Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 75

• question_answer1) Which one of the following represents the correct dimensions of the coefficient of viscosity?     AIEEE  Solved  Paper-2004
  A)
  \[[M{{L}^{-1}}{{T}^{-2}}]\]         
  done clear
  B)
  \[[ML{{T}^{-1}}]\]           
  done clear
  C)
         \[[M{{L}^{-1}}{{T}^{-1}}]\]     
  done clear
  D)
         \[[M{{L}^{-2}}{{T}^{-2}}]\]
  done clear
  View Answer play_arrow

• question_answer2) A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to     AIEEE  Solved  Paper-2004  
  A)
  \[{{x}^{2}}\]                      
  done clear
  B)
         \[{{e}^{x}}\]                      
  done clear
  C)
         \[x\]                     
  done clear
  D)
         \[{{\log }_{e}}x\]
  done clear
  View Answer play_arrow

• question_answer3) A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in \[T/3s\]?     AIEEE  Solved  Paper-2004  
  A)
  \[h/9\]m from the ground
  done clear
  B)
  \[7h/9\]m from the ground
  done clear
  C)
  \[8h/9\]m from the ground
  done clear
  D)
  \[17h/18\]m from the ground
  done clear
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• question_answer4) If\[A\times B=B\times A,\]then the angle between A and B is     AIEEE  Solved  Paper-2004
  A)
  \[\pi \]           
  done clear
  B)
                         \[\pi /3\]             
  done clear
  C)
         \[\pi /2\]                   
  done clear
  D)
         \[\pi /4\]
  done clear
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• question_answer5) A projectile can have the same range R for two angles of projection. If\[{{T}_{1}}\]and\[{{T}_{2}}\]are the times of flights in the two cases, then the product of the two times of flights is directly proportional to     AIEEE  Solved  Paper-2004  
  A)
  \[\frac{1}{{{R}^{2}}}\]    
  done clear
  B)
                         \[\frac{1}{R}\]                  
  done clear
  C)
         R            
  done clear
  D)
         \[{{R}^{2}}\]
  done clear
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• question_answer6) Which of the following statements is false for a particle moving in a circle with a constant angular speed?     AIEEE  Solved  Paper-2004  
  A)
  The velocity vector is tangent to the circle
  done clear
  B)
  The acceleration vector is tangent to the circle
  done clear
  C)
  The acceleration vector points to the centre of the circle
  done clear
  D)
  The velocity and acceleration vectors are perpendicular to each other
  done clear
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• question_answer7) An automobile travelling with a speed of 60 km/h, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e., 120 km/h, the stopping distance will be     AIEEE  Solved  Paper-2004
  A)
  20 m     
  done clear
  B)
         40 m     
  done clear
  C)
         60 m     
  done clear
  D)
         80 m
  done clear
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• question_answer8) A machine gun fires a bullet of mass 40 g with a velocity\[1200\text{ }m{{s}^{-1}}\]. The man holding it, can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most?     AIEEE  Solved  Paper-2004
  A)
  One  
  done clear
  B)
                         Four      
  done clear
  C)
                         Two      
  done clear
  D)
         Three
  done clear
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• question_answer9) Two masses\[{{m}_{1}}=5\,kg\]and\[{{m}_{2}}=4.8\,kg\]lied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift is free to move? \[(g=9.8\text{ }m/{{s}^{2}})\]   AIEEE  Solved  Paper-2004
  A)
  \[0.2\text{ }m/{{s}^{2}}\]         
  done clear
  B)
         \[98\text{ }m/{{s}^{2}}\text{ }{{L}^{-1}}\]            
  done clear
  C)
         \[5\text{ }m/{{s}^{2}}\]           
  done clear
  D)
         \[4.8\text{ }m/{{s}^{2}}\]
  done clear
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• question_answer10) A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?     AIEEE  Solved  Paper-2003
  A)
  7.2 J         
  done clear
  B)
                         3.6 J                      
  done clear
  C)
         120 J                     
  done clear
  D)
         1200 J
  done clear
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• question_answer11) A block rests on a rough inclined plane making an angle of\[30{}^\circ \]with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take\[g=10\text{ }m/{{s}^{2}}\])
  A)
  2.0           
  done clear
  B)
        4.0                         
  done clear
  C)
         1.6                 
  done clear
  D)
         2.5
  done clear
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• question_answer12) A force\[F=(5\hat{i}+3\hat{j}+2\hat{k})\] is applied over a particle which displaces it from its origin to the point\[r=(2\hat{i}-\hat{j})m\]. The work done on the particle in joules is
  A)
  - 7           
  done clear
  B)
                         + 7                         
  done clear
  C)
         + 10                       
  done clear
  D)
         + 13
  done clear
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• question_answer13) A body of mass m accelerates uniformly from rest to\[{{v}_{1}}\]in time\[{{t}_{1}}\]. The instantaneous power delivered to the body as a function of time t is
  A)
  \[\frac{m{{v}_{1}}t}{{{t}_{1}}}\]
  done clear
  B)
                         \[\frac{mv_{1}^{2}t}{t_{1}^{2}}\]            
  done clear
  C)
         \[\frac{m{{v}_{1}}{{t}^{2}}}{{{t}_{1}}}\] 
  done clear
  D)
         \[\frac{mv_{1}^{2}t}{{{t}_{1}}}\]
  done clear
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• question_answer14) A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of 'the particle. The motion of the particle takes place in a plane, it follows that
  A)
  its velocity is constant
  done clear
  B)
  its acceleration is constant
  done clear
  C)
  its kinetic energy is constant
  done clear
  D)
  it moves in a straight line
  done clear
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• question_answer15) A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be affected?
  A)
  Moment of inertia
  done clear
  B)
  Angular momentum
  done clear
  C)
  Angular velocity
  done clear
  D)
  Rotational kinetic energy
  done clear
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• question_answer16) A ball is thrown from a point with a speed\[{{v}_{0}}\]at an angle of projection\[\theta \]. From the same point and at the same instant, a person starts running with a constant speed \[\frac{{{v}_{0}}}{2}\]to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?
  A)
  Yes, \[60{}^\circ \]          
  done clear
  B)
         Yes,\[30{}^\circ \]           
  done clear
  C)
         No                         
  done clear
  D)
         Yes,\[45{}^\circ \]
  done clear
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• question_answer17) One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively \[{{l}_{A}}\] and \[{{l}_{B}}\] such that
  A)
  \[{{l}_{A}}={{l}_{B}}\]    
  done clear
  B)
         \[{{l}_{A}}>{{l}_{B}}\]    
  done clear
  C)
         \[{{l}_{A}}<{{l}_{B}}\]    
  done clear
  D)
         \[\frac{{{l}_{A}}}{{{l}_{B}}}\,=\frac{{{d}_{A}}}{{{d}_{B}}}\] where\[{{d}_{A}}\]and\[{{d}_{B}}\]are their densities.
  done clear
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• question_answer18) A satellite of mass\[m\]revolve around the earth of radius R at a bright\[x\]from its surface. If\[g\]is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellites is
  A)
  \[gx\]                   
  done clear
  B)
         \[\frac{gR}{R-x}\]            
  done clear
  C)
         \[\frac{g{{R}^{2}}}{R+x}\]            
  done clear
  D)
         \[{{\left( \frac{g{{R}^{2}}}{R+x} \right)}^{1/2}}\]
  done clear
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• question_answer19) The time period of an earth satellite in circular orbit is independent of
  A)
  the mass of the satellite
  done clear
  B)
  radius of its orbit
  done clear
  C)
  both the mass and radius of the orbit
  done clear
  D)
  neither the mass of the satellite nor the radius of its orbit
  done clear
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• question_answer20) If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is
  A)
  \[2\text{ }mgR\]
  done clear
  B)
                         \[\frac{1}{2}mgR\]
  done clear
  C)
  \[\frac{1}{4}mgR\]          
  done clear
  D)
         \[mgR\]
  done clear
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• question_answer21) Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
  A)
   \[{{R}^{\left( \frac{n+1}{2} \right)}}\]   
  done clear
  B)
         \[{{R}^{\left( \frac{n-1}{2} \right)}}\]     
  done clear
  C)
         \[{{R}^{n}}\]                      
  done clear
  D)
         \[{{R}^{\left( \frac{n-2}{2} \right)}}\]
  done clear
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• question_answer22) A wire fixed at the upper end stretches by length 1 by applying a force\[F\]The work done in stretching is
  A)
  \[\frac{F}{2l}\]  
  done clear
  B)
                         \[Fl\]                    
  done clear
  C)
         \[2Fl\]                  
  done clear
  D)
         \[\frac{Fl}{2}\]
  done clear
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• question_answer23) Spherical balls of radius R are falling g in a viscous fluid of viscosity\[\eta \]. The retarding viscous force acting on the spherical ball is
  A)
  directly proportional to R but inversely proportional to v
  done clear
  B)
  directly proportional to both radius R and velocity v
  done clear
  C)
  Inversely proportional to both radius R and velocity v.
  done clear
  D)
  Inversely proportional to R but directly proportional to velocity v.
  done clear
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• question_answer24) If two soap bubbles of different radii are connected by a tube
  A)
  air flows the bigger bubble to the smaller bubble till the sizes become equal
  done clear
  B)
  air flows from bigger bubble to the smaller bubble till the sizes are interchanged
  done clear
  C)
  air flows from the smaller bubble to the bigger
  done clear
  D)
  there is no flow of air
  done clear
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• question_answer25) The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is to in air. Neglecting frictional force of water and given that the density of the bob is\[(4/3)\times 1000\]\[kg/{{m}^{3}}\]. What relationship between t and\[{{t}_{0}}\]is true?
  A)
  \[t={{t}_{0}}\]   
  done clear
  B)
         \[t={{t}_{0}}/2\]              
  done clear
  C)
         \[t=2{{t}_{0}}\]
  done clear
  D)
         \[t=4{{t}_{0}}\]
  done clear
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• question_answer26) A particle at the end of a spring executes simple harmonic motion with a period\[{{t}_{1}},\]while the corresponding period for another spring is\[{{t}_{2}}\]. If the period of oscillation with the two springs in series is T, then
  A)
   \[T={{t}_{1}}+{{t}_{2}}\]              
  done clear
  B)
         \[{{T}^{2}}=t_{1}^{2}+t_{2}^{2}\]            
  done clear
  C)
         \[{{T}^{-1}}=t_{1}^{-1}+t_{2}^{-1}\]
  done clear
  D)
         \[{{T}^{-2}}\,=t_{1}^{-2}+t_{2}^{-2}\]
  done clear
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• question_answer27) The total energy of a particle, executing simple harmonic motion is
  A)
  \[\propto x\]
  done clear
  B)
  \[\propto \,{{x}^{2}}\]
  done clear
  C)
  Independent of\[x.\]
  done clear
  D)
  \[\propto {{x}^{1/2}}\] where,\[x\]is the displacement from the mean position.
  done clear
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• question_answer28) The displacement y of a particle in a medium can be expressed as\[y={{10}^{-6}}\sin \left( 100t+20x+\frac{\pi }{4} \right)m\], where t is in second and \[x\]in metre. The speed of the wave is
  A)
  \[2000\,m/s\]   
  done clear
  B)
         \[5\,\,m/s\]       
  done clear
  C)
         \[20\,\,m/s\]    
  done clear
  D)
         \[5\pi \,\,m/s\]
  done clear
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• question_answer29) A particle of mass m is attached to a spring (of spring constant\[k\] and has a natural angular frequency\[{{\omega }_{0}}\]. An external force F(t) proportional to \[\cos \omega t(\omega \ne {{\omega }_{0}})\]is applied to the oscillator. The time displacement of the oscillator will be proportional to
  A)
  \[\frac{m}{\omega _{0}^{2}-{{\omega }^{2}}}\]                
  done clear
  B)
  \[\frac{1}{m(\omega _{0}^{2}-{{\omega }^{2}})}\]          
  done clear
  C)
         \[\frac{1}{m(\omega _{0}^{2}+{{\omega }^{2}})}\]         
  done clear
  D)
         \[\frac{m}{\omega _{0}^{2}+{{\omega }^{2}}}\]
  done clear
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• question_answer30) In forced oscillation of a particle, the amplitude is maximum for a frequency\[{{\omega }_{1}}\]of the force, while the energy is maximum for a frequency \[{{\omega }_{2}}\]of the force, then
  A)
  \[{{\omega }_{1}}={{\omega }_{2}}\]
  done clear
  B)
  \[{{\omega }_{1}}>{{\omega }_{2}}\]
  done clear
  C)
  \[{{\omega }_{1}}<{{\omega }_{2}}\]when damping is small and\[{{\omega }_{1}}>{{\omega }_{2}}\] when damping is large
  done clear
  D)
  \[{{\omega }_{1}}<{{\omega }_{2}}\]
  done clear
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• question_answer31) One mole of ideal monatomic gas\[(\gamma =5/3)\]is mixed with one mole of diatomic gas\[(\gamma =7/5)\]What is\[\gamma \]for the mixture? y denotes the ratio of specific heat at constant pressure, to that at constant volume
  A)
  3/2                        
  done clear
  B)
         23/15    
  done clear
  C)
         35/23                    
  done clear
  D)
         4/3
  done clear
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• question_answer32) If the temperature of the sun were to increase from T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on the earth to what it was previously, will be
  A)
  4
  done clear
  B)
                                         16                          
  done clear
  C)
         32                          
  done clear
  D)
         64
  done clear
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• question_answer33) Which of the following statements is correct for any thermodynamic system?
  A)
  The internal energy changes in all processes
  done clear
  B)
  Internal energy and entropy are state functions
  done clear
  C)
  The change in entropy can never be zero
  done clear
  D)
  The work done in an adiabatic process is always zero
  done clear
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• question_answer34) Two thermally insulated vessels 1 and 2 are filled with air at temperatures\[({{T}_{1}},{{T}_{2}}),\]volumes \[({{V}_{1}},{{V}_{2}}),\]and pressures\[({{p}_{1}},{{p}_{2}}),\]respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
  A)
  \[{{T}_{1}}+{{T}_{2}}\]  
  done clear
  B)
         \[\frac{({{T}_{1}}+{{T}_{2}})}{2}\]            
  done clear
  C)
         \[\frac{{{T}_{1}}{{T}_{2}}({{p}_{1}}{{V}_{1}}+{{p}_{2}}{{V}_{2}})}{{{p}_{1}}{{V}_{1}}{{T}_{2}}+{{p}_{2}}{{V}_{2}}{{T}_{1}}}\]
  done clear
  D)
         \[\frac{{{T}_{1}}{{T}_{2}}({{p}_{1}}{{V}_{1}}+{{p}_{2}}{{V}_{2}})}{{{p}_{1}}{{V}_{1}}{{T}_{1}}+{{p}_{2}}{{V}_{2}}{{T}_{2}}}\]
  done clear
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• question_answer35) A radiation of energy E falls normally on d perfectly reflecting surface. The momentum transferred to the surface is
  A)
  \[E/c\]                 
  done clear
  B)
         \[2E/c\]               
  done clear
  C)
         \[Ec\]                   
  done clear
  D)
         \[E/{{c}^{2}}\]
  done clear
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• question_answer36) The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and\[2K\]and thickness\[x\]and\[4x,\]respectively are\[{{T}_{2}},\]and\[{{T}_{1}}({{T}_{2}}>{{T}_{1}})\]. The rate of heat transfer through the slab, in a steady state is\[\left( \frac{A({{T}_{2}}-{{T}_{1}})K}{x} \right)f,\]with f equals
  A)
  1       
  done clear
  B)
                         1/2        
  done clear
  C)
         2/3        
  done clear
  D)
         1/3
  done clear
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• question_answer37) A light ray is incident perpendicular to one face of a\[90{}^\circ \]prism and is totally internally reflected at the glass-air interface. If the angle of reflection is\[45{}^\circ ,\] we conclude that the refractive index\[n\]is
  A)
  \[n<\frac{1}{\sqrt{2}}\]
  done clear
  B)
         \[n>\sqrt{2}\]   
  done clear
  C)
         \[n>\frac{1}{\sqrt{2}}\]
  done clear
  D)
         \[n<\sqrt{2}\]
  done clear
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• question_answer38) A plano-convex lens of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface. Now, this lens has been used to from the image of an object. At what distance from this lens, an object be placed in order to have a real image of the size of the object?
  A)
  20 cm    
  done clear
  B)
                         30 cm                   
  done clear
  C)
  60 cm                   
  done clear
  D)
         80 cm
  done clear
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• question_answer39) The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index\[n\]), is
  A)
  \[{{\sin }^{-1}}(n)\]                        
  done clear
  B)
  \[{{\sin }^{-1}}(1/n)\]    
  done clear
  C)
         \[{{\tan }^{-1}}(1/n)\]   
  done clear
  D)
         \[{{\tan }^{-1}}(n)\]
  done clear
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• question_answer40) The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is
  A)
  infinite             
  done clear
  B)
         five                       
  done clear
  C)
         three               
  done clear
  D)
         zero
  done clear
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• question_answer41) An electromagnetic wave of frequency \[v=3.0MHz\]passes from vacuum into a dielectric medium with permittivity\[\varepsilon =4.0.\] Then,
  A)
  wavelength is doubled and the frequency remains unchanged
  done clear
  B)
  wavelength is' doubled and frequency becomes half
  done clear
  C)
  wavelength is halved and frequency remains unchanged
  done clear
  D)
  (d) wavelength and frequency  both remain unchanged.
  done clear
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• question_answer42) Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is
  A)
  \[\frac{F}{4}\]   
  done clear
  B)
                         \[\frac{3F}{4}\]                
  done clear
  C)
         \[\frac{F}{8}\]                   
  done clear
  D)
         \[\frac{3F}{8}\]
  done clear
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• question_answer43) A charged particle q is shot towards another charged particle\[Q\]which is fixed, with a speed v. It approaches\[Q\]upto a closest distance r and then returns. If q was given a speed 2 v, the closest distance of approach would be
  A)
  r             
  done clear
  B)
                         2r           
  done clear
  C)
         r/2         
  done clear
  D)
         r/4
  done clear
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• question_answer44) Four charges equal to\[-Q\]are placed at the four comers of a square and a charge q is at its centre. If the system is in equilibrium, the value of q is
  A)
  \[-\frac{Q}{4}(1+2\sqrt{2})\]
  done clear
  B)
         \[\frac{Q}{4}(1+2\sqrt{2})\]       
  done clear
  C)
         \[-\frac{Q}{2}(1+2\sqrt{2})\]
  done clear
  D)
         \[\frac{Q}{2}(1+2\sqrt{2})\]
  done clear
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• question_answer45) Alternating current cannot be measured by DC ammeter because
  A)
  AC cannot pass through DC ammeter
  done clear
  B)
  AC changes direction
  done clear
  C)
  average value of current for complete cycle is zero
  done clear
  D)
  DC ammeter will get damaged
  done clear
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• question_answer46) The total current supplied to the circuit by the battery is
  A)
  1A                         
  done clear
  B)
  2A          
  done clear
  C)
  4A          
  done clear
  D)
  6A
  done clear
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• question_answer47) The resistance of the series combination of two resistances is S. When they are joined in parallel, the total resistance is P. If\[S=nP,\] then the minimum possible value of n is
  A)
  4                             
  done clear
  B)
  3             
  done clear
  C)
         2             
  done clear
  D)
         1
  done clear
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• question_answer48) An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of the wires are in the ratio of 4/3 and 2/3, then the ratio of the currents passing through the wire will be
  A)
  3                                             
  done clear
  B)
  1/3        
  done clear
  C)
         8/9        
  done clear
  D)
         2
  done clear
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• question_answer49) In a metre bridge experiment, null point is obtained at 20 cm from one end of the wire when resistance\[X\]is balanced against another resistance\[Y\].If\[X<Y,\]then where will be the new position of the null point from the same end, if one decides to balance a resistance of \[4X\]against\[Y\]?
  A)
  50 cm
  done clear
  B)
                         80 cm   
  done clear
  C)
         40 cm   
  done clear
  D)
         70 cm
  done clear
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• question_answer50) The thermistors are usually made of
  A)
  metals with low temperature coefficient of resistivity
  done clear
  B)
  metals with high temperature coefficient of resistivity
  done clear
  C)
  metal oxides with high temperature coefficient of resistivity
  done clear
  D)
  semiconducting materials having low temperature coefficient of resistivity
  done clear
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• question_answer51) Time taken by a 836 W heater to heat one litre of water from\[10{}^\circ C\]to\[40{}^\circ C\]is
  A)
  50s    
  done clear
  B)
                                         100s                      
  done clear
  C)
  150s                      
  done clear
  D)
         200s
  done clear
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• question_answer52) The thermo-emf of a thermocouple varies with the temperature\[\theta \]of the hot junction as\[E=a\theta +b{{\theta }^{2}}\]in volts where the ratio a/b is\[700{}^\circ C\]. If the cold junction is kept at\[0{}^\circ C,\]then the neutral temperature is
  A)
  \[700{}^\circ C\]                              
  done clear
  B)
  \[350{}^\circ C\]
  done clear
  C)
  \[1400{}^\circ C\]
  done clear
  D)
  no neutral temperature is possible for this thermocouple
  done clear
  View Answer play_arrow

• question_answer53) The electrochemical equivalent of metal is\[3.3\times {{10}^{-7}}\,kg/C\]. The mass of the metal     liberated at the cathode when a 3 A current is passed for 2 s, will be
  A)
  \[19.8\times {{10}^{-7}}kg\]       
  done clear
  B)
         \[9.9\times {{10}^{-7}}kg\]         
  done clear
  C)
         \[6.6\times {{10}^{-7}}kg\]    
  done clear
  D)
         \[1.1\times {{10}^{-7}}kg\]
  done clear
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• question_answer54) A current\[i\]ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
  A)
  infinite          
  done clear
  B)
         zero                      
  done clear
  C)
         \[\frac{{{\mu }_{0}}}{4\pi }.\frac{2i}{r}T\]             
  done clear
  D)
         \[\frac{2i}{r}T\]
  done clear
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• question_answer55) A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is B. It is then bent into a circular loop of n turns. The magnetic field at the centre of the coil will be
  A)
  \[nB\]  
  done clear
  B)
                                         \[{{n}^{2}}B\]
  done clear
  C)
  \[2nB\]                
  done clear
  D)
         \[2{{n}^{2}}B\]
  done clear
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• question_answer56) The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from, the centre is 54\[\mu T\]. What will be its value at tile centre of the loop?
  A)
  \[250\mu T\]     
  done clear
  B)
         \[150\mu T\]     
  done clear
  C)
         \[125\mu T\]     
  done clear
  D)
         \[75\mu T\]
  done clear
  View Answer play_arrow

• question_answer57) Two long conductors, separated by a distance d. carry currents\[{{I}_{1}}\]and\[{{I}_{2}}\]in the same direction. They exert a force F on each other. Now, the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of the force between them is
  A)
  \[-2F\]
  done clear
  B)
                                         \[F/3\] 
  done clear
  C)
         \[-2F/3\]          
  done clear
  D)
         \[-F/3\]
  done clear
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• question_answer58) The length of a magnet is large compared to its width and breadth. The time period of its  oscillation  in  a  vibration magnetometer is 2 s. The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination will be
  A)
  \[2s\]   
  done clear
  B)
                         \[2/3\text{ }s\]
  done clear
  C)
         \[2\sqrt{3}\text{ }s\]     
  done clear
  D)
         \[2/\sqrt{3}\text{ }s\]
  done clear
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• question_answer59) The materials suitable for making electromagnets should have
  A)
  high retentivity and high coercivity
  done clear
  B)
  low retentivity and low coercivity
  done clear
  C)
  high retentivity and low coercivity
  done clear
  D)
  low retentivity and high coercivity
  done clear
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• question_answer60) In an LCR series AC circuit, the voltage across each of the components. L, C and R is 50 V. The voltage across the LC combination will be
  A)
  \[50V\]                
  done clear
  B)
  \[50\sqrt{2}V\]
  done clear
  C)
         \[100V\]              
  done clear
  D)
         0
  done clear
  View Answer play_arrow

• question_answer61) A coil having n turns and resistance\[R\,\Omega \]. is connected with a galvanometer of resistance\[4R\,\Omega \]. This combination is moved in time t seconds from a magnetic field\[{{W}_{1}}\]weber to\[{{W}_{2}}\] weber. The induced current in the circuit is
  A)
  \[\frac{{{W}_{2}}-{{W}_{1}}}{5Rnt}\]      
  done clear
  B)
         \[-\frac{n({{W}_{2}}-{{W}_{1}})}{5Rt}\]
  done clear
  C)
                         \[-\frac{({{W}_{2}}-{{W}_{1}})}{Rnt}\]   
  done clear
  D)
         \[-\frac{n({{W}_{2}}-{{W}_{1}})}{Rt}\]
  done clear
  View Answer play_arrow

• question_answer62) In a uniform magnetic field of induction B, a wire in the form of semi-circle, of radius r rotates about the diameter of the circle with angular frequency\[\omega \]. If the total resistance of the circuit is R, the mean power generated per period of rotation is
  A)
  \[\frac{B\pi {{r}^{2}}\omega }{2R}\]       
  done clear
  B)
         \[\frac{{{(B\pi {{r}^{2}}\omega )}^{2}}}{8R}\]     
  done clear
  C)
         \[\frac{{{(B\pi r\omega )}^{2}}}{2R}\]    
  done clear
  D)
         \[\frac{{{(B\pi r{{\omega }^{2}})}^{2}}}{8R}\]
  done clear
  View Answer play_arrow

• question_answer63) In an LCR circuit, capacitance is changed from C to 2 C. For the resonant frequency to remain unchanged, the inductance should be changed from L to
  A)
  4L                           
  done clear
  B)
  2L           
  done clear
  C)
         L/2         
  done clear
  D)
         L/4
  done clear
  View Answer play_arrow

• question_answer64) A metal conductor of length 1m rotates vertically about one of its ends at angular velocity 5 rad/s. If the horizontal component of the earth's magnetic field is\[0.2\times {{10}^{-4}}T\]then the emf developed between the two ends of the conductor is
  A)
  \[5\mu V\]   
  done clear
  B)
                         \[50\mu V\]      
  done clear
  C)
         \[5mV\]              
  done clear
  D)
         \[50\,mV\]
  done clear
  View Answer play_arrow

• question_answer65) According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal\[Vs\]the frequency, of the incident radiation gives a straight line whose slope
  A)
  depends on the nature of the metal used
  done clear
  B)
  depends on the intensity of the radiation
  done clear
  C)
  depends both on the intensity of the radiation and the metal used
  done clear
  D)
  is the same for all metals and independent of the intensity of the radiation
  done clear
  View Answer play_arrow

• question_answer66) The work function of a substance is\[4.0\text{ }eV\]. The longest wavelength of light that can cause photoelectron emission from this substance is approximately
  A)
  540 nm    
  done clear
  B)
                         400 nm
  done clear
  C)
         310nm                 
  done clear
  D)
         220 nm
  done clear
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• question_answer67) A charged oil drop is suspended in uniform field of\[3\times {{10}^{4}}V/m,\]so that it neither falls nor rises. The charge on the drop will be (take the mass of the charge \[=9.9\times {{10}^{-15}}kg\text{ }and\text{ }g=10\text{ }m/{{s}^{2}}\])
  A)
  \[3.3\times {{10}^{-18}}C\]         
  done clear
  B)
  \[3.2\times {{10}^{-18}}C\]         
  done clear
  C)
         \[1.6\times {{10}^{-18}}C\]    
  done clear
  D)
         \[4.8\times {{10}^{-18}}C\]
  done clear
  View Answer play_arrow

• question_answer68) A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1. The ratio of their nuclear sizes will be
  A)
  \[{{2}^{1/3}}:1\]              
  done clear
  B)
         \[1:{{3}^{1/2}}\]              
  done clear
  C)
         \[{{3}^{1/2}}:1\]             
  done clear
  D)
         \[1:{{2}^{1/3}}\]
  done clear
  View Answer play_arrow

• question_answer69) The binding energy per nucleon of deuteron\[(_{1}^{2}H)\]and helium nucleus\[(_{2}^{4}He)\]is,\[1.1\,MeV\]and \[7\text{ }MeV,\]respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is
  A)
  \[13.9\text{ }MeV\]    
  done clear
  B)
         \[26.9\text{ }MeV\]       
  done clear
  C)
         \[23.6\text{ }MeV\]        
  done clear
  D)
         \[19.2\text{ }MeV\]
  done clear
  View Answer play_arrow

• question_answer70) An\[\alpha -\]particle of energy\[5\text{ }MeV\]is scattered through\[180{}^\circ \,\]by a fixed uranium nucleus. The distance of the closest approach is of the order of
  A)
  \[1{AA}\]                                          
  done clear
  B)
  \[{{10}^{-10}}cm\]          
  done clear
  C)
  \[{{10}^{-12}}cm\]          
  done clear
  D)
  \[{{10}^{-15}}cm\]
  done clear
  View Answer play_arrow

• question_answer71) When\[n-p-n\]transistor is used as an amplifier
  A)
  electrons move from base to collector
  done clear
  B)
  holes move from emitter to base
  done clear
  C)
  electrons move from collector to base
  done clear
  D)
  holes move from base to emitter
  done clear
  View Answer play_arrow

• question_answer72) For a transistor amplifier in common emitter configuration for load impedance of \[1\,k\Omega ({{h}_{fe}}=50\]and \[{{h}_{oe}}\,=25\,\,\,\mu A/V\]), the current gain is
  A)
  \[-5.2\]                
  done clear
  B)
         \[-15.7\]              
  done clear
  C)
         \[-24.8\]              
  done clear
  D)
         \[-48.78\]
  done clear
  View Answer play_arrow

• question_answer73) A piece of copper and another of germanium are cooled from room temperature to 77 K, the resistance of  
  A)
  each of them increases
  done clear
  B)
  each of them decreases
  done clear
  C)
  copper decreases and germanium increases
  done clear
  D)
  copper increases and germanium decreases
  done clear
  View Answer play_arrow

• question_answer74) The manifestation of band structure in solids is due to
  A)
  Heisenberg's uncertainty principle
  done clear
  B)
  Pauli's exclusion principle
  done clear
  C)
  Bohr's correspondence principle
  done clear
  D)
  Boltzmann's law
  done clear
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• question_answer75) When\[p-n\]junction diode is forward biased, then,
  A)
  the depletion region is reduced and barrier height is increase
  done clear
  B)
  the depletion region is widened and barrier height is reduced
  done clear
  C)
  both the depiction region and barrier height are reduced
  done clear
  D)
  both the depletion region and barrier height are increased
  done clear
  View Answer play_arrow