}}\]
  done clear
  View Answer play_arrow

• question_answer57) If the number of molecules of hydrogen is double to that of oxygen, at the same temperature, the ratio of their average \[KE\] per molecule is:
  A)
  \[1:1\]                                  
  done clear
  B)
  \[2:3\]
  done clear
  C)
   \[1:2\]                                 
  done clear
  D)
   \[1:4\]
  done clear
  View Answer play_arrow

• question_answer58) A liquid boils at that temperature at which the pressure of saturated vapour is:
  A)
   more than atmospheric pressure
  done clear
  B)
   double to atmospheric pressure
  done clear
  C)
   equal to atmospheric pressure
  done clear
  D)
    less than atmospheric pressure
  done clear
  View Answer play_arrow

• question_answer59) What is the value of \[\frac{PV}{T}\] for a \[1\] mole of gas?
  A)
  \[4.2\times {{10}^{7}}cal/K\]      
  done clear
  B)
  \[4.2cal/K\]
  done clear
  C)
  \[8.31cal/K\]                     
  done clear
  D)
   \[2cal/K\]
  done clear
  View Answer play_arrow

• question_answer60) If a proton totally converts into energy, the value of energy will be:
  A)
  \[190\,\,MeV\]                
  done clear
  B)
  \[931\,\,MeV\]
  done clear
  C)
   \[93.1\,\,MeV\]                              
  done clear
  D)
   \[931\,\,J\]
  done clear
  View Answer play_arrow

• question_answer61) Experimental verification of matter waves was done by:
  A)
   de-Broglie
  done clear
  B)
   Rutherford
  done clear
  C)
   Bohr
  done clear
  D)
    Davisson and Germer
  done clear
  View Answer play_arrow

• question_answer62) In the following nuclear reaction\[_{2}H{{e}^{3}}{{+}_{z}}{{X}^{a}}{{\xrightarrow{{}}}_{z+1}}{{Y}^{a+2}}+Q\]. What is\[Q\]?
  A)
   Neutron                             
  done clear
  B)
   Proton
  done clear
  C)
    Positron                            
  done clear
  D)
    Electron
  done clear
  View Answer play_arrow

• question_answer63) For the reaction\[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\xrightarrow{{}}}_{2}}H{{e}^{4}}+v+\]Energy, what is the required condition?
  A)
   High temperature and pressure
  done clear
  B)
   High temperature and low pressure
  done clear
  C)
   Low temperature and high pressure
  done clear
  D)
    High temperature only
  done clear
  View Answer play_arrow

• question_answer64) Work function of photoelectric metal is\[3.13\,\,eV\]. Threshold frequency is:
  A)
  \[4\times {{10}^{11}}Hz\]                            
  done clear
  B)
  \[5\times {{10}^{14}}Hz\]
  done clear
  C)
  \[8\times {{10}^{15}}Hz\]                            
  done clear
  D)
   \[8\times {{10}^{10}}Hz\]
  done clear
  View Answer play_arrow

• question_answer65) Nitro group of nitrobenzene is:
  A)
   \[o-\]directing
  done clear
  B)
   \[m-\]directing
  done clear
  C)
   \[p-\]directing
  done clear
  D)
    \[o,\]and \[p\] directing
  done clear
  View Answer play_arrow

• question_answer66) In which compound the number of \[{{3}^{o}}\] carbon is maximum:
  A)
   2, 5 dimethyl hexane
  done clear
  B)
   2, 3, 4-trimethyl pentane
  done clear
  C)
   2, 2, 4, 4-tetramethyl pentane
  done clear
  D)
    2, 2, 3-trimethyl pentane
  done clear
  View Answer play_arrow

• question_answer67) The \[pH\] of a solution of concentration few less than\[1\,\,N\,\,NaOH\]:
  A)
   between \[13\] and \[14\]
  done clear
  B)
   between \[12\] and \[13\]
  done clear
  C)
    between \[0\] and \[1\]
  done clear
  D)
    between \[1\] and\[2\]
  done clear
  View Answer play_arrow

• question_answer68) Dichlorocarbene is:
  A)
   a neutral divalent species
  done clear
  B)
   a carbonation
  done clear
  C)
   a carbanion
  done clear
  D)
    a free radical
  done clear
  View Answer play_arrow

• question_answer69) The geometry of the hybrid orbital, which contains \[20%\] \[s-\]character is:
  A)
   octahedral
  done clear
  B)
   tetrahedral
  done clear
  C)
   trigonal bipyramidal
  done clear
  D)
    square planar
  done clear
  View Answer play_arrow

• question_answer70) Which test is not ideal to distinguish 2-butanol and \[1-\]propanol?
  A)
   Hydrogenation                
  done clear
  B)
   Iodoform test
  done clear
  C)
    Lucas test         
  done clear
  D)
    Oxidation test
  done clear
  View Answer play_arrow

• question_answer71) In the reaction of \[C{{H}_{2}}=C{{H}_{2}}\] and \[HBr\] initial addition occurs of:
  A)
   indefinite
  done clear
  B)
   \[{{H}^{+}}+B{{r}^{-}}\] both at one time
  done clear
  C)
   \[{{H}^{+}}\]
  done clear
  D)
    \[B{{r}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer72) The hydrocarbon formed by electrolysis of sodium propionate:
  A)
  \[C{{H}_{3}}CH=C{{H}_{2}}\]      
  done clear
  B)
  \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\]
  done clear
  C)
  \[C{{H}_{3}}C{{H}_{2}}C{{H}_{3}}\]          
  done clear
  D)
   \[C{{H}_{3}}-C{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer73) \[0.1\,\,M\,\,C{{H}_{3}}COOH\] is \[1.3%\] ionised. The dissociation constant of it will be:
  A)
  \[1.69\times {{10}^{-5}}\]                            
  done clear
  B)
  \[1.69\times {{10}^{-6}}\]
  done clear
  C)
  \[1.69\times {{10}^{-4}}\]                            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer74) Which of the following give dye test?
  A)
   Aniline                                
  done clear
  B)
   Methylamine
  done clear
  C)
   Diphenylamine               
  done clear
  D)
    Ethylamine
  done clear
  View Answer play_arrow

• question_answer75) When ethanamide is heated with \[NaOH\] and \[B{{r}_{2}}\] the compound formed is:
  A)
  \[C{{H}_{3}}CON{{H}_{2}}\]                        
  done clear
  B)
  \[{{C}_{2}}{{H}_{5}}NC\]
  done clear
  C)
   \[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\]        
  done clear
  D)
   \[C{{H}_{3}}N{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer76) The chemical formula of potash alum is \[{{K}_{2}}S{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}x{{H}_{2}}O\], here \[x\] is:
  A)
  \[7\]            
  done clear
  B)
  \[12\]
  done clear
  C)
  \[6\]                                     
  done clear
  D)
   \[24\]
  done clear
  View Answer play_arrow

• question_answer77) Brass is an alloy of:
  A)
  \[Cu+Zn+Fe\]   
  done clear
  B)
  \[Cu+Zn+Ni\]
  done clear
  C)
  \[Cu+Zn+Sn\]                   
  done clear
  D)
   \[Cu+Zn\]
  done clear
  View Answer play_arrow

• question_answer78) The electronic configuration of\[F{{e}_{26}}\]is\[[Ar]\]:
  A)
  \[3{{d}^{8}}4{{s}^{2}}\]                
  done clear
  B)
  \[3{{d}^{7}}4{{s}^{2}}\]
  done clear
  C)
   \[3{{d}^{6}}4{{s}^{2}}\]               
  done clear
  D)
   \[3{{d}^{5}}4{{s}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer79) The rate constant of forward reaction is \[2.38\times {{10}^{-4}}\] and the rate constant of backward reaction is \[4.76\times {{10}^{-5}}\]. The equilibrium constant for the reaction will be:
  A)
  \[5\]                                     
  done clear
  B)
  \[5\times {{10}^{-2}}\]
  done clear
  C)
  \[2\times {{10}^{-4}}\]                  
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer80) The element with electronic configuration \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}},\,\,3{{s}^{2}}3{{p}^{6}},\,\,4{{s}^{2}}\] shows same property as:
  A)
  \[Mo\]                                 
  done clear
  B)
  \[Rb\]
  done clear
  C)
   \[Ca\]                                  
  done clear
  D)
   \[Sr\]
  done clear
  View Answer play_arrow

• question_answer81) How much volume of \[0.4\,\,M\,\,NaOH\] is required to neutralise completely \[200\,\,mL\]\[0.5\,\,M\,\,{{H}_{2}}S{{O}_{4}}\] solution?
  A)
  \[600\,\,mL\]                    
  done clear
  B)
  \[300\,\,mL\]
  done clear
  C)
   \[500\,\,mL\]                   
  done clear
  D)
   \[200\,\,mL\]
  done clear
  View Answer play_arrow

• question_answer82) The formula of acetaldehyde semi car b a zone:
  A)
  \[C{{H}_{3}}-CH=NNHCONHC{{H}_{3}}\]
  done clear
  B)
  \[C{{H}_{3}}-CH=N-NHCON{{H}_{2}}\]
  done clear
  C)
  \[C{{H}_{3}}CH=N-NHCON{{H}_{2}}\]
  done clear
  D)
   \[C{{H}_{3}}-CH=N-NHCONH-CON{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer83) One compound reacts with chloroform in presence of \[KOH\] and produces a bad smell (nause odour) compound. The compound formed is:
  A)
  \[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\]         
  done clear
  B)
  \[{{C}_{6}}{{H}_{5}}CN\]
  done clear
  C)
  \[C{{H}_{3}}C{{H}_{2}}NC\]                        
  done clear
  D)
  \[{{C}_{2}}{{H}_{5}}CN\]
  done clear
  View Answer play_arrow

• question_answer84) Phenol, chloroform and caustic potash are heated. The compound formed is:
  A)
   salicylic acid
  done clear
  B)
   \[p-\]hydroxy benzaldehyde
  done clear
  C)
   \[m-\]hydroxy benzaldehyde
  done clear
  D)
    salicylaldehyde
  done clear
  View Answer play_arrow

• question_answer85) \[A+NaOH\xrightarrow{{}}C{{H}_{3}}OH+HCOONa\]is the reaction, compound \[A\] is:
  A)
  \[HCN\]                               
  done clear
  B)
  \[HCHO\]
  done clear
  C)
  \[C{{H}_{3}}CN\]                             
  done clear
  D)
   \[C{{H}_{3}}Cl\]
  done clear
  View Answer play_arrow

• question_answer86) The compound obtained by the reaction of acetic anhydride and ammonia is:
  A)
  \[C{{H}_{3}}COON{{H}_{4}}\]    
  done clear
  B)
  \[C{{H}_{3}}CN\]
  done clear
  C)
  \[C{{H}_{3}}CONHC{{H}_{3}}\]  
  done clear
  D)
  \[C{{H}_{3}}CON{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer87) Metal which does not react with aqueous solution of copper sulphate is:
  A)
  \[Pb\]                                  
  done clear
  B)
  \[Ag\]
  done clear
  C)
  \[Zn\]                                   
  done clear
  D)
   \[Fe\]
  done clear
  View Answer play_arrow

• question_answer88) When aniline react with acetic anhydride the product formed is:
  A)
   \[p-\]aminobenzoic acid
  done clear
  B)
   \[m-\]aminobenzoic acid
  done clear
  C)
   acetanilide
  done clear
  D)
   \[o-\]aminobenzoic acid
  done clear
  View Answer play_arrow

• question_answer89) \[5SO_{2}^{-}+2MnO_{4}^{-}+6{{H}^{+}}\xrightarrow{{}}5SO_{4}^{2-}\]\[+2M{{n}^{2+}}+2{{H}_{2}}O\]the oxidation number of \[Mn\] changes from:
  A)
   \[+14\]to\[+4\]                               
  done clear
  B)
  \[+6\]to\[+2\]
  done clear
  C)
  \[-7\]to\[-2\]                    
  done clear
  D)
  \[+7\]to\[+2\]
  done clear
  View Answer play_arrow

• question_answer90) Which has highest ionisation potential?
  A)
  \[N\]                                    
  done clear
  B)
  \[O\]
  done clear
  C)
  \[{{O}^{+}}\]                                     
  done clear
  D)
   \[Na\]
  done clear
  View Answer play_arrow

• question_answer91) Formic acid and acetic acid may be distinguished by the reaction with:
  A)
   sodium
  done clear
  B)
   2, 4-dinitrophenyl hydrazine
  done clear
  C)
    litmus paper
  done clear
  D)
    Tollen's reagent
  done clear
  View Answer play_arrow

• question_answer92) Maximum melting point is of:
  A)
  \[MgC{{l}_{2}}\]                              
  done clear
  B)
  \[BaC{{l}_{2}}\]
  done clear
  C)
  \[CaC{{l}_{2}}\]                
  done clear
  D)
   \[BeC{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer93) The process requiring the absorption of energy is:
  A)
  \[F\xrightarrow{{}}{{F}^{-}}\]                    
  done clear
  B)
  \[Cl-C{{l}^{-}}\]
  done clear
  C)
  \[O\xrightarrow{{}}{{O}^{2-}}\]                
  done clear
  D)
   \[H-{{H}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer94) The number of coordinate bond in a molecule of\[{{H}_{2}}S{{O}_{4}}\]:
  A)
  \[4\]                                     
  done clear
  B)
  \[3\]
  done clear
  C)
  \[2\]                                     
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer95) Carmelite is:
  A)
  \[KCl\] 
  done clear
  B)
  \[Sn{{l}_{4}}\]
  done clear
  C)
   \[Ge{{l}_{4}}\]                                 
  done clear
  D)
   \[Pb{{I}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer96) A piece of magnesium ribbon was heated to redness in an atmosphere of nitrogen and on cooling water was added. The gas evolved was:
  A)
   ammonia           
  done clear
  B)
   hydrogen
  done clear
  C)
    nitrogen                            
  done clear
  D)
    oxygen
  done clear
  View Answer play_arrow

• question_answer97) Which of the following halides is least stable and doubtful existence?
  A)
  \[C{{l}_{4}}\]                                     
  done clear
  B)
  \[{{K}_{2}}S{{O}_{4}}\]
  done clear
  C)
  \[NiS{{O}_{4}}\]                               
  done clear
  D)
   \[FeS{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer98) Lithopone is a mixture of:
  A)
  \[ZnS\]and\[{{K}_{2}}S{{O}_{4}}\]
  done clear
  B)
   \[CaC{{l}_{2}}\]and\[C{{a}_{3}}{{F}_{2}}\]
  done clear
  C)
   \[Ca{{C}_{2}}\]and\[C{{a}_{3}}{{N}_{2}}\]
  done clear
  D)
   \[ZnS+BaS{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer99) Iodine is liberated from \[KI\] solution when treated with:
  A)
  \[ZnS{{O}_{4}}\]                              
  done clear
  B)
  \[CuS{{O}_{4}}\]
  done clear
  C)
   \[NiS{{O}_{4}}\]                              
  done clear
  D)
   \[FeS{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer100) Chlorine acts as a bleaching agent only in the presence of:
  A)
   dry air                                 
  done clear
  B)
   sun light
  done clear
  C)
    moisture           
  done clear
  D)
    pure oxygen
  done clear
  View Answer play_arrow

• question_answer101) If\[\sin x+{{\sin }^{2}}x=1\], then the value of\[{{\cos }^{12}}x+3{{\cos }^{10}}x+3{{\cos }^{8}}x+{{\cos }^{6}}x\]is equal to:
  A)
  \[0\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[-1\]                                    
  done clear
  D)
   \[2\]
  done clear
  View Answer play_arrow

• question_answer102) The equations\[\frac{2{{\cos }^{2}}x}{2{{\sin }^{2}}x}=\frac{{{x}^{2}}+1}{{{x}^{2}}},\,\,0\le x\le \frac{x}{2}\]has:
  A)
   one real solution
  done clear
  B)
   no real solution
  done clear
  C)
    more than one real solution
  done clear
  D)
    none of the above
  done clear
  View Answer play_arrow

• question_answer103) If\[f(x)=\frac{2x+1}{3x-2}\],then\[fof(2)\]is equal to:
  A)
  \[1\]                                     
  done clear
  B)
  \[3\]
  done clear
  C)
   \[4\]                                    
  done clear
  D)
   \[2\]
  done clear
  View Answer play_arrow

• question_answer104) Which one of the following objective function on the set of real numbers?
  A)
  \[2x-5\]
  done clear
  B)
  \[|x|\]
  done clear
  C)
  \[{{x}^{2}}\]                                      
  done clear
  D)
  \[{{x}^{2}}+1\]
  done clear
  View Answer play_arrow

• question_answer105) Let the function \[f\]be defined by\[f(x)=\frac{2x+1}{1-3x},\] then\[{{f}^{-1}}(x)\]is:
  A)
  \[\frac{x-1}{3x+2}\]                       
  done clear
  B)
  \[\frac{3x+2}{x-1}\]
  done clear
  C)
  \[\frac{x+1}{3x-2}\]                       
  done clear
  D)
  \[\frac{2x+1}{1-3x}\]
  done clear
  View Answer play_arrow

• question_answer106) If\[\sqrt{a+ib}=x+iy\], then possible value of\[\sqrt{a-ib}\]is:
  A)
  \[{{x}^{2}}+{{y}^{2}}\]                  
  done clear
  B)
  \[\sqrt{{{x}^{2}}-{{y}^{2}}}\]
  done clear
  C)
  \[x+iy\]               
  done clear
  D)
  \[x-iy\]
  done clear
  View Answer play_arrow

• question_answer107) If\[{{i}^{2}}=-1\]. Then sum\[i+{{i}^{2}}+{{i}^{3}}+....+{{i}^{1000}}\] term is equal to:
  A)
  \[1\]                                     
  done clear
  B)
  \[-1\]
  done clear
  C)
  \[i\]                                       
  done clear
  D)
  \[0\]
  done clear
  View Answer play_arrow

• question_answer108) If\[\alpha ,\,\,\beta \]are the roots of the equation\[{{x}^{2}}+2x+4=0\], then\[\frac{1}{{{\alpha }^{3}}}+\frac{1}{{{\beta }^{3}}}\]is equal to:
  A)
  \[-1/2\]               
  done clear
  B)
  \[1/4\]
  done clear
  C)
  \[{{3}^{2}}\]                                      
  done clear
  D)
  \[1/{{3}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer109) The least integer \[k\] which makes roots of the equation \[{{x}^{2}}+5x+k=0\] become imaginary, is:
  A)
  \[4\]                                     
  done clear
  B)
  \[5\]
  done clear
  C)
  \[6\]                                     
  done clear
  D)
  \[\frac{25}{4}\]
  done clear
  View Answer play_arrow

• question_answer110) The number of terms of the \[AP\,\,3,\,\,7,\,\,11,\,\,15...\] to be taken so that the sum is\[210,\,\,\,\text{is}:\]
  A)
  \[10\]                                   
  done clear
  B)
  \[12\]
  done clear
  C)
   -1                                          
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer111)  If \[a,\,\,b,\,\,c,\] are respectively the \[pth,\,\,qth,\,\,rth\] terms of an\[AP\], then \[\left[ \begin{matrix}    a & p & 1  \\    b & q & 1  \\    c & r & 1  \\ \end{matrix} \right]\] is equal to:
  A)
  \[1\]                                     
  done clear
  B)
  \[-1\]
  done clear
  C)
  \[0\]                                     
  done clear
  D)
  \[pqr\]
  done clear
  View Answer play_arrow

• question_answer112) The two geometric means between the numbers \[1\] and \[64\] are:
  A)
   \[1\] and \[64\]                               
  done clear
  B)
   \[4\] and \[16\]
  done clear
  C)
   \[2\] and\[16\]                                
  done clear
  D)
   \[8\] and \[16\]
  done clear
  View Answer play_arrow

• question_answer113) If \[n\] and \[r\] are two positive integers such that\[n\ge r\], then\[^{n}{{C}_{r-1}}{{+}^{n}}{{C}_{r}}\]is equal to:
  A)
  \[^{n}{{C}_{r-1}}\]                          
  done clear
  B)
  \[^{n}{{C}_{r}}\]
  done clear
  C)
  \[^{n-1}{{C}_{r}}\]                          
  done clear
  D)
   \[^{n+1}{{C}_{r}}\]
  done clear
  View Answer play_arrow

• question_answer114) The number of ways in which a committee of a \[6\] members can be formed from \[8\] gentlemen and \[4\] ladies so that the committee contains atleast \[3\] ladies, is:
  A)
  \[252\]                                 
  done clear
  B)
  \[672\]
  done clear
  C)
  \[420\]                                 
  done clear
  D)
  \[250\]
  done clear
  View Answer play_arrow

• question_answer115) If \[A\] and \[B\] are \[2\] square matrices of the same order, then\[{{(A-B)}^{2}}\]is:
  A)
  \[{{A}^{2}}-AB-BA+{{B}^{2}}\]
  done clear
  B)
  \[{{A}^{2}}-2BA+{{B}^{2}}\]
  done clear
  C)
  \[{{A}^{2}}-2AB+{{B}^{2}}\]
  done clear
  D)
  \[{{A}^{2}}-{{B}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer116) If \[I\] is a unit matrix of order \[10\], then determinant of \[I\] is equal to:
  A)
  \[10\]                                   
  done clear
  B)
  \[1\]
  done clear
  C)
  \[1/10\]                                               
  done clear
  D)
  \[9\]
  done clear
  View Answer play_arrow

• question_answer117) If the vectors \[3\widehat{\mathbf{i}}+\lambda \widehat{\mathbf{j}}+\widehat{\mathbf{k}}\] and \[2\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+8\widehat{\mathbf{k}}\] are perpendicular, then value of \[\lambda \] is:
  A)
  \[-14\]                                 
  done clear
  B)
  \[7\]
  done clear
  C)
  \[14\]                                   
  done clear
  D)
   \[1/7\]
  done clear
  View Answer play_arrow

• question_answer118) The unit vector perpendicular to both \[\widehat{\mathbf{i}}-\widehat{\mathbf{j}}\] and \[\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\] is:
  A)
  \[\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\]                
  done clear
  B)
  \[\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\]
  done clear
  C)
  \[\frac{\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\mathbf{k}}}{\sqrt{3}}\]                               
  done clear
  D)
  \[\frac{\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-\widehat{\mathbf{k}}}{\sqrt{3}}\]
  done clear
  View Answer play_arrow

• question_answer119) For any three vectors\[\overset{\to }{\mathop{\mathbf{a}}}\,,\,\,\overset{\to }{\mathop{\mathbf{b}}}\,,\,\,\overset{\to }{\mathop{\mathbf{c}}}\,\];\[\overset{\to }{\mathop{\mathbf{a}}}\,\times (\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)+\overset{\to }{\mathop{\mathbf{b}}}\,\times (\overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{a}}}\,)+\overset{\to }{\mathop{\mathbf{c}}}\,\times (\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,)\]is:
  A)
  \[\overset{\to }{\mathop{\mathbf{0}}}\,\]                                         
  done clear
  B)
  \[\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\]
  done clear
  C)
   \[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)\]                      
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer120) The point moves such that the area of the triangle formed by it with the points \[(1,\,\,5)\] and \[(3,\,\,-7)\] is\[21\,\,sq\,\,unit\]The locus of the point is:
  A)
  \[6x+y-32=0\]   
  done clear
  B)
  \[6x-y+32=0\]
  done clear
  C)
   \[x+6y-32=0\]  
  done clear
  D)
   \[6x+y+32=0\]
  done clear
  View Answer play_arrow

• question_answer121) The line \[\frac{x}{a}-\frac{y}{b}=1\] cuts the \[x-\]axis at \[P\]. The equation of the line through \[P\] perpendicular to the given line is:
  A)
  \[x+y=ab\]                         
  done clear
  B)
  \[x+y=a+b\]
  done clear
  C)
  \[ax+by={{a}^{2}}\]                       
  done clear
  D)
   \[bx+ay={{b}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer122) Three vertices of a parallelogram taken in order are \[(-1,\,\,-6),\,\,\,(2,\,\,-5)\] and \[(7,\,\,2)\]. The fourth vertex is:
  A)
  \[(1,\,\,4)\]                        
  done clear
  B)
  \[(4,\,\,1)\]
  done clear
  C)
  \[(1,\,\,1)\]                                        
  done clear
  D)
  \[(4,\,\,4)\]
  done clear
  View Answer play_arrow

• question_answer123) Distance between the lines \[5x+3y-7=0\] and\[15x+9y+14=0\] is:
  A)
  \[\frac{35}{\sqrt{34}}\]                 
  done clear
  B)
  \[\frac{1}{3\sqrt{34}}\]
  done clear
  C)
  \[\frac{35}{3\sqrt{34}}\]                              
  done clear
  D)
   \[\frac{35}{2\sqrt{34}}\]
  done clear
  View Answer play_arrow

• question_answer124) If the equation\[2{{x}^{2}}+7xy+3{{y}^{2}}-9x-7y+k=0\] represents a pair of lines, then \[k\] is equal to:
  A)
  \[4\]                                     
  done clear
  B)
  \[2\]
  done clear
  C)
   \[1\]                                    
  done clear
  D)
    None of these
  done clear
  View Answer play_arrow

• question_answer125) The centre of a circle \[(2,\,\,-3)\] and the circumference is \[10\pi \]. The equation or the circle is:
  A)
  \[{{x}^{2}}+{{y}^{2}}+4x+6y+12=0\]
  done clear
  B)
  \[{{x}^{2}}+{{y}^{2}}-4x+6y+12=0\]
  done clear
  C)
  \[{{x}^{2}}+{{y}^{2}}-4x+6y-12=0\]
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}-4x-6y-12=0\]
  done clear
  View Answer play_arrow

• question_answer126) The equation of the parabola whose vertex is at \[(2,\,\,-1)\] and focus at \[(2,\,\,-3)\] is:
  A)
  \[{{x}^{2}}+4x-8y-12=0\]
  done clear
  B)
  \[{{x}^{2}}-4x+8y+12=0\]
  done clear
  C)
  \[{{x}^{2}}+8y=12\]
  done clear
  D)
  \[{{x}^{2}}-4x+12=0\]
  done clear
  View Answer play_arrow

• question_answer127) The eccentricity of the conic \[9{{x}^{2}}+25{{y}^{2}}=225\] is:
  A)
  \[2/5\]                                 
  done clear
  B)
  \[4/5\]
  done clear
  C)
   \[1/3\]                                
  done clear
  D)
   \[1/5\]
  done clear
  View Answer play_arrow

• question_answer128) If\[{{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\tan }^{-1}}z=\pi \], then\[x+y+z\]is equal to:
  A)
  \[xyz\]                                 
  done clear
  B)
  \[0\]
  done clear
  C)
   \[1\]                                    
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer129) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos mx}{1-\cos nx}\]is:
  A)
  \[m/n\]                               
  done clear
  B)
  \[{{m}^{2}}/{{n}^{2}}\]
  done clear
  C)
   \[0\]                                    
  done clear
  D)
   \[n/m\]
  done clear
  View Answer play_arrow

• question_answer130) If\[x={{\sin }^{-1}}(3t-4{{t}^{3}})\]and\[y={{\cos }^{-1}}\sqrt{(1-{{t}^{2}})}\], then \[\frac{dy}{dx}\] is equal to:
  A)
  \[1/2\]                                 
  done clear
  B)
   \[2/5\]
  done clear
  C)
   \[3/2\]                                
  done clear
  D)
   \[1/3\]
  done clear
  View Answer play_arrow

• question_answer131) The second derivative of a sin31 with respect to\[a{{\cos }^{3}}t\]at\[t=\frac{\pi }{4}\]to:
  A)
  \[\frac{4\sqrt{2}}{3a}\]                 
  done clear
  B)
  \[2\]
  done clear
  C)
   \[\frac{1}{12a}\]                                             
  done clear
  D)
    None of these
  done clear
  View Answer play_arrow

• question_answer132) If\[f(x)=\left\{ \begin{matrix}    \frac{{{x}^{2}}-9}{x-3}, & if\,\,x\ne 3  \\    2x+k, & if\,\,x=3  \\ \end{matrix} \right.\]is continuous at\[x=3\], then \[k\] is equal to:
  A)
  \[3\]                                     
  done clear
  B)
  \[0\]
  done clear
  C)
  \[-6\]                                    
  done clear
  D)
   \[1/6\]
  done clear
  View Answer play_arrow

• question_answer133) The function\[y=a(1-\cos x),\,\,a>0\]is maximum when \[x\] is equal to:
  A)
  \[\pi \]                                 
  done clear
  B)
  \[\frac{\pi }{2}\]
  done clear
  C)
  \[-\frac{\pi }{2}\]                                             
  done clear
  D)
  \[-\frac{\pi }{6}\]
  done clear
  View Answer play_arrow

• question_answer134) \[\int_{0}^{\pi /2}{x\,\,\sin \,\,x\,\,dx}\]is equal to:
  A)
  \[\frac{\pi }{4}\]                                              
  done clear
  B)
  \[\frac{\pi }{2}\]
  done clear
  C)
  \[\pi \]                                 
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer135) \[\int_{0}^{\pi /2}{\frac{\sin x}{\sin x+\cos x}}dx\]is equal to:
  A)
  \[\pi \]                                 
  done clear
  B)
  \[\frac{\pi }{2}\]
  done clear
  C)
  \[\frac{\pi }{3}\]                                              
  done clear
  D)
  \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer136) The area bounded by the parabola \[{{y}^{2}}=4ax\] and\[{{x}^{2}}=4ay\]is:
  A)
  \[\frac{8{{a}^{2}}}{3}sq\,\,unit\]                              
  done clear
  B)
  \[\frac{16{{a}^{2}}}{3}sq\,\,unit\]
  done clear
  C)
  \[\frac{32{{a}^{2}}}{3}sq\,\,unit\]                            
  done clear
  D)
   \[\frac{64{{a}^{2}}}{3}sq\,\,unit\]
  done clear
  View Answer play_arrow

• question_answer137) The degree of differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{3}}+6y=0\]is:
  A)
  \[1\]                                     
  done clear
  B)
  \[3\]
  done clear
  C)
  \[2\]                                     
  done clear
  D)
   \[5\]
  done clear
  View Answer play_arrow

• question_answer138) The solution\[\frac{dy}{dx}+P(x)y=0\]is:
  A)
  \[y=c{{e}^{\int{P\,\,dx}}}\]                        
  done clear
  B)
  \[x=c{{e}^{-\int{P\,\,dx}}}\]
  done clear
  C)
  \[y=c{{e}^{-\int{P\,\,dx}}}\]                       
  done clear
  D)
    None of these
  done clear
  View Answer play_arrow

• question_answer139) If\[P(A)=2/3,\,\,P(B)=1/2\]and\[P(A\cup B)=5/6\], then events \[A\] and \[B\] are:
  A)
   mutually, exclusive
  done clear
  B)
   independent as well as mutually exhaustive
  done clear
  C)
   independent
  done clear
  D)
    dependent only on\[A\]
  done clear
  View Answer play_arrow

• question_answer140) \[\int_{-2}^{2}{|1-{{x}^{2}}|dx}\]is equal to:
  A)
  \[4\]                                     
  done clear
  B)
  \[2\]
  done clear
  C)
   \[-2\]                                   
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer141) \[\int_{2}^{4}{x}\sqrt{6-x}\,dx\]is equal to:
  A)
  \[\frac{16}{5}(3-\sqrt{2})\]                         
  done clear
  B)
  \[\frac{32}{5}(3-\sqrt{2})\]
  done clear
  C)
  \[\frac{8}{5}(3-\sqrt{2})\]                            
  done clear
  D)
   \[\frac{64}{5}(3-\sqrt{2})\]
  done clear
  View Answer play_arrow

• question_answer142) \[\int_{a}^{b}{\frac{f(x)}{f(x)+f(a+b-x)}}dx\]is equal to:
  A)
  \[\frac{b-a}{2}\]                              
  done clear
  B)
  \[\frac{a-b}{2}\]
  done clear
  C)
  \[\frac{a}{2}\]                                   
  done clear
  D)
  \[\frac{b}{2}\]
  done clear
  View Answer play_arrow

• question_answer143) The maximum value of the function\[\sin x(1+\cos x)\]is:
  A)
  \[3\]                                     
  done clear
  B)
  \[\frac{3\sqrt{3}}{4}\]
  done clear
  C)
  \[4\]                                     
  done clear
  D)
   \[3\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer144) Let\[f(x)=\frac{1}{\sqrt{18-{{x}^{2}}}}\]. The value of\[\underset{x\to 3}{\mathop{\lim }}\,\frac{f(x)-f(3)}{x-3}\]is:
  A)
  \[0\]                                     
  done clear
  B)
  \[-1/9\]
  done clear
  C)
  \[-1/3\]               
  done clear
  D)
  \[3\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer145) \[{{x}^{y}}\cdot {{y}^{x}}=1\], then\[\frac{dy}{dx}\]is:
  A)
  \[\frac{y(y+x\log y)}{x(y\log x+x)}\]       
  done clear
  B)
  \[\frac{y(x+y\log x)}{x(y+x\log y)}\]
  done clear
  C)
   \[\frac{-y(y+x\log y)}{x(x+y\log x)}\]    
  done clear
  D)
    None of these
  done clear
  View Answer play_arrow

• question_answer146) If in \[\Delta ABC\], \[a+\tan A+b\tan B\]\[=(a+b)\tan \frac{1}{2}(A+B)\], then:
  A)
  \[A=B\]               
  done clear
  B)
  \[B=C\]
  done clear
  C)
  \[C=A\]               
  done clear
  D)
   \[A=B=C\]
  done clear
  View Answer play_arrow

• question_answer147) The centre of the ellipse\[\frac{{{(x+y-2)}^{2}}}{9}+\frac{{{(x-y)}^{2}}}{16}=1\]is:
  A)
  \[(0,\,\,0)\]                        
  done clear
  B)
  \[(1,\,\,1)\]
  done clear
  C)
   \[(1,\,\,0)\]                       
  done clear
  D)
   \[(0,\,\,1)\]
  done clear
  View Answer play_arrow

• question_answer148) The angle between the pair of lines is given by the equation\[{{x}^{2}}+2xy-{{y}^{2}}=0\]is:
  A)
  \[\frac{\pi }{3}\]                                              
  done clear
  B)
  \[\frac{\pi }{6}\]
  done clear
  C)
   \[\frac{\pi }{2}\]                                             
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer149) The term independent of\[x\]is\[{{\left( \frac{3}{2}{{x}^{2}}-\frac{1}{3x} \right)}^{9}}\], is:
  A)
  \[5/27\]                               
  done clear
  B)
   \[7/18\]
  done clear
  C)
   \[8/27\]                              
  done clear
  D)
   \[1/24\]
  done clear
  View Answer play_arrow

• question_answer150) If\[x\]is real, then\[\frac{{{x}^{2}}-2x+4}{{{x}^{2}}+2x+4}\]takes values in the interval:
  A)
  \[[1/3,\,\,3]\]                   
  done clear
  B)
  \[(1/3,\,\,3)\]
  done clear
  C)
   \[(3,\,\,3)\]                       
  done clear
  D)
   \[(-1/3,\,\,3)\]
  done clear
  View Answer play_arrow