aipmt–Past papersPHYSICS- UNSOLVED PAPER - 1996
SECTION – I (Total Marks : 50)Single Correct Answer TypeThere are five parts in this question. Four choices are given for each part and one of them is correct.  Indicate  you choice of  the correct  answer for  each part in  your answer-book by  writing  the letter (a), (b), (c) or (d)  whichever  is appropriate
01ProblemThe  minimum  wavelength  of the X-rays  produced  by electrons  accelerated  through  a potential  difference  of V volts  is directly  proportion toa.1/vb. √vc. V2d.1/√v
Problem02A beam of  electrons is moving  with constant  velocity  in a region  having  electric  and magnetic  fields  of strength  20 Vm-1 and 0.5 T at right  angles  to the  direction  of motion of the  electrons.  What  is the velocity  of the  electrons?8 ms-15.5 ms-120 ms-140 ms-1
Problem03An electron beam  has a  kinetic  energy  equal  to  100 eV.  Find its   wavelength  associated  with a  beam,  if mass of  electron  = 9.1 x 10-31 kg and  1 eV  = 1.6 x 10-19 J/eV. (Planck’s  constant  = 6.6 x 10-34 J-s)24. 6 Å0.12 Å1.2 Å6.3 Å.
Problem04A man fires  a bullet  of mass  200 gm at  speed of  5 m/s. the gun is  of one kg mass. By what  velocity  the gun   rebounds  backward?1 m/s0.01m/s0.1m/s10 m/s.
Problem05In  a Fresnel  baptism  experiment,  the two positions  of lens give separation  between  the slits  as 16 cm  and 9 cm respectively. What is the  actual  distance  of  separation?13 cm14 cm12.5 cm12 cm.
Problem06A 10 eV electron is circulating  in a plane  at right  angles to a uniform  field  at magnetic  induction  10-4Wb/m2 (= 1.0 gauss), the orbital  radius  of  electron is 11 cm18 cm12 cm16 cm.
Problem07A linear  harmonic  oscillator  of force  constant  2 x 106 N/m and amplitude  0.01 m has  a total  mechanical  energy  of  160 J. Its P.E. is  160 JP.E. is zero P.E. is  100 JP.E. is 120 J
Problem08When  NPN transistor  is used  as an amplifier, thenElectrons  move  from  collector  to baseHoles  move from  base to  emitter Electrons  move from  base to  collector Electrons  move from emitter  to base.
Problem09When  arsenic is  added  as an  impurity  to silicon,  the resulting  material isn-type  conductor n-type  semiconductor p-type semiconductor none of these.
Problem10When using  a triode, as an  amplifier,  the electrons  are emitted byGrid and collected  by cathode only Cathode and collected by the anode  only Anode and collected by  cathode only Anode  and collected  by the gird  and by  cathode.
Problem11The energy  of a hydrogen  atom  in its ground state  is-13.6 eV. The energy  of the level  corresponding  to the  quantum number n = 2 in  the hydrogen  atom is-0.54 eV-3.4 eV-2.72 eV-0.85 eV.
Problem12According  to Bohr’s  principle,  the relation between  principal  quantum  number (n) and   radius of orbit  isa. b.c.d.
Problem13In  a  discharge  tube  at  0.02 mm, there is  formation  ofCrooke’s dark  spaceFaraday’s  dark spaceBoth space  partly None of these
Problem14A metal  ring is  held horizontally  and bar magnet  is dropped  through  the ring with its length along  the axis  of the ring.  The acceleration of the falling  magnet isMore than gEqual to gLess than  gEither ‘a’ or ‘c’.
Problem15The magnetic  field dB due to a small  current  element  dl at  a distance  and element  carrying  current I isa.b.c.d. 
Problem16The energy  stored in a capacitor  of capacity C and  potential  V is given by a.CV/2b. C2V2/2c. CV2/2d. C2V/2
Problem17A point   charge + q is  placed  at the mid-point of  cube  of side l. The electric flux  emerging  from the  cube is a.b.c.    zerod.
Problem18An electron of mass m  and charge e is  accelerated  from  rest through  a potential  difference V in  vacuum.  Its final  velocity  will bea.  √2eV/mb.  √eV/mc.  2V/2md.  eV/m
Problem19Light  travels  through  a glass  plate  of thickness t  and having  a refractive  index . If c  is the velocity  of light in  vacuum,  the time taken by  light  to travel this thickness of  glass is a. t/μcb. μt/cc. Tμcd. tc/μ
Problem20The  work  done in  turning  a magnet  of  magnetic  moment M by  an angle  of 900 from the  meridian,  is n  times  the corresponding  work done to turn  it through  an angle  of 600. The value  of n is  given  by1/21/421.
Problem21A ray of light  from  a denser  medium  strikes  a rare  medium  as shown  in figure.  The reflected and   refracted rays makes an  angle  of 900 with each  other.  The angles of  refection  and  refraction are r and r’.  The  critical  angle would besin-1 (tan r)tan-1 (sin r)sin-1 (tan r)tan-1 (sin r)
Problem22At 0 K  which of the following  properties of  a gas will be zero ?Vibration  energy Density Kinetic energy Potential  energy.
Problem23The refractive  index  of water is 1.33.  What will be  the speed  of light in water ?4 x 108 m/s1.33 x 108 m/s3 x 108 m/s2.25 x 108 m/s
Problem24Two sound  waves  having  a  phase  difference of  600 have  path difference  of a.λ/6b. λ/3c. 21d. λ/2
Problem25A diatomic  gas  initially at  180C is  compressed  adiabatically  to one  eighth of its   original  volume.  The temperature  after compression  will be395.40C1440C180C887.40C
Problem26An ideal gas,   undergoing  adiabatic   change,  has which of the following  pressure  temperature  relationship?              = constant               = constant               = constant              = constant
Problem27A truth   table is give.  Which of the following  has this type  of truth  table?AND gateOR gateXOR gateNOR gate
Problem28This symbol  representsAND gateNOR gateNAND gateOR gate.
Problem29The value of  critical  temperature  in terms  of Van der Waals’ constant a  and b is  given by a.b.c.d.
Problem30Two  vectors   are such  that . The  angle between the two  vectors will be180000600900
Problem31A nucleus  ruptures  into  two nuclear  parts,  which  have their  velocity  ratio equal to  2 : 1. What  will be the  ratio  of their  nuclear size  (nuclear  radius)?31/2 : 11 : 31/221/3 : 11 : 21/3
Problem32A moving   body of  mass m and  velocity  3 km/hour  collides  with a rest body  of mass 2m and  sticks to it. Now  the  combined  mass starts  to move.  What  will be  the combined  velocity ?3km/hour4km/hour1 km/hour2 km/hour
Problem33The kinetic  energy (Ek) of   a  photoelectron  varies  with the frequency  (v) of the  incident  radiation as  which of  the following  graph?a.b.c.d.
Problem34A ball  is  dropped  from a spacecraft  revolving  around  the earth  at a height of  120 km. What will happen  to the ball?It will  fall down to  the earth  gradually It will  go very  far in  the space It will  continue to move with the  same speed  along the original  orbit of  spacecraft It will move  with the same speed,  tangentially  to the  spacecraft.
Problem35If a photon has  velocity  c and  frequency v,  then  which of the following  represents its wavelength?a. Hv/c2b. hvc. hc/Ed. hv/c
Problem36The  dimensions  of  impulse are  equal to  that ofPressure Linear  momentumForceAngular  momentum.
Problem37The equation  of  a sound wave is  y =0.0015 sin  (62.4x + 316t).  Find the wavelength  of this wave 0.3 unit0.2 unit0.1unitcannot be  calculated.
Problem38A  force  vector  applied  on a mass is represented  as   and accelerates  with 1  m/s2. What will be the mass of  the body?a.10 kgb.20 kgc.10√2kgd. 2√10kg
Problem39A body dropped from a height  h with initial velocity zero, strikes the ground with  a  velocity 3 m/s. Another body of same mass dropped from the same height h with an initial velocity of 4 m/s. Find the final velocity of second mass, with which it strikes the ground5m/s12 m/s3 m/s4 m/s.
Problem40A particle starts with S.H.M.  from the mean position as shown in the fig. Below. Its  amplitude  is A and its time period is T. At  one time,  its speed  is half  that of the  maximum  speed.  What is  this  displacement?a.2A/√3b. 3A/√2c.√2A/3d.√3A/2
Problem41What will be  the  formulae  of mass of  the earth in  terms  of  g, R and G?a.b.c.d.
Problem42The  velocity  of photons  is proportional  to (where v = frequency)a.1/√vb. V2c. vd. √v
Problem43If  a  convex  lens of  focal  length  80 cm and a  concave  lens of  focal  length 50 cm are   combined  together,  what will  be their  resulting  power ?+ 7.5 D-0.75 D+ 6. 5 D-6.5 D.
Problem44The  density  of a cube  is measured by  meausuring  its mass and length  of its  sides.  If the maximum  error in the measurement  of mass and  lengths  are  3% and 2%  respectively,  the maximum  error in the  measurement  of density  would be12%14 %7%9 %.
Problem45An  equation  is given  here  where  P = Pressure,  V = Volume and  = Absolute  temperature.  If a and b are constants, the  dimensions of  ‘a’  will beML-5T-1ML5T1ML5T2M-1L5T2.
Problem46Which of the  following   dimensions will be  the same as  that  of time ?a. L/Rb. C/Lc.LCd. R/L
Problem47Two equal  electric  currents  are flowing  perpendicular to  each other shown in  the figure. AB and CD are perpendicular  to each other and symmetrically  placed  with respect  to the currents.  Where do we expect the  resultant  magnetic  field  to be zero?On CDOn ABOn both  OD and BOOn both  AB and CD.
Problem48A body  is whirled in   a horizontal  circle  of radius  20 cm.  It has an angular velocity of  10 rad/s.  What  is its  linear  velocity  at any  point  on circular  path ?20 m/s√2     m/s10 m/s2 m/s.
Problem49A  10 N  force  is applied  on a body  produce  in it an  acceleration of  1 m/s2. The mass  of the body  is 15 kg20 kg10 kg5 kg.
Problem50What will be the  equivalent resistance  between  the two  points  A and D?30Ω40 Ω10 Ω10 Ω
For solution visit www.vasista.net

AIPMT Physics 1996

  • 1.
  • 2.
    SECTION – I(Total Marks : 50)Single Correct Answer TypeThere are five parts in this question. Four choices are given for each part and one of them is correct. Indicate you choice of the correct answer for each part in your answer-book by writing the letter (a), (b), (c) or (d) whichever is appropriate
  • 3.
    01ProblemThe minimum wavelength of the X-rays produced by electrons accelerated through a potential difference of V volts is directly proportion toa.1/vb. √vc. V2d.1/√v
  • 4.
    Problem02A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength 20 Vm-1 and 0.5 T at right angles to the direction of motion of the electrons. What is the velocity of the electrons?8 ms-15.5 ms-120 ms-140 ms-1
  • 5.
    Problem03An electron beam has a kinetic energy equal to 100 eV. Find its wavelength associated with a beam, if mass of electron = 9.1 x 10-31 kg and 1 eV = 1.6 x 10-19 J/eV. (Planck’s constant = 6.6 x 10-34 J-s)24. 6 Å0.12 Å1.2 Å6.3 Å.
  • 6.
    Problem04A man fires a bullet of mass 200 gm at speed of 5 m/s. the gun is of one kg mass. By what velocity the gun rebounds backward?1 m/s0.01m/s0.1m/s10 m/s.
  • 7.
    Problem05In aFresnel baptism experiment, the two positions of lens give separation between the slits as 16 cm and 9 cm respectively. What is the actual distance of separation?13 cm14 cm12.5 cm12 cm.
  • 8.
    Problem06A 10 eVelectron is circulating in a plane at right angles to a uniform field at magnetic induction 10-4Wb/m2 (= 1.0 gauss), the orbital radius of electron is 11 cm18 cm12 cm16 cm.
  • 9.
    Problem07A linear harmonic oscillator of force constant 2 x 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its P.E. is 160 JP.E. is zero P.E. is 100 JP.E. is 120 J
  • 10.
    Problem08When NPNtransistor is used as an amplifier, thenElectrons move from collector to baseHoles move from base to emitter Electrons move from base to collector Electrons move from emitter to base.
  • 11.
    Problem09When arsenicis added as an impurity to silicon, the resulting material isn-type conductor n-type semiconductor p-type semiconductor none of these.
  • 12.
    Problem10When using a triode, as an amplifier, the electrons are emitted byGrid and collected by cathode only Cathode and collected by the anode only Anode and collected by cathode only Anode and collected by the gird and by cathode.
  • 13.
    Problem11The energy of a hydrogen atom in its ground state is-13.6 eV. The energy of the level corresponding to the quantum number n = 2 in the hydrogen atom is-0.54 eV-3.4 eV-2.72 eV-0.85 eV.
  • 14.
    Problem12According toBohr’s principle, the relation between principal quantum number (n) and radius of orbit isa. b.c.d.
  • 15.
    Problem13In a discharge tube at 0.02 mm, there is formation ofCrooke’s dark spaceFaraday’s dark spaceBoth space partly None of these
  • 16.
    Problem14A metal ring is held horizontally and bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet isMore than gEqual to gLess than gEither ‘a’ or ‘c’.
  • 17.
    Problem15The magnetic field dB due to a small current element dl at a distance and element carrying current I isa.b.c.d. 
  • 18.
    Problem16The energy stored in a capacitor of capacity C and potential V is given by a.CV/2b. C2V2/2c. CV2/2d. C2V/2
  • 19.
    Problem17A point charge + q is placed at the mid-point of cube of side l. The electric flux emerging from the cube is a.b.c. zerod.
  • 20.
    Problem18An electron ofmass m and charge e is accelerated from rest through a potential difference V in vacuum. Its final velocity will bea. √2eV/mb. √eV/mc. 2V/2md. eV/m
  • 21.
    Problem19Light travels through a glass plate of thickness t and having a refractive index . If c is the velocity of light in vacuum, the time taken by light to travel this thickness of glass is a. t/μcb. μt/cc. Tμcd. tc/μ
  • 22.
    Problem20The work done in turning a magnet of magnetic moment M by an angle of 900 from the meridian, is n times the corresponding work done to turn it through an angle of 600. The value of n is given by1/21/421.
  • 23.
    Problem21A ray oflight from a denser medium strikes a rare medium as shown in figure. The reflected and refracted rays makes an angle of 900 with each other. The angles of refection and refraction are r and r’. The critical angle would besin-1 (tan r)tan-1 (sin r)sin-1 (tan r)tan-1 (sin r)
  • 24.
    Problem22At 0 K which of the following properties of a gas will be zero ?Vibration energy Density Kinetic energy Potential energy.
  • 25.
    Problem23The refractive index of water is 1.33. What will be the speed of light in water ?4 x 108 m/s1.33 x 108 m/s3 x 108 m/s2.25 x 108 m/s
  • 26.
    Problem24Two sound waves having a phase difference of 600 have path difference of a.λ/6b. λ/3c. 21d. λ/2
  • 27.
    Problem25A diatomic gas initially at 180C is compressed adiabatically to one eighth of its original volume. The temperature after compression will be395.40C1440C180C887.40C
  • 28.
    Problem26An ideal gas, undergoing adiabatic change, has which of the following pressure temperature relationship? = constant = constant = constant = constant
  • 29.
    Problem27A truth table is give. Which of the following has this type of truth table?AND gateOR gateXOR gateNOR gate
  • 30.
    Problem28This symbol representsAND gateNOR gateNAND gateOR gate.
  • 31.
    Problem29The value of critical temperature in terms of Van der Waals’ constant a and b is given by a.b.c.d.
  • 32.
    Problem30Two vectors are such that . The angle between the two vectors will be180000600900
  • 33.
    Problem31A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2 : 1. What will be the ratio of their nuclear size (nuclear radius)?31/2 : 11 : 31/221/3 : 11 : 21/3
  • 34.
    Problem32A moving body of mass m and velocity 3 km/hour collides with a rest body of mass 2m and sticks to it. Now the combined mass starts to move. What will be the combined velocity ?3km/hour4km/hour1 km/hour2 km/hour
  • 35.
    Problem33The kinetic energy (Ek) of a photoelectron varies with the frequency (v) of the incident radiation as which of the following graph?a.b.c.d.
  • 36.
    Problem34A ball is dropped from a spacecraft revolving around the earth at a height of 120 km. What will happen to the ball?It will fall down to the earth gradually It will go very far in the space It will continue to move with the same speed along the original orbit of spacecraft It will move with the same speed, tangentially to the spacecraft.
  • 37.
    Problem35If a photonhas velocity c and frequency v, then which of the following represents its wavelength?a. Hv/c2b. hvc. hc/Ed. hv/c
  • 38.
    Problem36The dimensions of impulse are equal to that ofPressure Linear momentumForceAngular momentum.
  • 39.
    Problem37The equation of a sound wave is y =0.0015 sin (62.4x + 316t). Find the wavelength of this wave 0.3 unit0.2 unit0.1unitcannot be calculated.
  • 40.
    Problem38A force vector applied on a mass is represented as and accelerates with 1 m/s2. What will be the mass of the body?a.10 kgb.20 kgc.10√2kgd. 2√10kg
  • 41.
    Problem39A body droppedfrom a height h with initial velocity zero, strikes the ground with a velocity 3 m/s. Another body of same mass dropped from the same height h with an initial velocity of 4 m/s. Find the final velocity of second mass, with which it strikes the ground5m/s12 m/s3 m/s4 m/s.
  • 42.
    Problem40A particle startswith S.H.M. from the mean position as shown in the fig. Below. Its amplitude is A and its time period is T. At one time, its speed is half that of the maximum speed. What is this displacement?a.2A/√3b. 3A/√2c.√2A/3d.√3A/2
  • 43.
    Problem41What will be the formulae of mass of the earth in terms of g, R and G?a.b.c.d.
  • 44.
    Problem42The velocity of photons is proportional to (where v = frequency)a.1/√vb. V2c. vd. √v
  • 45.
    Problem43If a convex lens of focal length 80 cm and a concave lens of focal length 50 cm are combined together, what will be their resulting power ?+ 7.5 D-0.75 D+ 6. 5 D-6.5 D.
  • 46.
    Problem44The density of a cube is measured by meausuring its mass and length of its sides. If the maximum error in the measurement of mass and lengths are 3% and 2% respectively, the maximum error in the measurement of density would be12%14 %7%9 %.
  • 47.
    Problem45An equation is given here where P = Pressure, V = Volume and = Absolute temperature. If a and b are constants, the dimensions of ‘a’ will beML-5T-1ML5T1ML5T2M-1L5T2.
  • 48.
    Problem46Which of the following dimensions will be the same as that of time ?a. L/Rb. C/Lc.LCd. R/L
  • 49.
    Problem47Two equal electric currents are flowing perpendicular to each other shown in the figure. AB and CD are perpendicular to each other and symmetrically placed with respect to the currents. Where do we expect the resultant magnetic field to be zero?On CDOn ABOn both OD and BOOn both AB and CD.
  • 50.
    Problem48A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s. What is its linear velocity at any point on circular path ?20 m/s√2 m/s10 m/s2 m/s.
  • 51.
    Problem49A 10N force is applied on a body produce in it an acceleration of 1 m/s2. The mass of the body is 15 kg20 kg10 kg5 kg.
  • 52.
    Problem50What will bethe equivalent resistance between the two points A and D?30Ω40 Ω10 Ω10 Ω
  • 53.
    For solution visitwww.vasista.net

Editor's Notes