# AIPMT Physics Previous Year Question Paper 2008

## AIPMT Sample Papers 2008 for Physics

1. Which two of the following five physical parameters have the same dimensions?

(a) energy density

(b) refractive index

(c) dielectric constant

(d) Young's modulus

(e) magnetic field

(1) (a) and (e)

(2) (b) and (d)

(3) (c) and (e)

(4) (a) and (d)

2. If the error in the measurement of radius of a sphere is 2%, then the error in the

determination of volume of the sphere will be

(1) 2%

(2) 4%

(3) 6%

(4) 8%

3. The distance travelled by a particle starting from rest and moving with an acceleration

4/3 ms-2

in the third second is

(1)

19/3 m

(2) 6 m

(3)4 m

4. A particle moves in a straight line with a constant acceleration. It changes its velocity

from 10 ms-1 to 20 ms-1 while passing through a distance 135 m in t second. The value of

t is

(1) 9

(2) 10

(3) 1.8

(4) 12

5. A particle shows distance-time curve as given in this figure. The maximum

instantaneous velocity of the particle is around the point

(1) A

(2) B

(3) C

(4) D

6. A particle of mass m is projected with velocity v making an angle of 45o with the

horizontal. When the particle lands on the level ground the magnitude of the change in its

momentum will be

(1) zero

(2) 2 mv

(3)

(4)

7. Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to

keep the belt moving with a constant velocity of v m/s will be

(1) Zero

(2) Mv newton

(3) 2 Mv newton

(4)

8. Three forces acting on a body are shown in the figure. To have the resultant force only

along the y-direction, the magnitude of the minimum additional force needed is

(1)

(2) 0.5 N

(3) 1.5 N

(4)

9. Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The

losses due to frictional forces are 10% of energy. How much power is generated by the

turbine? (g = 10 m/s2)

(1) 7.0 kW

(2) 8.1 kW

(3) 10.2 kW

(4) 12.3 kW

10. A shell of mass 200 gm is ejected from a gun of mass 4 kg by an explosion that

generates 1.05 kJ of energy. The initial velocity of the shell is

(1) 120 ms-1

(2) 100 ms-1

(3) 80 ms-1

(4) 40 ms-1

11. The ratio of the radii of gyration of a circular disc to that of a circular ring, each of

same mass and radius, around their respective axes is

(1)

(2)

(3)

(4)

12. A thin rod of length L and mass M is bent at its midpoint into two halves so that the

angle between them is 90o. The moment of inertia of the bent rod about an axis passing

through the bending point and perpendicular to the plane defined by the two halves of the

rod is

(1)

(2)

(3)

(4)

13. A roller coaster is designed such that riders experience ''weightlessness'' as they go

round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top

of the hill is between

(1) 13 m/s and 14 m/s

(2) 14 m/s and 15 m/s

(3) 15 ms/ and 16 m/s

(4) 16 m/s and 17 m/s

14. If Q, E and W denote respectively the heat added, change in internal energy and the

work done in a closed cycle process, then

(1) Q = 0

(2) W = 0

(3) Q = W = 0

(4) E = 0

15. On a new scale of temperature (which is linear) and called the W scale, the freezing

and boiling points of water are 39o W and 239o W respectively. What will be the

temperature on the new scale, corresponding to a temperature of 39o C on the Celsius

scale?

(1) 139o W

(2) 78o W

(3) 117o W

(4) 200o W

16. At 10oC the value of the density of a fixed mass of an ideal gas divided by its pressure

is x. At 110oC this ratio is

(1) 283/383 x

(2) x

(3) 383/283 x

(4) 10/110 x

17. Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s-1 have the

same displacement amplitude. The ratio of their maximum accelerations is

(1) 1 : 104

(2) 1 : 10

(3) 1 : 102

(4) 1 : 103

18. The wave described by

where x and y are in meters and t in

seconds, is a wave travelling along the

(1) -ve x direction with amplitude 0.25 m and wavelength = 0.2 m

(2) -ve x direction with frequency 1 Hz

(3) +ve x direction with frequency Hz and wavelength = 0.2 m

(4) +ve x direction with frequency 1 Hz and wavelength = 0.2 m

19. A point performs simple harmonic oscillation of period T and the equation of

motion is given by x = a sin(wt + /6). After the elapse of what fraction of the time

period the velocity of the point will be equal to half of its maximum velocity?

(1) T/12

(2) T/8

(3) T/6

(4) T/3

20. Two points are located at a distance of 10 m and 15 m from the source of oscillation.

The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is

the phase difference between the oscillations of two points?

(1)

(2)

(3)

(4)

21. The velocity of electromagnetic radiation in a medium of permittivity

permeability 0 is given by

0

and

(1)

(2)

(3)

(4)

22. Two periodic waves of intensities I1 and I2 pass through a region at the same time in

the same direction. The sum of the maximum and minimum intensities is

(1) 2(I1 + I2)

(2) I1 + I2

(3)

(4)

23. Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of

the combinations is

(1)

(2)

(3)

(4)

24. A boy is trying to start a fire by focusing Sunlight on a piece of paper using an

equiconvex lens of focal length 10 cm. The diameter of the Sun is 1.39 × 109 m and its

mean distance from the earth is 1.5 × 1011 m. What is the diameter of the Sun's image on

the paper?

(1) 12.4 × 10-4 m

(2) 9.2 × 10-4 m

(3) 6.5 × 10-4 m

(4) 6.5 × 10-5 m

25. The energy required to charge a parallel plate condenser of plate separation d and

plate area of cross-section A such that the uniform electric field between the plates is E,

is

(1)

(2)

(3)

(4)

26. A thin conducting ring of radius R is given a charge +Q. The electric field at the

centre O of the ring due to the charge on the part AKB of the ring is E. The electric field

at the centre due to the charge on the part ACDB of the ring is

(1) 3 E along OK

(2) 3 E along KO

(3) E along OK

(4) E along KO

27. The electric potential at a point in free space due to a charge Q coulomb is Q × 1011

volts. The electric field at that point is

(1)

(2)

(3)

(4)

28. A cell can be balanced against 110 cm and 100 cm of potentiometer wire,

respectively with and without being short circuited through a resistance of 10 . Its

internal resistance is

(1) Zero

(2) 1.0 ohm

(3) 0.5 ohm

(4) 2.0 ohm

29. A wire of a certain material is stretched slowly by ten per cent. It new resistance and

specific resistance become respectively

(1) 1.1 times, 1.1 times

(2) 1.2 times, 1.1 times

(3) 1.21 times, same

(4) Both remain the same

30. In the circuit shown, the current through the 4 resistor is 1 amp when the points P

and M are connected to a d.c. voltage source. The potential difference between the points

M and N is

(1) 3.2 volt

(2) 1.5 volt

(3) 1.0 volt

(4) 0.5 volt

31. An electric kettle takes 4A current at 220 V. How much time will it take to boil 1 kg

of water from temperature 20°C? The temperature of boiling water is 100°C.

(1) 4.2 min

(2) 6.3 min

(3) 8.4 min

(4) 12.6 min

32. A current of 3 amp. flows through the 2

dissipated in the 5 resistor is

resistor shown in the circuit. The power

(1) 5 watt

(2) 4 watt

(3) 2 watt

(4) 1 watt

33. A particle of mass m, charge Q and kinetic energy T enters a transverse uniform

magnetic field of induction

(1) 4 T

(2) 3 T

(3) 2 T

(4) T

After 3 seconds the kinetic energy of the particle will be

34. A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the

magnetic forces on segments PS, SR and RQ are F1, F2 and F3 respectively and are in the

plane of the paper and along the directions shown, the force on the segment QP is

(1) F3 - F1 + F2

(2) F3 - F1 - F2

(3)

(4)

35. A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction

in such a way that its axis makes an angle of 60° with

linked with the disc is

The magnetic flux

(1) 0.01 wb

(2) 0.02 wb

(3) 0.06 wb

(4) 0.08 wb

36. A galvanometer of resistance 50 is connected to a battery of 3 V along with a

resistance of 2950 in series. A full scale deflection of 30 divisions is obtained in the

galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series

should be

(1) 4450

(2) 5050

(3) 5550

(4) 6050

37. Curie temperature is the temperature above which

(1) Ferromagnetic material becomes diamagnetic material

(2) Ferromagnetic material becomes paramagnetic material

(3) Paramagnetic material becomes diamagnetic material

(4) Paramagnetic material becomes ferromagnetic material

38. A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the

resulting magnetic flux linked with each turn of the solenoid is 4 × 10-3 b. The self-

inductance of the solenoid is

(1) 4.0 henry

(2) 2.5 henry

(3) 2.0 henry

(4) 1.0 henry

39. In an a.c. circuit the e.m.f. (e) and the current (i ) at any instant are given

respectively by

The average power in the circuit over one cycle of a.c. is

(1) E0I0

(2)

(3)

(4)

40. In the phenomenon of electric discharge through gases at low pressure, the coloured

glow in the tube appears as a result of

(1) Collision between different electrons of the atoms of the gas

(2) Excitation of electrons in the atoms

(3) Collision between the atoms of the gas

(4) Collisions between the charged particles emitted from the cathode and the atoms of

the gas

41. The work function of a surface of a photosensitive material is 6.2 eV. The

wavelength of the incident radiation for which the stopping potential is 5 V lies in the

(1) X-ray region

(2) Ultraviolet region

(3) Visible region

(4) Infrared region

42. A particle of mass 1 mg has the same wavelength as an electron moving with a

velocity of 3 × 106 ms-1. The velocity of the particle is (mass of electron = 9.1 × 10-31 kg)

(1) 2.7 × 10-21 ms-1

(2) 2.7 × 10-18 ms-1

(3) 9 × 10-2 ms-1

(4) 3 × 10-31 ms-1

43. The ground state energy of hydrogen atom is -13.6 eV. When its electron is in the

first excited state, its excitation energy is

(1) 0

(2) 3.4 eV

(3) 6.8 eV

(4) 10.2 eV

44. Two radioactive materials X1 and X2 have decay constants 5 and respectively. If

initially they have the same number of nuclei, then the ratio of the number of nuclei of X1

to that of X2 will be

after a time

(1)

(2)

(3)

(4)

45. Two nuclei have their mass numbers in the ratio of 1:3. The ratio of their nuclear

densities would be

(1) 1 : 1

(2) 1 : 3

(3) 3 : 1

(4) (3)1/3 : 1

46. If M(A; Z), Mp and Mn denote the masses of the nucleus

proton and neutron

respectively in units of u (1u = 931.5 MeV / C2) and BE represents its bonding energy in

MeV, then

(1)

(2)

(3)

(4)

47. The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain

without feedback will be

(1) 100

(2) 90

(3) 10

(4) 1.25

48. If the lattice parameter for a crystalline structure is 3.6 , then the atomic radius in

fcc crystal is

(1) 1.27

(2) 1.81

(3) 2.10

(4) 2.92

49. The circuit

is equivalent to

(1) OR gate

(2) AND gate

(3) NAND gate

(4) NOR gate

50. A p-n photodiode is made of a material with a band gap of 2.0 eV. The minimum

frequency of the radiation that can be absorbed by the material is nearly

(1) 20 × 1014 Hz

(2) 10 × 1014 Hz

(3) 5 × 1014 Hz

(4) 1 × 1014 Hz

(a) energy density

(b) refractive index

(c) dielectric constant

(d) Young's modulus

(e) magnetic field

(1) (a) and (e)

(2) (b) and (d)

(3) (c) and (e)

(4) (a) and (d)

2. If the error in the measurement of radius of a sphere is 2%, then the error in the

determination of volume of the sphere will be

(1) 2%

(2) 4%

(3) 6%

(4) 8%

3. The distance travelled by a particle starting from rest and moving with an acceleration

4/3 ms-2

in the third second is

(1)

19/3 m

(2) 6 m

(3)4 m

4. A particle moves in a straight line with a constant acceleration. It changes its velocity

from 10 ms-1 to 20 ms-1 while passing through a distance 135 m in t second. The value of

t is

(1) 9

(2) 10

(3) 1.8

(4) 12

5. A particle shows distance-time curve as given in this figure. The maximum

instantaneous velocity of the particle is around the point

(1) A

(2) B

(3) C

(4) D

6. A particle of mass m is projected with velocity v making an angle of 45o with the

horizontal. When the particle lands on the level ground the magnitude of the change in its

momentum will be

(1) zero

(2) 2 mv

(3)

(4)

7. Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to

keep the belt moving with a constant velocity of v m/s will be

(1) Zero

(2) Mv newton

(3) 2 Mv newton

(4)

8. Three forces acting on a body are shown in the figure. To have the resultant force only

along the y-direction, the magnitude of the minimum additional force needed is

(1)

(2) 0.5 N

(3) 1.5 N

(4)

9. Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The

losses due to frictional forces are 10% of energy. How much power is generated by the

turbine? (g = 10 m/s2)

(1) 7.0 kW

(2) 8.1 kW

(3) 10.2 kW

(4) 12.3 kW

10. A shell of mass 200 gm is ejected from a gun of mass 4 kg by an explosion that

generates 1.05 kJ of energy. The initial velocity of the shell is

(1) 120 ms-1

(2) 100 ms-1

(3) 80 ms-1

(4) 40 ms-1

11. The ratio of the radii of gyration of a circular disc to that of a circular ring, each of

same mass and radius, around their respective axes is

(1)

(2)

(3)

(4)

12. A thin rod of length L and mass M is bent at its midpoint into two halves so that the

angle between them is 90o. The moment of inertia of the bent rod about an axis passing

through the bending point and perpendicular to the plane defined by the two halves of the

rod is

(1)

(2)

(3)

(4)

13. A roller coaster is designed such that riders experience ''weightlessness'' as they go

round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top

of the hill is between

(1) 13 m/s and 14 m/s

(2) 14 m/s and 15 m/s

(3) 15 ms/ and 16 m/s

(4) 16 m/s and 17 m/s

14. If Q, E and W denote respectively the heat added, change in internal energy and the

work done in a closed cycle process, then

(1) Q = 0

(2) W = 0

(3) Q = W = 0

(4) E = 0

15. On a new scale of temperature (which is linear) and called the W scale, the freezing

and boiling points of water are 39o W and 239o W respectively. What will be the

temperature on the new scale, corresponding to a temperature of 39o C on the Celsius

scale?

(1) 139o W

(2) 78o W

(3) 117o W

(4) 200o W

16. At 10oC the value of the density of a fixed mass of an ideal gas divided by its pressure

is x. At 110oC this ratio is

(1) 283/383 x

(2) x

(3) 383/283 x

(4) 10/110 x

17. Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s-1 have the

same displacement amplitude. The ratio of their maximum accelerations is

(1) 1 : 104

(2) 1 : 10

(3) 1 : 102

(4) 1 : 103

18. The wave described by

where x and y are in meters and t in

seconds, is a wave travelling along the

(1) -ve x direction with amplitude 0.25 m and wavelength = 0.2 m

(2) -ve x direction with frequency 1 Hz

(3) +ve x direction with frequency Hz and wavelength = 0.2 m

(4) +ve x direction with frequency 1 Hz and wavelength = 0.2 m

19. A point performs simple harmonic oscillation of period T and the equation of

motion is given by x = a sin(wt + /6). After the elapse of what fraction of the time

period the velocity of the point will be equal to half of its maximum velocity?

(1) T/12

(2) T/8

(3) T/6

(4) T/3

20. Two points are located at a distance of 10 m and 15 m from the source of oscillation.

The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is

the phase difference between the oscillations of two points?

(1)

(2)

(3)

(4)

21. The velocity of electromagnetic radiation in a medium of permittivity

permeability 0 is given by

0

and

(1)

(2)

(3)

(4)

22. Two periodic waves of intensities I1 and I2 pass through a region at the same time in

the same direction. The sum of the maximum and minimum intensities is

(1) 2(I1 + I2)

(2) I1 + I2

(3)

(4)

23. Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of

the combinations is

(1)

(2)

(3)

(4)

24. A boy is trying to start a fire by focusing Sunlight on a piece of paper using an

equiconvex lens of focal length 10 cm. The diameter of the Sun is 1.39 × 109 m and its

mean distance from the earth is 1.5 × 1011 m. What is the diameter of the Sun's image on

the paper?

(1) 12.4 × 10-4 m

(2) 9.2 × 10-4 m

(3) 6.5 × 10-4 m

(4) 6.5 × 10-5 m

25. The energy required to charge a parallel plate condenser of plate separation d and

plate area of cross-section A such that the uniform electric field between the plates is E,

is

(1)

(2)

(3)

(4)

26. A thin conducting ring of radius R is given a charge +Q. The electric field at the

centre O of the ring due to the charge on the part AKB of the ring is E. The electric field

at the centre due to the charge on the part ACDB of the ring is

(1) 3 E along OK

(2) 3 E along KO

(3) E along OK

(4) E along KO

27. The electric potential at a point in free space due to a charge Q coulomb is Q × 1011

volts. The electric field at that point is

(1)

(2)

(3)

(4)

28. A cell can be balanced against 110 cm and 100 cm of potentiometer wire,

respectively with and without being short circuited through a resistance of 10 . Its

internal resistance is

(1) Zero

(2) 1.0 ohm

(3) 0.5 ohm

(4) 2.0 ohm

29. A wire of a certain material is stretched slowly by ten per cent. It new resistance and

specific resistance become respectively

(1) 1.1 times, 1.1 times

(2) 1.2 times, 1.1 times

(3) 1.21 times, same

(4) Both remain the same

30. In the circuit shown, the current through the 4 resistor is 1 amp when the points P

and M are connected to a d.c. voltage source. The potential difference between the points

M and N is

(1) 3.2 volt

(2) 1.5 volt

(3) 1.0 volt

(4) 0.5 volt

31. An electric kettle takes 4A current at 220 V. How much time will it take to boil 1 kg

of water from temperature 20°C? The temperature of boiling water is 100°C.

(1) 4.2 min

(2) 6.3 min

(3) 8.4 min

(4) 12.6 min

32. A current of 3 amp. flows through the 2

dissipated in the 5 resistor is

resistor shown in the circuit. The power

(1) 5 watt

(2) 4 watt

(3) 2 watt

(4) 1 watt

33. A particle of mass m, charge Q and kinetic energy T enters a transverse uniform

magnetic field of induction

(1) 4 T

(2) 3 T

(3) 2 T

(4) T

After 3 seconds the kinetic energy of the particle will be

34. A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the

magnetic forces on segments PS, SR and RQ are F1, F2 and F3 respectively and are in the

plane of the paper and along the directions shown, the force on the segment QP is

(1) F3 - F1 + F2

(2) F3 - F1 - F2

(3)

(4)

35. A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction

in such a way that its axis makes an angle of 60° with

linked with the disc is

The magnetic flux

(1) 0.01 wb

(2) 0.02 wb

(3) 0.06 wb

(4) 0.08 wb

36. A galvanometer of resistance 50 is connected to a battery of 3 V along with a

resistance of 2950 in series. A full scale deflection of 30 divisions is obtained in the

galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series

should be

(1) 4450

(2) 5050

(3) 5550

(4) 6050

37. Curie temperature is the temperature above which

(1) Ferromagnetic material becomes diamagnetic material

(2) Ferromagnetic material becomes paramagnetic material

(3) Paramagnetic material becomes diamagnetic material

(4) Paramagnetic material becomes ferromagnetic material

38. A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the

resulting magnetic flux linked with each turn of the solenoid is 4 × 10-3 b. The self-

inductance of the solenoid is

(1) 4.0 henry

(2) 2.5 henry

(3) 2.0 henry

(4) 1.0 henry

39. In an a.c. circuit the e.m.f. (e) and the current (i ) at any instant are given

respectively by

The average power in the circuit over one cycle of a.c. is

(1) E0I0

(2)

(3)

(4)

40. In the phenomenon of electric discharge through gases at low pressure, the coloured

glow in the tube appears as a result of

(1) Collision between different electrons of the atoms of the gas

(2) Excitation of electrons in the atoms

(3) Collision between the atoms of the gas

(4) Collisions between the charged particles emitted from the cathode and the atoms of

the gas

41. The work function of a surface of a photosensitive material is 6.2 eV. The

wavelength of the incident radiation for which the stopping potential is 5 V lies in the

(1) X-ray region

(2) Ultraviolet region

(3) Visible region

(4) Infrared region

42. A particle of mass 1 mg has the same wavelength as an electron moving with a

velocity of 3 × 106 ms-1. The velocity of the particle is (mass of electron = 9.1 × 10-31 kg)

(1) 2.7 × 10-21 ms-1

(2) 2.7 × 10-18 ms-1

(3) 9 × 10-2 ms-1

(4) 3 × 10-31 ms-1

43. The ground state energy of hydrogen atom is -13.6 eV. When its electron is in the

first excited state, its excitation energy is

(1) 0

(2) 3.4 eV

(3) 6.8 eV

(4) 10.2 eV

44. Two radioactive materials X1 and X2 have decay constants 5 and respectively. If

initially they have the same number of nuclei, then the ratio of the number of nuclei of X1

to that of X2 will be

after a time

(1)

(2)

(3)

(4)

45. Two nuclei have their mass numbers in the ratio of 1:3. The ratio of their nuclear

densities would be

(1) 1 : 1

(2) 1 : 3

(3) 3 : 1

(4) (3)1/3 : 1

46. If M(A; Z), Mp and Mn denote the masses of the nucleus

proton and neutron

respectively in units of u (1u = 931.5 MeV / C2) and BE represents its bonding energy in

MeV, then

(1)

(2)

(3)

(4)

47. The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain

without feedback will be

(1) 100

(2) 90

(3) 10

(4) 1.25

48. If the lattice parameter for a crystalline structure is 3.6 , then the atomic radius in

fcc crystal is

(1) 1.27

(2) 1.81

(3) 2.10

(4) 2.92

49. The circuit

is equivalent to

(1) OR gate

(2) AND gate

(3) NAND gate

(4) NOR gate

50. A p-n photodiode is made of a material with a band gap of 2.0 eV. The minimum

frequency of the radiation that can be absorbed by the material is nearly

(1) 20 × 1014 Hz

(2) 10 × 1014 Hz

(3) 5 × 1014 Hz

(4) 1 × 1014 Hz

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