Solved papers for JEE Main & Advanced AIEEE Solved Paper-2003

done AIEEE Solved Paper-2003 Total Questions - 74

• question_answer1) A particle of mass M and charge Q moving with velocity v describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is     AIEEE  Solved  Paper-2003
  A)
  \[\left( \frac{M{{v}^{2}}}{R} \right)2\pi R\]
  done clear
  B)
                        zero      
  done clear
  C)
  BQ \[2\pi R\]        
  done clear
  D)
                        BQv \[2\pi R\]
  done clear
  View Answer play_arrow

• question_answer2) A particle of charge \[-16\times {{10}^{-18}}C\] moving with velocity \[10m{{s}^{-1}}\] along the x-axis enters a region where a magnetic field of induction B is along the y-axis and an electric field of magnitude \[{{10}^{4}}\] V/m is along the negative z-axis. If the charged particle continues moving along the x-axis, the magnitude of B is     AIEEE  Solved  Paper-2003
  A)
  \[{{10}^{3}}\] Wb / \[{{m}^{2}}\]     
  done clear
  B)
        \[{{10}^{5}}\] Wb/\[{{m}^{2}}\]                
  done clear
  C)
  \[{{10}^{16}}\] Wb/\[{{m}^{2}}\]      
  done clear
  D)
        \[{{10}^{-3}}\] Wb/\[{{m}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer3) A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now, it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T', the ratio T'/T is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{1}{2\sqrt{2}}\]        
  done clear
  B)
                        \[\frac{1}{2}\]                   
  done clear
  C)
  2                                             
  done clear
  D)
  \[\frac{1}{4}\]
  done clear
  View Answer play_arrow

• question_answer4) A magnetic needle lying parallel to a magnetic field requires W unit of work to turn it through \[{{60}^{o}}\]. The torque needed to maintain the needle in this position will be     AIEEE  Solved  Paper-2003
  A)
  \[\sqrt{3}\] W
  done clear
  B)
                        W           
  done clear
  C)
        \[(\sqrt{3}/2)\]W                            
  done clear
  D)
  2 W
  done clear
  View Answer play_arrow

• question_answer5) The magnetic lines of force inside a bar magnet     AIEEE  Solved  Paper-2003
  A)
  are from north-pole to south-pole of the magnet
  done clear
  B)
  do not exist
  done clear
  C)
  depend upon the area of cross-section of the bar magnet
  done clear
  D)
  are from south-pole to north-pole of the magnet
  done clear
  View Answer play_arrow

• question_answer6) Curie temperature is the temperature above which     AIEEE  Solved  Paper-2003
  A)
  a ferromagnetic material becomes paramagnetic
  done clear
  B)
  a paramagnetic material becomes  diamagnetic
  done clear
  C)
  a ferromagnetic material becomes diamagnetic
  done clear
  D)
  a paramagnetic material becomes ferromagnetic
  done clear
  View Answer play_arrow

• question_answer7) A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of \[5\,m/{{s}^{2}}\], the reading of the spring balance will be     AIEEE  Solved  Paper-2003
  A)
  24 N  
  done clear
  B)
                                        74 N      
  done clear
  C)
        15 N                      
  done clear
  D)
  49 N
  done clear
  View Answer play_arrow

• question_answer8) The length of a wire of a potentiometer is 100 cm and the emf of its stand and cell is. E volt. It is employed to measure the emf of a battery whose internal resistance is \[0.5\,\,\Omega \]. If the balance point is obtained at \[1=30\] cm from the positive end, the emf of the battery is           AIEEE  Solved  Paper-2003
  A)
  \[\frac{30\,E}{100.5}\]         
  done clear
  B)
                        \[\frac{30\,E}{100-05}\]
  done clear
  C)
  \[\frac{30\,(E-0.5i)}{100}\], where \[i\] is the current in the potentiometer wire
  done clear
  D)
  \[\frac{30\,E}{100}\]
  done clear
  View Answer play_arrow

• question_answer9) A strip of copper and another of germanium are cooled from room temperature to 80 K. The resistance of   AIEEE  Solved  Paper-2003
  A)
  each of these decreases
  done clear
  B)
  copper strip increases and that of germanium decreases
  done clear
  C)
  copper strip decreases and that of germanium increases
  done clear
  D)
  each of the above increases
  done clear
  View Answer play_arrow

• question_answer10) Consider telecommunication through optical fibres. Which of the following statements is not true?     AIEEE  Solved  Paper-2003
  A)
  Optical fibres can be of graded refractive index
  done clear
  B)
  Optical fibres are subjected to electro- magnetic interference from outside
  done clear
  C)
  Optical fibres have extremely low transmission loss
  done clear
  D)
  Optical fibres may have homogeneous core with a suitable cladding
  done clear
  View Answer play_arrow

• question_answer11) The thermo-emf of a thermocouple is \[25\mu V{{/}^{o}}C\] at room temperature. A galvanometer of \[40\,\Omega \]. resistance, capable of detecting current as low as \[{{10}^{-5}}\] A, is   connected with the thermocouple. The smallest temperature difference that can be detected by this system is     AIEEE  Solved  Paper-2003
  A)
  \[{{16}^{o}}C\]         
  done clear
  B)
                        \[{{12}^{o}}C\]                 
  done clear
  C)
        \[{{8}^{o}}C\]                                   
  done clear
  D)
  \[{{20}^{o}}C\] 
  done clear
  View Answer play_arrow

• question_answer12) The negative Zn-pole of Daniell cell, sending a constant current through a circuit, decreases in mass by \[0.13\]g in 30 min. If the electrochemical equivalent of Zn and Cu are \[32.5\] and \[31.5\] respectively, the increase in the mass of the positive Cu-pole in this time is     AIEEE  Solved  Paper-2003
  A)
  \[0.180\] g      
  done clear
  B)
                        \[0.141\] g
  done clear
  C)
  \[0.126\]g           
  done clear
  D)
                        \[0.242\] g
  done clear
  View Answer play_arrow

• question_answer13) Dimensions of \[\frac{1}{{{\mu }_{0}}\,{{\varepsilon }_{0}}}\], where symbols have their usual meaning, are     AIEEE  Solved  Paper-2003
  A)
  \[[{{L}^{-1}}T]\]    
  done clear
  B)
                                        \[[{{L}^{2}}{{T}^{2}}]\]                  
  done clear
  C)
        \[[{{L}^{2}}{{T}^{-2}}]\]        
  done clear
  D)
                         \[[L{{T}^{-1}}]\]  
  done clear
  View Answer play_arrow

• question_answer14) A circular disc X of radius R is made from an iron plate of thickness t and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then, the relation between the moment of inertia \[{{I}_{X}}\] and \[{{I}_{Y}}\] is
  A)
  \[{{l}_{Y}}=32\,{{l}_{X}}\]                             
  done clear
  B)
  \[{{l}_{Y}}=16\,{{l}_{X}}\]                             
  done clear
  C)
  \[{{l}_{Y}}=\,{{l}_{X}}\]                 
  done clear
  D)
  \[{{l}_{Y}}=\,64{{l}_{X}}\]
  done clear
  View Answer play_arrow

• question_answer15) The time period of a satellite of earth is 5 h. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become     AIEEE  Solved  Paper-2003
  A)
  10 h       
  done clear
  B)
        80 h       
  done clear
  C)
        40 h       
  done clear
  D)
        20 h
  done clear
  View Answer play_arrow

• question_answer16) A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{L}{4}\]                   
  done clear
  B)
        2L                           
  done clear
  C)
  4L                           
  done clear
  D)
  \[\frac{L}{2}\]
  done clear
  View Answer play_arrow

• question_answer17) Which of the following radiations has the least wavelength?     AIEEE  Solved  Paper-2003
  A)
  \[\gamma \]-rays            
  done clear
  B)
  \[\beta \]-rays                                 
  done clear
  C)
  \[\alpha \]-rays                                
  done clear
  D)
  \[X\]-rays
  done clear
  View Answer play_arrow

• question_answer18) When \[{{U}^{238}}\] nucleus originally at rest, decays by emitting an alpha particle having a speed u, the recoil speed of the residual nucleus is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{4\,u}{238}\]                                        
  done clear
  B)
  \[-\frac{4\,u}{238}\]                      
  done clear
  C)
  \[\frac{4\,u}{234}\]        
  done clear
  D)
        \[-\frac{4\,u}{238}\]
  done clear
  View Answer play_arrow

• question_answer19) Two spherical bodies of mass M and 5 M and radii R and 2 R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
  A)
  \[2.5\] R                              
  done clear
  B)
  \[4.5\] R                              
  done clear
  C)
  \[7.5\] R                              
  done clear
  D)
  \[1.5\] R
  done clear
  View Answer play_arrow

• question_answer20) The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in the     AIEEE  Solved  Paper-2003
  A)
  crystal structure
  done clear
  B)
  variation of the number of charge carriers with temperature
  done clear
  C)
  type of bonding
  done clear
  D)
  variation of scattering mechanism with temperature
  done clear
  View Answer play_arrow

• question_answer21) A car moving with a speed of 50 km/h, can be stopped by brakes after atleast 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is     AIEEE  Solved  Paper-2003
  A)
  12m      
  done clear
  B)
        18m      
  done clear
  C)
        24m      
  done clear
  D)
        6m
  done clear
  View Answer play_arrow

• question_answer22) A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of \[{{30}^{o}}\] with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground?              \[[g=10\,m/{{s}^{2}},\sin {{30}^{o}}=1/2,\cos {{30}^{o}}=\sqrt{3}/2]\]
  A)
  \[5.20\] m
  done clear
  B)
                        \[4.33\] m                          
  done clear
  C)
  \[2.60\] m                          
  done clear
  D)
  \[8.66\] m
  done clear
  View Answer play_arrow

• question_answer23) An ammeter reads upto 1 A. Its internal resistance is \[0.81\,\,\Omega \]. To increase the range to 10 A, the value of the required shunt is     AIEEE  Solved  Paper-2003
  A)
  \[0.03\,\,\Omega \]
  done clear
  B)
                        \[0.3\,\,\Omega \]                         
  done clear
  C)
        \[0.9\,\,\Omega \]                         
  done clear
  D)
  \[0.09\,\,\Omega \]
  done clear
  View Answer play_arrow

• question_answer24) The physical quantities not having same dimensions are     AIEEE  Solved  Paper-2003
  A)
  torque and work
  done clear
  B)
  momentum and Planck's constant
  done clear
  C)
  stress and Young's modulus
  done clear
  D)
  speed and \[{{({{\mu }_{0}}-{{\varepsilon }_{0}})}^{-1/2}}\]
  done clear
  View Answer play_arrow

• question_answer25) Three forces start acting C simultaneously   on a particle   moving   with velocity v. These forces are    represented in magnitude and direction by the three sides of a \[\Delta ABC\] (as shown). The particle will now move with velocity                  AIEEE  Solved  Paper-2003
  A)
  less than v
  done clear
  B)
   greater than v  
  done clear
  C)
  \[\left| v \right|\] in the direction of largest force BC
  done clear
  D)
   v remain unchanged
  done clear
  View Answer play_arrow

• question_answer26) Resultant force is zero, as three forces acting on the particle can be represented in magnitude and direction by three sides of a triangle in same order. Hence, by Newton's 2nd law \[\left( F=m\frac{d\,\,v}{dt} \right)\], particle velocity (v) will be same. (\[\because \] if F = 0, v = constant) If the electric flux entering and leaving an enclosed surface respectively is \[{{\phi }_{1}}\] and \[{{\phi }_{2}}\], the electric charge inside the surface will be     AIEEE  Solved  Paper-2003
  A)
  \[({{\phi }_{2}}-{{\phi }_{1}}){{\varepsilon }_{0}}\]        
  done clear
  B)
  \[({{\phi }_{1}}+{{\phi }_{2}})/{{\varepsilon }_{0}}\]                        
  done clear
  C)
  \[({{\phi }_{2}}-{{\phi }_{1}})/{{\varepsilon }_{0}}\]       
  done clear
  D)
        \[({{\phi }_{1}}+{{\phi }_{2}}){{\varepsilon }_{0}}\]
  done clear
  View Answer play_arrow

• question_answer27) A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is \[0.2\]. The weight of the block is                  AIEEE  Solved  Paper-2003
  A)
          20 N      
  done clear
  B)
        50 N                      
  done clear
  C)
        100 N                    
  done clear
  D)
        2 N
  done clear
  View Answer play_arrow

• question_answer28) A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10s. Then, the coefficient of friction is     AIEEE  Solved  Paper-2003
  A)
  \[0.02\]                               
  done clear
  B)
  \[0.03\]                               
  done clear
  C)
        \[0.06\]               
  done clear
  D)
  \[0.01\]
  done clear
  View Answer play_arrow

• question_answer29) Consider the following two statements A. Linear momentum of a system of particles is zero. B. Kinetic energy of a system of particles is zero. Then,     AIEEE  Solved  Paper-2003
  A)
  A does not imply B and B does not imply A
  done clear
  B)
  A implies B but B does not imply A
  done clear
  C)
  A does not imply B but B implies A
  done clear
  D)
  A implies B and B implies A
  done clear
  View Answer play_arrow

• question_answer30) Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon     AIEEE  Solved  Paper-2003
  A)
  the rates at which currents are changing in the two coils
  done clear
  B)
  relative position and orientation of the two coils
  done clear
  C)
  time for which current is flown
  done clear
  D)
  the currents in the two coils
  done clear
  View Answer play_arrow

• question_answer31) . A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{P\,m}{M+m}\]                  
  done clear
  B)
  \[\frac{P\,m}{M-m}\]                   
  done clear
  C)
  P                            
  done clear
  D)
  \[\frac{P\,M}{M+m}\]
  done clear
  View Answer play_arrow

• question_answer32) A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then, the true statement about the scale reading is     AIEEE  Solved  Paper-2003
  A)
  both the scales read M kg each
  done clear
  B)
  the scale of the lower one reads M kg and of the upper one zero
  done clear
  C)
  the reading of the two scales can be anything but the sum of the readings will be M kg
  done clear
  D)
  both the scales read M/2 kg
  done clear
  View Answer play_arrow

• question_answer33) A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then, the elastic energy stored in the wire is     AIEEE  Solved  Paper-2003
  A)
  \[0.2\] J                               
  done clear
  B)
  10 J                        
  done clear
  C)
  20 J                                        
  done clear
  D)
  \[0.1\]J
  done clear
  View Answer play_arrow

• question_answer34) The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of \[{{45}^{o}}\] with the vertical, the escape velocity will be     AIEEE  Solved  Paper-2003
  A)
  \[11\sqrt{2}\] km/s        
  done clear
  B)
  22 km/s                               
  done clear
  C)
  11 km/s               
  done clear
  D)
        \[11\sqrt{2}\] m/s 
  done clear
  View Answer play_arrow

• question_answer35) A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes \[5T/3\], then the ratio of \[\frac{m}{M}\] is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{3}{5}\]                                   
  done clear
  B)
        \[\frac{25}{9}\]                                
  done clear
  C)
  \[\frac{16}{9}\]                
  done clear
  D)
        \[\frac{5}{3}\]
  done clear
  View Answer play_arrow

• question_answer36) "Heat cannot be itself flow from a body at lower temperature to a body at higher temperature"  is  a  statement  or consequence of     AIEEE  Solved  Paper-2003
  A)
  second law of thermodynamics
  done clear
  B)
  conservation of momentum
  done clear
  C)
  conservation of mass
  done clear
  D)
  first law of thermodynamics
  done clear
  View Answer play_arrow

• question_answer37) Two particles A and B of equal masses are suspended from two massless springs of spring constants \[{{k}_{1}}\] and \[{{k}_{2}}\], respectively. If the   maximum   velocities,   during oscillations are equal, the ratio of amplitudes of A and B is     AIEEE  Solved  Paper-2003
  A)
  \[\sqrt{{{k}_{1}}/{{k}_{2}}}\]         
  done clear
  B)
                        \[{{k}_{1}}/{{k}_{2}}\]                   
  done clear
  C)
  \[\sqrt{{{k}_{2}}/{{k}_{1}}}\]                      
  done clear
  D)
  \[{{k}_{2}}/{{k}_{1}}\] \[\]
  done clear
  View Answer play_arrow

• question_answer38) The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is     AIEEE  Solved  Paper-2003
  A)
  \[11%\]                               
  done clear
  B)
  \[21%\]                               
  done clear
  C)
        \[42%\]                               
  done clear
  D)
        \[10.5%\]
  done clear
  View Answer play_arrow

• question_answer39) The displacement y of a wave travelling in the x-direction is given by \[y={{10}^{-4}}\sin \left( 600\,t-2x+\frac{\pi }{3} \right)\] metre where, \[x\] is expressed in metres and t in seconds. The speed of the wave motion, in \[m{{s}^{-1}}\] is     AIEEE  Solved  Paper-2003
  A)
  300     
  done clear
  B)
        600        
  done clear
  C)
        1200                      
  done clear
  D)
        200
  done clear
  View Answer play_arrow

• question_answer40) When the current changes from \[+2\] A to \[-2\] A in \[0.05\] s, an emf of 8 V is induced in a coil. The coefficient of self-induction of the coil is     AIEEE  Solved  Paper-2003
  A)
  \[0.2\] H              
  done clear
  B)
        \[0.4\] H                              
  done clear
  C)
  \[0.8\] H                              
  done clear
  D)
  \[0.1\] H
  done clear
  View Answer play_arrow

• question_answer41) In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is     AIEEE  Solved  Paper-2003
  A)
  \[Q/2\]                
  done clear
  B)
        \[Q/\sqrt{3}\]                   
  done clear
  C)
  \[Q/\sqrt{2}\]
  done clear
  D)
  Q
  done clear
  View Answer play_arrow

• question_answer42) The core of any transformer is laminated so as to     AIEEE  Solved  Paper-2003
  A)
  reduce the energy loss due to eddy currents
  done clear
  B)
  make it light weight
  done clear
  C)
  make it robust and strong
  done clear
  D)
  increase the secondary voltage
  done clear
  View Answer play_arrow

• question_answer43) Let F be the force acting on a particle having position vector r and \[\tau \] be the torque of this force about the origin. Then,     AIEEE  Solved  Paper-2003
  A)
  \[r\,.\,\tau =0\] and \[F\,.\,\,\tau \ne 0\]            
  done clear
  B)
  \[r\,.\,\,\tau \ne 0\] and \[F\,.\,\,\tau =0\]
  done clear
  C)
  \[r\,.\,\,\tau \ne 0\] and \[F\,.\,\,\tau \ne 0\]
  done clear
  D)
  \[r\,.\,\,\tau =0\] and \[F\,.\,\,\tau =0\]
  done clear
  View Answer play_arrow

• question_answer44) A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 min, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is     AIEEE  Solved  Paper-2003
  A)
  \[0.4\,ln\,2\]         
  done clear
  B)
        \[0.2\,\ln \,2\]                  
  done clear
  C)
        \[0.1\,\ln \,2\]                  
  done clear
  D)
        \[0.8\,\ln \,2\]
  done clear
  View Answer play_arrow

• question_answer45) A nucleus with \[Z=92\] emits the following in a sequence: \[\alpha ,\alpha ,{{\beta }^{-}},{{\beta }^{-}},\alpha ,\alpha ,\alpha ,\alpha ;{{\beta }^{-}},{{\beta }^{-}},\alpha ,{{\beta }^{+}},{{\beta }^{+}},\alpha \]. The Z of the resulting nucleus is     AIEEE  Solved  Paper-2003
  A)
  76          
  done clear
  B)
        78       
  done clear
  C)
        82          
  done clear
  D)
        74
  done clear
  View Answer play_arrow

• question_answer46) Which of the following cannot be emitted by radioactive substances during their decay?     AIEEE  Solved  Paper-2003
  A)
   Protons              
  done clear
  B)
  Neutrinos                           
  done clear
  C)
  Helium nuclei     
  done clear
  D)
        Electrons
  done clear
  View Answer play_arrow

• question_answer47) A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be                    AIEEE  Solved  Paper-2003
  A)
  1 A                         
  done clear
  B)
  \[1.5\] A  
  done clear
  C)
                        2 A                         
  done clear
  D)
  1 A
  done clear
  View Answer play_arrow

• question_answer48) A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor     AIEEE  Solved  Paper-2003
  A)
  decreases                          
  done clear
  B)
  remains unchanged
  done clear
  C)
  becomes infinite
  done clear
  D)
  Increases
  done clear
  View Answer play_arrow

• question_answer49) The displacement of a particle varies according to the relation \[x=4\,(\cos \pi \,t+\sin \pi t)\]. The amplitude of the particle is     AIEEE  Solved  Paper-2003
  A)
  \[-4\]    
  done clear
  B)
                        4                             
  done clear
  C)
  \[4\sqrt{2}\]
  done clear
  D)
  8
  done clear
  View Answer play_arrow

• question_answer50) A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P at a distance R/2 from the centre of the shell is     AIEEE  Solved  Paper-2003
  A)
  \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}\]       
  done clear
  B)
                        \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}-\frac{2q}{4\pi {{\varepsilon }_{0}}R}\]     
  done clear
  C)
  \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}+\frac{q}{4\pi {{\varepsilon }_{0}}R}\] 
  done clear
  D)
        \[\frac{(q+Q)}{4\pi {{\varepsilon }_{0}}R}\frac{2}{R}\]
  done clear
  View Answer play_arrow

• question_answer51) The work done in placing a charge of \[8\times {{10}^{-18}}C\] on a condenser of capacity \[100\mu F\] is     AIEEE  Solved  Paper-2003
  A)
  \[16\times {{10}^{-32}}\] J          
  done clear
  B)
  \[3.1\times {{10}^{-26}}\] J                         
  done clear
  C)
  \[4\times {{10}^{-10}}\] J       
  done clear
  D)
        \[32\times {{10}^{-32}}\] J
  done clear
  View Answer play_arrow

• question_answer52) The coordinates of a moving particle at any time t are given by \[x=\alpha {{t}^{3}}\] and \[y=\beta {{t}^{3}}\]. The speed of the particle at time t is given by     AIEEE  Solved  Paper-2003
  A)
  \[3t\,\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]  
  done clear
  B)
        \[3{{t}^{2}}\,\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
  done clear
  C)
        \[{{t}^{2}}\,\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]      
  done clear
  D)
        \[\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer53) During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio, \[{{C}_{p}}/{{C}_{V}}\] for the gas is     AIEEE  Solved  Paper-2003
  A)
  4/3     
  done clear
  B)
                        2                             
  done clear
  C)
        5/3        
  done clear
  D)
        3/2
  done clear
  View Answer play_arrow

• question_answer54) Which of the following parameters does not characterise the thermodynamic state of matter?     AIEEE  Solved  Paper-2003
  A)
  Temperature
  done clear
  B)
                        Pressure                             
  done clear
  C)
  Work           
  done clear
  D)
  Volume
  done clear
  View Answer play_arrow

• question_answer55) A Carnot engine takes \[3\times {{10}^{6}}\] cal of heat from a reservoir at \[{{627}^{o}}C\] and gives it to a sink at \[{{27}^{o}}C\]. The work done by the engine is     AIEEE  Solved  Paper-2003
  A)
  \[42\times {{10}^{6}}\]J     
  done clear
  B)
                        \[8.4\times {{10}^{6}}\]J              
  done clear
  C)
  \[16.8\times {{10}^{6}}\] J     
  done clear
  D)
                        Zero
  done clear
  View Answer play_arrow

• question_answer56) A spring of spring constant \[5\times {{10}^{3}}\,N/m\] is stretched initially by 5 cm from the unstretched position. Then, the work required to stretch it further by another 5 cm is     AIEEE  Solved  Paper-2003
  A)
  \[12.50\]N-m   
  done clear
  B)
        \[18.75\]N-m    
  done clear
  C)
                        \[25.00\] N-m        
  done clear
  D)
        \[6.25\] N-m
  done clear
  View Answer play_arrow

• question_answer57) A metal wire of linear mass density of \[9.8\] g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 m apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. The frequency n of the alternating source is     AIEEE  Solved  Paper-2003
  A)
  50 Hz    
  done clear
  B)
        100 Hz                  
  done clear
  C)
  200 Hz                  
  done clear
  D)
  25 Hz
  done clear
  View Answer play_arrow

• question_answer58) A tuning fork of known frequency 256 Hz makes 5 beats/s with the vibrating string of a piano. The beat frequency decreases to 2 beats/s when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was     AIEEE  Solved  Paper-2003
  A)
  (256 + 2) Hz       
  done clear
  B)
        (256 - 2) Hz                         
  done clear
  C)
  (256 - 5) Hz       
  done clear
  D)
        (256 + 5) Hz
  done clear
  View Answer play_arrow

• question_answer59) A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement \[x\]. Which of the following statements is true?     AIEEE  Solved  Paper-2003
  A)
  KE is maximum when \[x=0\]
  done clear
  B)
  TE is zero when \[x=0\]
  done clear
  C)
  KE is maximum when \[x\] is maximum
  done clear
  D)
  PE is maximum when \[x=0\]
  done clear
  View Answer play_arrow

• question_answer60) In the nuclear fusion reaction,                 \[_{1}^{2}H+_{1}^{3}H\to _{2}^{4}He+n\] given that the repulsive potential energy between the two nuclei is \[7.7\times {{10}^{-14}}\] J the temperature at which the gases must be heated to initiate the reaction is nearly [Boltzmann's constant \[k=1.38\times {{10}^{-23}}J/K\]]     AIEEE  Solved  Paper-2003
  A)
                          \[{{10}^{7}}\] K  
  done clear
  B)
                        \[{{10}^{5}}\] K                                
  done clear
  C)
  \[{{10}^{3}}\] K                                
  done clear
  D)
  \[{{10}^{9}}\] K
  done clear
  View Answer play_arrow

• question_answer61) Which of the following atoms has the lowest ionisation potential?     AIEEE  Solved  Paper-2003
  A)
  \[_{7}^{14}N\]  
  done clear
  B)
                                        \[_{55}^{133}Cs\]           
  done clear
  C)
        \[_{18}^{40}Ar\]                              
  done clear
  D)
        \[_{8}^{16}O\]
  done clear
  View Answer play_arrow

• question_answer62) The wavelengths involved in the spectrum of deuterium \[\left( _{1}^{2}D \right)\] are slightly different from that of hydrogen spectrum, because     AIEEE  Solved  Paper-2003
  A)
  sizes of the two nuclei are different
  done clear
  B)
  nuclear forces are different in the two cases
  done clear
  C)
  masses of the two nuclei are different
  done clear
  D)
  attraction between the electron and the nucleus is different in the two cases
  done clear
  View Answer play_arrow

• question_answer63) In the middle of the depletion layer of reverse biased p-n junction, the     AIEEE  Solved  Paper-2003
  A)
  electric field is zero        
  done clear
  B)
  potential is maximum
  done clear
  C)
  electric field is maximum
  done clear
  D)
  potential is zero
  done clear
  View Answer play_arrow

• question_answer64) If the binding energy of the electron in a hydrogen atom is \[13.6\] eV, the energy required to remove the electron from the first excited state of \[L{{i}^{2+}}\] is     AIEEE  Solved  Paper-2003
  A)
  \[30.6\] eV
  done clear
  B)
  \[13.6\] eV                         
  done clear
  C)
  \[3.4\] eV                           
  done clear
  D)
  \[122.4\] eV
  done clear
  View Answer play_arrow

• question_answer65) A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to     AIEEE  Solved  Paper-2003
  A)
  \[{{t}^{3/4}}\]                                   
  done clear
  B)
        \[{{t}^{3/2}}\]   
  done clear
  C)
        \[{{t}^{1/4}}\]                   
  done clear
  D)
        \[{{t}^{1/2}}\]
  done clear
  View Answer play_arrow

• question_answer66) A rocket with a lift-off mass \[3.5\times {{10}^{4}}\] kg is blasted   upwards   with   an   initial acceleration of \[10\,m/{{s}^{2}}\] . Then, the initial thrust of the blast is     AIEEE  Solved  Paper-2003
  A)
  \[3.5\times {{10}^{5}}\] N   
  done clear
  B)
        \[7.0\times {{10}^{5}}\] N                           
  done clear
  C)
  \[14.0\times {{10}^{5}}\] N      
  done clear
  D)
        \[1.75\times {{10}^{5}}\] N
  done clear
  View Answer play_arrow

• question_answer67) To demonstrate the phenomenon of interference, we require two sources which emit radiations of     AIEEE  Solved  Paper-2003
  A)
  nearly the same frequency
  done clear
  B)
  the same frequency
  done clear
  C)
  different wavelength
  done clear
  D)
  the same frequency and having a definite phase relationship
  done clear
  View Answer play_arrow

• question_answer68) Three charges \[-{{q}_{1}},+{{q}_{2}}\] and \[-{{q}_{3}}\] are placed as shown in the figure. The x-component of the force on \[-{{q}_{1}}\] is proportional to                  AIEEE  Solved  Paper-2003
  A)
  \[\frac{{{q}_{2}}}{{{b}^{2}}}-\frac{{{q}_{3}}}{{{a}^{2}}}\cos \theta \]     
  done clear
  B)
        \[\frac{{{q}_{2}}}{{{b}^{2}}}+\frac{{{q}_{3}}}{{{a}^{2}}}\sin \theta \]
  done clear
  C)
                        \[\frac{{{q}_{2}}}{{{b}^{2}}}+\frac{{{q}_{3}}}{{{a}^{2}}}\cos \theta \]      
  done clear
  D)
        \[\frac{{{q}_{2}}}{{{b}^{2}}}-\frac{{{q}_{3}}}{{{a}^{2}}}\sin \theta \]
  done clear
  View Answer play_arrow

• question_answer69) A 220 V, 1000 W bulb is connected across a 110 V mains supply. The power consumed will be     AIEEE  Solved  Paper-2003
  A)
  750 W                   
  done clear
  B)
        500 W                   
  done clear
  C)
  250 W           
  done clear
  D)
  1000 W
  done clear
  View Answer play_arrow

• question_answer70) The image formed by an objective of a compound microscope is     AIEEE  Solved  Paper-2003
  A)
  virtual and diminished
  done clear
  B)
  real and diminished
  done clear
  C)
  real and enlarged
  done clear
  D)
  virtual and enlarged
  done clear
  View Answer play_arrow

• question_answer71) The earth radiates in the infrared region of the spectrum. The spectrum is correctly given by     AIEEE  Solved  Paper-2003
  A)
  Rayleigh Jeans law
  done clear
  B)
  Planck's law of radiation
  done clear
  C)
  Stefan's law of radiation
  done clear
  D)
  Wien's law
  done clear
  View Answer play_arrow

• question_answer72) To get three images of a single object, one should have two plane mirrors at an angle of     AIEEE  Solved  Paper-2003
  A)
  \[{{60}^{o}}\]                                    
  done clear
  B)
  \[{{90}^{o}}\]                                    
  done clear
  C)
  \[{{120}^{o}}\]                                 
  done clear
  D)
  \[{{30}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer73) According to Newton's law of cooling, the rate of cooling of a body is proportional to \[{{(\Delta \theta )}^{n}}\], where \[\Delta \theta \] is the difference of the temperature of the body and the surroundings and n is equal to     AIEEE  Solved  Paper-2003
  A)
  2            
  done clear
  B)
                        3                                             
  done clear
  C)
  4                                             
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer74) The length of a given cylindrical wire is increased by \[100%\]. Due to the consequent decrease in diameter, the change in the resistance of the wire will be     AIEEE  Solved  Paper-2003
  A)
                                          \[200%\]          
  done clear
  B)
                        \[100%\]                             
  done clear
  C)
  \[50%\]                               
  done clear
  D)
  \[300%\] 
  done clear
  View Answer play_arrow