CPMT Sample Paper Physics

1. In the photocells
(a) light is converted to heat
(b) electrical energy is converted to light energy
(c) light energy is converted to electrical energy
(d) heat is converted to light

2. The acceleration of an object moving in a straight line is equal
to the
(a) Slope of the displacement - time graph
(b) Area under velocity - time graph
(c) Area under displacement - time graph
(d) Slope of the velocity - time graph

3. The dimensions of angular momentum are
(a) MLT―1 (b) ML―1T (c) ML2T―1 (d) MLT―2

4. The temperature above which a gas cannot be liquefied by the
application of mere pressure is called
(a) Critical temperature (b) Boiling point
(c) Boyle temperature (d) Freezing point

5. In a closed tube, the frequencies of the overtones are .....
multiplies of the fundamental
(a) Even (b) Odd (c) Sub (d) Integral

6. For an adiabatic charge
(a) ∆u = 0 (b) ∆Q = ∆w (c) ∆w = 0 (d) ∆u = −∆w

7. A monoatomic ideal gas initially at 170C is suddenly compressed
to one eighth of its original volume. The temperature after
compression is
(a) 170C (b) 1360 C (c) 8870C

8. A possible fuel for nuclear reactors is
(a) Lead (b) Plutonium (c) Berrylium (d) Zirconium

9. The transformer of an audio amplifier has out put impedance
8000Ω and the speaker has input impedance of 8Ω, the ratio of
primary to secondary turns of this transformer connected
between the out put of amplifier and to loud speaker should have
the ratio
(a) 1000:1 (b) 100:1 (c) 1:32 (d) 32:1 (e) 1:1000

10. A charged oil drop of mass 9.75×10-15 kg and charge
30×10-16C is suspended in a uniform electric field existing
between two parallel plates. The field between the plates,
taking g=10ms-2, is
(a) 3.25 v/m
(b) 300 v/m
(c) 325 v/m
(d) 32.5 v/m
(e) 3000 v/m

11. A dim star magnitude +14.5 explodes into a nova of magnitude
+2. The factor by which the brightness of the star has
increased is
(a) 12.5 (b) 102 (c) 103 (d) 104 (e) 105

12. If the velocity of light c, gravitational constant G the Plank's
constant h are chosen as fundamental units, the dimension of
length L in the new system is
(a) [h1 c1 G-1]
(b) [h1/2 c1/2 G-1/2]
(c) [h1 c-3 G-1]
(d) [h1/2 c-3/2 G1/2]
(e) [h1 c0 G0]

13. 92U238 decays successively to form 90Th234, 91Pa234, 92U234,
90Th230 and 88Ra226 then during the reaction the number of
particles emitted is
(a) 4 (b) 3 (c) 5 (d) 2 (e) 1

14. Out of the following electromagnetic radiations, which has the
shortest wavelength?
(a) radio waves
(b) infrared
(c) ultraviolet
(d) visible light
(e) X-rays

15. Heavy water is one of the substances used as moderator in
reactors. Which of the following is also used as moderator?
(a) Sea water (b) Cobalt (c) Graphite (d) Titanium

16. Water is used in hot water bottles because:
(a) water is not harmful to human body
(b) water has high specific heat
(c) water is easily available
(d) it is not easy to heat water

17. Maxwell in his famous equation of electromagnetism introduced
the concept
(a) AC current
(b) DC current
(c) displacement current
(d) impedance
(e) reactance

18. In a property biased transistor
(a) both depletion layers are equally large
(b) both depletion layers are equally small
(c) emitter-base depletion layer is large but base-collector
layer is small
(d) emitter-base depletion layer is small but base-collector
depletion layer is large
(e) both depletion layers vanish

19. The graph between acceleration and time for the particle in
SHM is
(a) Sinusoidal (b) Parabola (c) Straight line (d) Ellipse

20. When a vibrating turning fork is placed on a sonometer, a large
sound is heard. This is due to
(a) Forced vibration (b) Reflection of sound
(c) Beats (d) Resonance

21. A liquid boils when its vapour pressure is
(a) greater than total external pressure on its surface
(b) equal to total external pressure on its surface
(c) equal to atmospheric pressure
(d) less than total external pressure on its surface

22. The mean orbital radius of planet Pluto is 6 tera-meters. Then
the orbital radius in terms of mega meters is
(a) 6×106 (b) 6×105 (c) 6×109 (d) 6×108

23. The thermocouple cannot act as
(a) Thermometer (b) Voltmeter
(c) Refrigerator (d) a.c generator

24. A ball hangs from a string inside a train moving along a
horizontal straight track. The string is observed to incline
towards the rear of the train making a constant small angle
with the vertical. It shows that the train is
(a) moving with a uniform acceleration
(b) moving with a uniform velocity
(c) moving with a uniform retardation
(d) moving with an acceleration which is increasing uniformly
(e) at rest

25. In a n-p-n transistor amplifier, the collector current is 9mA. If
90% of the electrons from the emitter reach the collector, then
(a) α = 0.9; β = 9.0
(b) the base current is10mA
(c) the emitter current is 1mA
(d) α = 9.0; β = 0.9
(e) α = 0.99; β = 99.0

26. The power of combination of a convex lens of focal length
50 cm and concave lens of focal length 40 cm is
(a) +1 diopter
(b) -1 diopter
(c) 0
(d) +0.5 diopter
(e) -0.5 diopter

27. Which of the following particles is unstable
(a) Proton (b) Alpha particle (c) Neutron (d) Electron

28. The gas law PVγ constant is true for:
(a) Adiabatic changes only (b) Isothermal changes only
(c) Both isothermal and adiabatic changes

29. When light wave travels from one medium into another its
(a) Velocity, frequency and wave length does not change
(b) Velocity does not change
(c) Wavelength does not change
(d) Frequency does not change

30. The apparent change in frequency due to relative motion
between source of sound and a listener is called
(a) Doppler effect (b) Diffraction
(c) Resonance (d) Beat phenomenon

31. A lump of ice floats in water in a beaker. When all the ice
melts, the level of water in the beaker will
(a) go down (b) change (c) rise (d) remain unchanged

32. A plate has a length 5.00 ± 0.10cm and breadth
2.00 ± 0.01 cm. Then the area of the plate is
(a) 10 ± 0.1 cm2
(b) 10.0 ± 0.01 cm2
(c) 10.0 ± 0.25 cm2
(d) 10.0 ± 0.2 cm2
(e) 10 cm2

33. Two coherent sources whose intensity ratio is 81:1 produce
interference fringes. The ratio of minimum to maximum intensity
i.e: Imin : Imax is
(a) 16.25 (b) 9:1 (c) 1:9 (d) 25:16 (d) 5:4

34. Hydrogen has
(a) One isotope (b) Two isotopes
(c) Three isotopes (d) None of the above

35. A thin circular brass disc has a concentric hole through it so as
to make it a washer. It is then heated. Owing to expansion of
metal, the diameter of the hole will:
(a) decrease (b) increase (c) remain the same

36. A body is projected so as to have a maximum range of 80m.
The wrong statement about this motion is/are
(a) its angle of projection is 450
(b) its vertical height is 20m
(c) its energy is zero at the highest point
(d) its path is a parabola

37. Image formed by a convex lens is virtual and erect when the
object is placed
(a) at F
(b) between F and the lens
(c) at 2F
(d) beyond 2F
(e) at infinity

38. What enables the aeroplane to rise in air?
(a) The lifting capacity of a downward jet of air
(b) The lifting capacity of an upward jet of air
(c) The low pressure above the wings
(d) The high pressure above the wings

39. If the sun becomes twice as hot
(a) the output of radiated energy will be eight times larger
(b) it will radiate predominantly in the infrared
(c) it will radiate predominantly in the ultraviolet
(d) the output of the radiated energy will be eight times smaller
(e) the frequency spectrum of the radiated energy will not alter

40. Let the potential energy of electron in hydrogen atom in the
ground state be regarded as zero. Then its potential energy in
the first excited state will be
(a) 20.4 eV (b) 13.6 eV (c) 3.4 eV (d) 6.8 eV (e) 10.2 eV

41. In the electromagnetic spectrum, the visible spectrum lies
between
(a) radio waves and microwaves
(b) infra red and ultraviolet rays
(c) micro waves and infra red spectrum
(d) X- ray and gamma ray spectrum
(e) ultraviolet and X ray spectrum

42. The meniscus of mercury in a glass tube is
(a) concave (b) plane (c) convex (d) horizontal

43. Energy in the Sun is generated mainly by
(a) Fusion of hydrogen atoms (b) Chemical reaction
(c) Fission of helium atoms (d) Fusion of radioactive material

44. In Young's double slit experiment, the width of one of the slits
is lowly increased to make it twice the width of the other slit.
Then in the interference pattern
(a) the intensity of maxima increase while that of minima
decrease
(b) the intensities of both maxima and minima decrease
(c) the intensities of both maxima and minima remain the same
(d) the intensity of maxima and decrease while that of minima
increase
(e) the intensities of both maxima and minima increase

45. Frequency of characteristic X-rays depends on
(a) atomic number of target (b) mass number of target
(c) accelerating p.d applied (d) kinetic energy of electron

46. Two radioactive nuclides x and y have half lives 1 hour and
2 hours respectively. Initially the samples have equal number of
nuclei. After 4 hours the ratio of the numbers of x and y is
(a) 1/2 (b) 2 (c) 1/4 (d) 1 (e) 1/16

47. Surface tension of water is 0.072 Nm−1. The excess pressure
inside a water drop of diameter 1.2 mm is
(a) 0.086 Nm−2 (b) 240 Nm−2 (c) 120 Nm−2 (d) 72 Nm−2

48. Sound is propagated in air as
(a) Stationary waves (b) Longitudinal waves
(c) Transverse waves (d) Standing waves

49. If the wavelength of incident light changes from 400 nm to
300 nm, the stopping potential for photoelectrons emitted from
a surface becomes approximately
(a) 1.0 volt greater
(b) 1.0 volt smaller
(c) 0.5 volt greater
(d) 0.5 volt smaller
(e) 0.1 volt greater

50. Which is the only vector quantity out of the following?
(a) Electrostatic potential
(b) Moment of a spinning body
(c) Current flowing in a metal
(d) Charge of a gold leaf electroscope

Answers

1 C 11 E 21 B 31 D 41 B
2 D 12 D 22 A 32 D 42 C
3 C 13 B 23 D 33 A 43 A
4 A 14 E 24 A 34 C 44 E
5 B 15 C 25 A 35 B 45 A
6 D 16 B 26 E 36 C 46 C
7 C 17 C 27 C 37 B 47 B
8 B 18 D 28 A 38 C 48 B
9 D 19 A 29 D 39 C 49 A 10 D 20 A 30 A 40 A 50 B

CPMT Sample Paper Physics

1. In a P-type semiconductor the acceptor impurity level are a
little
(a) below the valance band (b) above the conductor band
(c) above the valence band (d) below the conduction band

2. A bullet fired from a gun has a force on it given by
F=400−8×104 t, such that force becomes zero as soon as the
bullet leaves the barrel of the gun. The impulse imparted to the
bullet
(a) 0.1 NS (b) 2 NS (c) 1 NS (d) zero

3. In a working nuclear reactor, cadmium rods are used to
(a) Absorb all neutrons (b) Absorb some neutrons
(c) Speed up neutrons (d) Slow down neutrons

4. Radius of first orbit of the electron in a hydrogen atom is 0.53Å.
Radius of the third orbit is
(a) 2.12Å (b) 0.18Å (c) 4.77Å (d) 1.06Å

5. Short sight is due to
(a) The eye-ball being too short for the eye lens
(b) A defect in the retina
(c) The eye-ball being too long for the eye lens
(d) A defect in the cornea

6. Mirage is the phenomenon due to
(a) Total internal reflection (b) Interference of light
(c) Polarization of light (d) Diffraction of light

7. Cyclotron is used for accelerating
(a) Protons (b) Lead (c) Atoms (d) Molecules

8. A glass prism of refractive index 1.5 will simply act as a glass
slab when kept in liquid of refractive index
(a) 1 (b) 1.5 (c) 2 (d) √2

9. The dimension of entropy is
(a) M0L−1T0K (b) ML2T−2K−1 (c) M0L−2T0K2 (d) MLT−2K

10. Cathode rays are
(a) A stream of positive charges
(b) A stream of negative charges
(c) A stream of neutral particles
(d) Electromagnetic waves

11. A number of images of a candle flame can be seen in a thick
mirror. The brightest image is:
(a) The last one (b) The first one
(c) The second one (d) The third one

12. At the temperature of inversion, the emf in a thermocouple is
(a) minimum (b) maximum (c) half the maximum value (d) zero

13. Speed of flow of viscous liquid through a capillary tube of
radius r under constant pressure head is proportional to
(a) r (b) r2 (c) r4 (d) r−1

14. A ball hangs from a string inside a train moving along a
horizontal track. The string is observed to incline towards the
front of the train making a small angle with the vertical. It
shows that the train is
(a) Moving with uniform acceleration
(b) Moving with constant retardation
(c) Moving with uniform velocity
(d) At rest

15. The magnetic potential at any point on the equatorial magnet
is
(a) Infinite (b) Zero (c) Positive (d) Finite

16. A potentiometer consists of a wire of length 4m having a
resistance 10Ω. It is connected to a cell of emf 2V. The
potential difference per unit length of the wire will be
(a) 2 V/m (b) 5 V/m (c) 0.5 V/m (d) 10 V/m

17. Speed of the gas ejected from a rocket is 1000ms-1 and the
force experienced as a result is 50 N. The mass of gas escaping
per second is
(a) 5 g (b) 200 g (c) 50 g (d) cannot determined

18. The process in which nuclei join to form a new nucleus and
liberate heat is known as
(a) Fusion (b) Fission (c) Electrolysis (d) Catalysis

19. 540 gm of ice at 00C is mixed with 540 gm of water at 800C.
The final temperature of the mixture in 0C will be
(a) 20 (b) 0 (c) 40 (d) 80

20. When a light is refracted, which of the following does not
change?
(a) Velocity (b) Amplitude (c) Frequency (d) Wavelength

21. A proton has a mass of 1.67×10-27 kg and charge of
1.6×10-19 C. If the proton be accelerated through a potential
difference of one million volts, then the KE is
(a) 1.6×10-13 J (b) 1.6×10-15 J
(c) 1.67×10-13 J (d) 1.67×10-15 J

22. The presence of dissolved impurities in water:
(a) Does not affect its boiling point
(b) Lowers its boiling point
(c) Raises its boiling point
(d) Does not let water boil

23. Natural magnetism of a magnetic material is explained due to
(a) spin of electron
(b) association with earth magnetic field
(c) nucleus
(d) spin and rotation of electron

24. When two turning forks A and B are sounded together four
beats per second are heard. If the frequency of A is 256 Hz,
find that of B. On loading the fork B, the number of beats
decreases.
(a) 252 Hz (b) 264 Hz (c) 248 Hz (d) 260 Hz

25. Two unlike parallel forces P and 2P act at points A and B. Their
resultant acts at a point
(a) A (b) between A and B
(c) on AB produced (d) on BA produced

26. A body of mass m is resting on an inclined plane which makes
an angle θ with the horizontal. As θ increases the normal
reaction of the plane
(a) Decreases (b) Increases (c) Remains unaltered

27. What causes 'Reverberation'?
(a) Reflection (b) Refraction (c) Interference (d) Diffraction

28. On which natural phenomenon is the unit of time based?
(a) Diurnal motion of the earth (b) Rotation of the sun
(c) The revolution of the moon (d) Rotation of the moon

29. A storage cell of emf 10 V and internal resistance 0.1Ω, is
charged with 5 amps. Then the terminal voltage is
(a) 10 V (b) 9.5 V (c) 10.5 V (d) 9.9 V

30. The process of fission, splitting of a heavy nucleus into smaller
nuclei with emission of energy etc, occurs primarily in
(a) The Sun (b) Chemical reactions
(c) Nuclear reactor (d) The hydrogen bomb

31. In the steady state of temperature for a body, the rate of flow
of heat across it depends upon:
(a) Only its thermal conductivity
(b) Only its thermal capacity
(c) Neither on its thermal capacity nor its thermal conductivity
(d) Both its thermal capacity and its thermal conductivity

32. In a series LCR circuit, at resonant frequency
(a) the impedance is maximum
(b) the current and voltage are in phase
(c) current is minimum
(d) the impedance and current are maximum

33. Two conducting spheres of radii 2cm and 4cm are charged.
They are now kept in constant and separated. The ratio of
their potential is
(a) zero (b) 2:1 (c) 1:1 (d) 1:2

34. Compressed air coming out of a punctured ball becomes cooler
because of
(a) isothermal expansion (b) isothermal compression
(c) adiabatic expansion (d) adiabatic compression

35. If the units of length and force be each increased four times,
the units of energy is increased
(a) 16 times (b) 8 times (c) 4 times (d) 32 times

36. A body is perfectly elastic if
(a) It can be easily deformed
(b) It can be easily compressed
(c) It can readily drawn into a wire
(d) It recovers its original shape or volume on the removal of
the deforming forces

37. When a torque acting upon the system is zero. Which of the
following will be constant
(a) Angular momentum (b) Force
(c) Linear momentum (d) Linear impulse

38. Using a convex lens a clear image of a candle flame is produced
on a screen. How many other clear images can be received on
this screen if only the lens is to be shifted?
(a) Two more (b) A large number
(c) Only one more (d) None

39. Energy generation in star is mainly due to
(a) Fission of heavy nuclei (b) Chemical reactions
(c) Fusion of heavy nuclei (d) Fusion of light nuclei

40. The temperature of a gas is produced by:
(a) The kinetic energy of the molecules
(b) The repulsive forces between the molecules
(c) The potential energy of the molecules
(d) The attractive force between the molecules

41. For a heat engine the temperature of the source is 1270C. To
have 60% efficiency the temperature of the sink is
(a) 1130C (b) −1130C (c) −2730C (d) 1600C

42. The equation of a harmonic wave is given by
y = 0.05 sin (2000t − 8x)m. The maximum particle velocity of
the particle in the wave is (in proper units)
(a) 100 (b) 10 (c) 2000 (d) 1000

43. Two capacitors 10 μF and 25 μF are charged to a potential of
100 V each. They are connected in parallel. The potential
across them are
(a) 100 V each (b) 200 V each
(c) 50 V each (d) 80 V and 120 V

44. Two polaroids are kept crossed to each other. Now one of
them is rotated through a angle of 450. The percentage of
incident light now transmitted through the system is
(a) 15% (b) 75% (c) 25% (d) 50%

45. Young's interference experiment is performed with red light of
wavelength 7000Å and the fringes formed at a distance of one
metre has width β. Now red light is replaced by a light of
wavelength 4000Å. In order that the fringes should again have
the same band width β, the screen should be kept at a
distance of
(a) 7/3m (b) 4/7m (c) 7/4m (d) 3/7m

46. For a given kinetic energy the smallest de Broglie wavelength is
for
(a) proton (b) neutron (c) α-particles (d) electron

47. A bimetallic element is a device in which two thin flat strips of
different metals are rivetted together. Such a device can only
be used as:
(a) Thermister (b) Thermionic (c) Thermocouple (d) Thermostat

48. The magnifying power of a Galilean telescope in normal setting
is 15 and its length is 112 cm. The focal length of its eye piece
lens
(a) 16 cm (b) 119 cm (c) 8 cm (d) 105 cm

49. Water has maximum density at
(a) 140C (b) 100C (c) 0.40C (d) 40C

50. A train, 300 m long is traveling with a velocity of 144 km/hr. It
passes over a bridge in 120 seconds. Then the length of the
bridge is
(a) 4.5 km (b) 2.25 km (c) 4.5 m (d) 2.25 m

Answers

1 C 11 C 21 A 31 A 41 B
2 C 12 D 22 C 32 B 42 A
3 B 13 B 23 D 33 C 43 A
4 C 14 B 24 D 34 C 44 C
5 C 15 B 25 C 35 A 45 C
6 A 16 C 26 A 36 D 46 C
7 A 17 C 27 A 37 A 47 D
8 B 18 A 28 A 38 C 48 C
9 B 19 B 29 C 39 D 49 D
10 B 20 C 30 C 40 A 50 A

CPMT Sample Paper Physics

1. Gamma rays are
(a) Streams of protons
(b) Streams of electrons
(c) Electromagnetic waves of long wavelengths
(d) Electromagnetic waves of short wavelengths

2. Two thin lenses whose powers are +2D and -4D respectively.
The power of the combination is
(a) -2D (b) -4D (c) +4D (d) +2D

3. If the diameter of closed tube is D, the value of end correction
is
(a) 0.15D (b) 0.6D (c) 1.2 D (d) 0.3D

4. A resistor R1, dissipates the power p when connected to a
certain generator. If a resistance R2 is put in series with R1, the
power dissipated by R1
(a) increases (b) decreases
(c) may increase or decrease (d) remains the same

5. The work done in adiabatic change in a gas depends on
(a) Change in pressure (b) Change in volume
(c) Change in temperature (d) None

6. The isothermal bulk modulus of a perfect gas at atmospheric
pressure is
(a) 1.03×105 N/m2 (b) 1.03×106 N/m2
(c) 1.03×1010 N/m2 (d) 1.03×1111 N/m2

7. The quality of a tone:
(a) decreases with loudness
(b) varies directly as pitch
(c) depend upon the overtones present
(d) varies inversely as the amplitude

8. Ω-m is the unit of
(a) Resistance (b) Resistivity (c) Conductivity (d) Conductance

9. Number of electrons passing through a conductor per second to
constitute a current of 1 micro ampere is
(a) 6.25 × 1018 (b) 6.25 × 1015
(c) 6.25 × 1012 (d) 1.6 × 10-19

10. The electric potential at any point inside a charged hollow
sphere
(a) is the same
(b) is zero
(c) increases with distance from the centre
(d) decreases as the distance from the centre increases

11. A body of mass 2kg is moving along a horizontal surface. A
force of 4N is needed to make it move with constant velocity
10 m/s along a straight line. If 4N force is suddenly reserved
while the body is in motion
(a) It will come to rest with a retardation of 4 m/s2
(b) It will come to rest with a retardation of 4 m/s2 and then
move with constant velocity in the opposite direction
(c) It will not move at all
(d) It will come to rest with a retardation of 2 m/s2

12. An adiabatic process at constant
(a) Heat (b) Temperature
(c) Pressure (d) Temperature and Pressure

13. Air in a cylinder is suddenly compressed by a piston, which is
then maintained at the same position with the passage of time
(a) the pressure decreases
(b) the pressure increases
(c) the pressure remains the same
(d) the pressure may increase or decrease

14. In the above question if the volume after compression is half
the original volume, the final pressure after a long time is
(a) greater than twice the initial pressure
(b) equal to twice the initial pressure
(c) equal to the initial pressure
(d) equal to half of the initial pressure

15. Two thermometers X and Y have ice points marked at 150 and
250 and steam points marked as 750 and 1250 respectively.
When thermometer X measures the temperature of a bath as
600 on it, Y would measure the same temperature as
(a) 600 (b) 750 (c) 1000 (d) 1050

16. Dry air (γ = 1.5) at atmospheric pressure is suddenly
compressed to one fourth of its original volume. The pressure
will be
(a) 3 atmosphere (b) 6 atmosphere
(c) 8 atmosphere (d) 10 atmosphere

17. Out of the following the vector quantity is
(a) electric charge (b) current
(c) potential (d) electric field intensity

18. The number of images formed by the mirrors inclined at 450 of
an object between them is
(a) Infinite (b) Seven (c) One (d) Four

19. Two tuning forks of frequencies 252 Hz & 256 Hz sounded
together produce beats. The frequency of resultant wave is
(a) 252 Hz (b) 4 Hz (c) 254 Hz (d) 258 Hz

20. A flask containing air at 270C at atmospheric pressure is corked
up. A pressure of 2.5 atmosphere inside the flask would force
the cork out. The temperature at which it will happen is
(a) 67.50C (b) 750K (c) 5770C (d) 7500C

21. A motor car tyre is pumped to 2 atmospheres at 150C when it
bursts. Assume adiabatic expansion. The drop in temperature of
air is: (for air γ = 1.4)
(a) -560C (b) 410C (c) 560C (d) none of the above

22. If the sound in hydrogen is v, then in a mixture of hydrogen
and oxygen in the ratio 5:1 by volumes, the speed of sound at
same temperature and pressure is
(a) (6.5)½ v (b) (5/6)½ v (c) (7/3)½ v (d) (6/21)½ v

23. When a body is positively charged it means that
(a) Some protons have been added to it
(b) Some electrons have been removed from it
(c) Some protons have been removed from it
(d) Some electrons have been added to it

24. Two unequal resistors are connected in parallel in a circuit.
Then
(a) The current is the same through both of them
(b) Voltage drop is the same across them
(c) There will be larger potential drop across them
(d) Larger current flows through the larger resistance

25. When a mass is rotating in a plane about a fixed point its
angular momentum is directed along
(a) The radius
(b) The tangent to orbit
(c) Line at an angle of 450 to the plane of rotation
(d) The axis of rotation

26. Compressed air in the tube of a wheel of a cycle at a normal
temperature suddenly starts coming out from a puncture. The
air inside:
(a) starts becoming cooler
(b) may become hotter or cooler depending upon the amount of
water vapour present
(c) starts becoming hotter
(d) remains at the same temperature.

27. The refractive index is the least for
(a) Green light (b) Blue light (c) Red light (d) Yellow light

28. The pressure exerted by an ideal gas is proportional to
(a) square of the velocity of the molecules
(b) the mean velocity of the molecules
(c) the mean square velocity of the molecules
(d) the root mean square velocity of the molecules

29. A body rotating with an angular velocity 20 rad/s comes to rest
in 4 seconds. The angle turned in last second of its motion is
(a) 2.50 (b) 5 rad (c) 200 (d) 2.5 rad

30. The slopes of isothermal and adiabatic curves are related as
(a) Adiabatic curve slope = ½ × Isothermal curve slope
(b) Isothermal curve slope = Adiabatic curve slope
(c) Isothermal curve slope = γ × Adiabatic curve slope
(d) Isothermal curve slope = γ × Isothermal curve slope

31. When water is filled in an empty vessel, its frequency
(a) remains the same (b) decreases
(c) increases (d) either increases or decreases

32. Current flowing in a copper voltmeter is 0.4 A. The number of
Cu++ ions deposited at the cathode per minute is
(a) 1.5×1020 (b) 3×1020 (c) 4.5×1019 (d) 0.75×1020

33. Wavelength of electromagnetic wave of frequency 100 KHz
(a) 5×106 m (b) 3×103 m (c) 3×108 m (d) 4×106 m

34. A cable is shortened to half its length. The maximum load it can
support without exceeding its elastic limit
(a) Is trebled (b) Is doubled (c) Is halved (d) Does not change

35. A biconvex lens of glass (refractive index = 1.5) has faces of
radii 20 cm each. Its focal length in air is
(a) 30 cm (b) 20 cm (c) 21 cm (d) 3 cm

36. The moment of momentum is called
(a) Couple (b) Impulse (c) Angular momentum (d) Torque

37. Sound waves in air are:
(a) longitudinal (b) transverse
(c) longitudinal as well as transverse

38. A cell of emf 12 volt connected across a resistor R=7Ω draws a
current of 1.5A. The internal resistance of the cell is
(a) 0.5Ω (b) 1Ω (c) 1.5Ω (d) zero

39. The ratio of the rise in temperature of a gas when compared
adiabatically to that when compressed isothermally to the same
extent is
(a) Depends on the gas (b) More than 1
(c) Less than 1 (d) Equal to 1

40. The objective of a microscope forms
(a) virtual and enlarged image
(b) virtual and diminished image
(c) real and enlarged image
(d) real and diminished image

41. The moment of inertia of a body about an axis is I, and its
angular acceleration is α. Then I α is equal to
(a) Kinetic energy (b) The angular momentum
(c) The torque (d) Momentum'

42. The ratio of the magnetic induction to the magnetizing field is
called
(a) Magnetic potential (b) Hysteresis
(c) Susceptibility (d) Permeability

43. The equation for a stationary wave is given by y = cosx sint.
The wave length is (where x and y are in cm)
(a) 2π cm (b) π/2 cm (c) 4π cm (d) π cm

44. A hollow cylinder and a solid cylinder having the same mass and
same same diameter are released from rest simultaneously from
the top of an inclined plane. Which will reach the bottom first
(a) The solid cylinder
(b) The hollow cylinder
(c) Both will reach the bottom together
(d) The one having greater density

45. Static electricity can be produced by
(a) Chemical reaction (b) Friction
(c) Induction (d) Both by (b) & (c)

46. The distance between a town and a factory is 30km. A man
started to walk from the factory to the town at 6.30 am. While
a cyclist left the town for the factory at 6.40 am riding at a
speed of 18 km/hr. The man met the cyclist after walking 6 km.
The time at which they met is
(a) 7.30 am (b) 8.00 am (c) 8.10 am (d) 8.30 am

47. When the fast moving cathode ray particles are suddenly
stopped by a solid target of high melting point
(a) X- rays are produced (b) β- are produced
(c) α- are produced (d) Positive rays are produced

48. The separation between an object and screen is 120cm. You
are given a convex lens of focal length 25cm taking the
position object as origin location of lens to form a distinct
image on the screen is
(a) 30 & 90 cm (b) 40 & 80 cm
(c) 35.5 & 84.5 cm (d) 45 & 75 cm

49. A monoatomic ideal gas initially at 170C is suddenly compressed
to one eighth of its original volume. The temperature after
compression is
(a) 170C (b) 8870C (c) 1360C (d) none of the above

50. The material used for making a permanent magnet is
(a) Copper (b) Brass (c) Iron (d) Steel

Answers

1 D 11 A 21 C 31 C 41 C
2 A 12 A 22 D 32 D 42 D
3 D 13 A 23 B 33 B 43 A
4 B 14 B 24 B 34 D 44 A
5 B 15 C 25 D 35 B 45 D
6 A 16 C 26 A 36 C 46 B
7 C 17 D 27 C 37 A 47 D
8 B 18 B 28 C 38 B 48 C
9 C 19 C 29 D 39 B 49 B 10 A 20 B 30 D 40 C 50 D

CPMT Sample Paper Physics

1. A wound watch spring
(a) has no energy stored in it
(b) has KE stored in it
(c) has mechanical PE stored in it
(d) has electrical energy stored in it

2. Kirchoff's first law is related to
(a) conservation of energy
(b) conservation of momentum
(c) conservation of angular momentum
(d) conservation of charge

3. The difference between Cp and Cv is equal to the universal gas
constant when
(a) one gram of gas is heated
(b) any amount of gas is heated
(c) one molecule of gas is heated
(d) one gram molecule is heated

4. A wire is drawn so that its radius becomes halved. Its new
resistance
(a) increases to four times (b) decreases to four times
(c) increases to 16 times (d) decreases to 16 times

5. The product of moment of inertia (M.I) and angular acceleration
is
(a) force (b) torque (c) work (d) angular momentum

6. The ratio of angular speeds of seconds hand and minutes hand
of a watch is
(a) 60:1 (b) 1:60 (c) 30:1 (d) 1:30

7. A man moves on a cycle horizontally with a velocity 4 km/hr.
The rain is falling vertically with a velocity 3 km/hr. The direction
in which he should hold the umbrella is
(a) 370 with the vertical (b) 530 with the vertical
(c) vertically (d) 450 with the vertical

8. A particle is thrown upward with a certain initial speed. It
reaches the maximum height and subsequently returns back to
the initial point. Through out its motion, the kinematical quantity
which remains constant is
(a) displacement (b) speed (c) velocity (d) acceleration

9. The order of (2)30 is approximately
(a) 105 (b) 109 (c) 1015 (d) 1020

10. If the momentum of a body is increased by 60% its KE will be
increased by
(a) 50% (b) 100% (c) 125% (d) 156%

11. The excess of pressure inside one soap bubble is three times
that inside a second soap bubble. Their volume are in the ratio
(a) 1:81 (b) 1:27 (c) 1:3 (d) 1:9

12. A wire when connected across a source of emf liberates or
dissipates 60J/s. When it is stretched to double its length, the
heat liberated per second is
(a) 30 J (b) 120 J (c) 15 J (d) 240 J

13. Laplace corrected Newton's formula of velocity of sound
because sound waves in air
(a) Transverse (b) Propagate adiabatically
(c) are longitudinal (d) propagate isothermally

14. In which medium is the speed of sound maximum?
(a) air (b) water (c) iron (d) interstellar space

15. When three bulbs A, B and C in the resistance ratio 1:2:3 are
used separately in a house connection, the brightness is
(a) largest for C (b) largest for B
(c) largest for A (d) same for A, B and C

16. The following is an incorrect statement based on the first law
of thermodynamics
(a) The energy of an isolated system remains constant
(b) The heat transfer equals the work plus the energy change
(c) The heat transfer cannot exceed the work done
(d) The net heat transfer equals the net work done for a cycle

17. Four equal resistances are connected to form a square. The
effective resistance between any two diagonal points is 4Ω.
The resistance of each side is
(a) 4Ω (b) 8Ω (c) 2Ω (d) 16Ω

18. A liquid shows capillary rise. Then its angle of contact is
(a) acute (b) obtuse (c) 900 (d) 00

19. The dimensions of pressure gradient is
(a) ML-2T-2 (b) ML-2T-1 (c) ML-1T-1 (d) ML0T-2

20. Two simple harmonic motions of same amplitude, same
frequency and a phase difference of π results in the
displacement of the particle along a
(a) ellipse (b) circle (c) figure of eight (d) straight line

21. An instrument used for measuring the emf of a cell is
(a) tacho meter (b) ammeter (c) metre bridge (d) volt meter

22. When the area of cross section of a wire is halved and tension
is doubled, the frequency becomes
(a) same (b) two times (c) three times (d) four times

23. The percentage decrease in acceleration due to gravity when a
body is taken to a height 32 km from the surface of the earth
(a) 0% (b) 1% (c) 2% (d) 4%

24. A stone projected with a velocity 100 m/s reaches the highest
point in 5s. The angle of projection is
(a) 00 (b) 300 (c) 450 (d) 600

25. A boy throws an apple vertically up inside a train which is
accelerating along a straight line. The apple
(a) falls behind him
(b) falls ahead him
(c) returns straight to his hands
(d) follows a parabolic path as observed by the boy

26. Two vibrating systems are said to be in resonance if
(a) their amplitudes are equal
(b) their frequencies are equal
(c) their damping factors are equal
(d) their temperatures are the same

27. A mixture of hydrogen and oxygen is taken in a container at
constant temperature. The kinetic energy per molecule is
(a) greater than oxygen (b) greater for hydrogen
(c) same for both the gases (d) zero

28. The best conductor of electric current is
(a) silver (b) copper (c) aluminium (d) nichrome

29. The frequency of transverse vibration of a stretched string is
400 per second. If the tension is increased 4 times, its
frequency will be:
(a) 1600 per second (b) 100 per second
(c) 200 per second (d) 800 per second

30. Two spheres of the same size are made of the same metal, but
one is hollow ad the other is solid. They are heated to the
same temperature:
(a) both spheres will expand equally
(b) the solid sphere will expand more than the hollow one
(c) the solid sphere will expand but the hollow one will not
(d) the hollow sphere will expand more than the solid one

31. A cell is of emf 12 volts and internal resistance 2Ω. When it is
short circuited the current is
(a) zero (b) infinity (c) 12A (d) 6A

32. The weight of a body in air is W. When it floats in water its
weight is
(a) W (b) W/2 (c) zero (d) W/4

33. A spring stretched to a distance x has a PE=U. The additional
energy required to stretch to a distance 2x is
(a) U (b) 2U (c) 3U (d) 4U

34. A person travels along a straight road for the first half length
with a velocity 40 m/s and the second half length with a
velocity 60 m/s. The average velocity is given by
(a) 0 (b) 50 m/s (c) 48 m/s (d) 54 m/s

35. The melting point of substances that contract on melting
(a) decreases with increase in pressure
(b) increases with increase in pressure
(c) decreases at first and then increases with increase in
pressure
(d) is independent of pressure

36. The tension in a sonometer wire is increased four times. The
fundamental frequency becomes
(a) 8 times (b) 2 times (c) 16 times (d) 10 times

37. A river is 120m wide and flows at a speed of 1 m/s. Two
persons A and B can swim at 3 m/s. The approximate difference
in time taken by them to cross the river if A crosses through
shortest path and B in shortest time is
(a) 1 s (b) 2 s (c) 3 s (d) 4 s

38. 27 small liquid drops with radius 1 mm each are combined to
form a single drop. The radius of this large drop is
(a) 1 mm (b) 27 mm (c) 3 mm (d) 1.5 mm

39. A bulb is marked 100 W, 250 V. Then
(a) it always liberates 100J of light
(b) it always draws 0.4 A current
(c) its resistance is 625Ω
(d) all the above are correct

40. The physical quantity which remains unchanged when a sound
wave travels from one medium to another
(a) speed (b) wavelength (c) amplitude (d) frequency

41. Two copper wires have their lengths in the ratio 1:2 and radius
2:1. The ratio between their specific resistances is
(a) 8:1 (b) 4:1 (c) 2:1 (d) 1:1

42. The weight of lead of R.D = 11 which will balance 8gm of iron
of R.D = 8, when both are immersed in water is
(a) 11 gm (b) 8 gm (c) 7.7 gm (d) 8.8 gm

43. The number which has order of magnitude 3 is
(a) 5.01 (b) 5000 (c) 5001 (d) 5.00

44. The weight of an aeroplane in flight is balanced by:
(a) the upthrust of air displaced
(b) difference of pressure between the upper and lower
surfaces of the wings created by he difference of speeds of
air on the surfaces
(c) vertical component of the thrust created by air currents
striking the lower surface of the wings
(d) force due to the reaction of gases ejected by the revolving
propeller

45. A block has dimensions 10×8×4 cm. The ratio between
maximum resistance to minimum resistance formed by the block
is
(a) 5:2 (b) 25:4 (c) 5:4 (d) 1:1

46. Out of the following the one without much variation of
resistance with temperature is
(a) copper (b) silicon (c) constantan (d) nichrome

47. In a stationary wave in air the variation of pressure at nodes is
(a) maximum
(b) minimum
(c) three times the variation due to one wave alone
(d) none of these

48. At Mach number 2, the speed of an aeroplane will be:
(a) half the speed of sound
(b) double the speed of sound
(c) four times the speed of sound
(d) √2 times the speed of sound

49. If the error in measurement of length and time is 2% the
percentage error in velocity is
(a) 1 (b) 2 (c) 4

50. Electrons revolve in a circle with a frequency of 5 × 1014 Hz.
The current due to this is
(a) 5×1014 A (b) 8×10-5A (c) 3.2×10-31 A (d) zero

Answers

1 C 11 B 21 D 31 D 41 D
2 D 12 C 22 B 32 C 42 C
3 D 13 B 23 B 33 C 43 B
4 C 14 C 24 B 34 C 44 B
5 B 15 C 25 A 35 A 45 B
6 A 16 C 26 B 36 B 46 C
7 B 17 A 27 C 37 B 47 A
8 D 18 A 28 A 38 C 48 B
9 B 19 C 29 D 39 C 49 C 10 D 20 A 30 A 40 D 50 B

cpmt sample paper physics

1. When light wave suffers reflection at the interference from air to
glass, the change in phase of the reflected wave is equal to
(a) 0 (b) π/4 (c) 2π (d) π

2. Time of flight of a projectile projected up with a velocity of
10m/s at an angle 300 with the horizontal is (g=10 m/s2)
(a) 1/2 s (b) 1 s (c) 2 s (d) 3s

3. A 200W and 100W bulbs both meant for operation at 220V are
connected in parallel. Then the power consumed by them when
220V is applied will be
(a) 66W (b) 33W (c) 100W (d) 300W

4. A body is having uniform circular motion. A quantity that which
does not remain constant is
(a) angular velocity (b) velocity (c) speed (d) kinetic energy

5. The unit of pressure in SI is
(a) Pascal (b) Pounds per square inch
(c) Newton per cm2 (d) Watt

6. A ball is projected from the top of a tower at an angle 600 with
the horizontal. What happens to the horizontal component of its
velocity?
(a) increases continuously (b) decreases continuously
(c) remains unchanged (d) first decreases and then increases

7. The galaxy to which our solar system belongs is called
(a) milky way (b) radio galaxy (c) solar galaxy (d) dwarf galaxy

8. A bomb of mass 9kg at rest explodes into two pieces of masses
3kg and 6kg. The velocity of mass 3kg is 16m/s. The KE of mass
6kg in joule is
(a) 96 (b) 192 (c) 384 (d) 768

9. The transfer ratio β of a transistor is 50. The input resistance of
the transistor when used in the common emitter configuration is
1KΩ. The peak value of the collector ac current for an input
voltage 0.01V peak is
(a) 100 μA (b) 0.01mA (c) 500 μA (d) 50 μA

10. If momentum of a body becomes 3 times, kinetic energy
becomes
(a) 3 times (b) 6 times (c) 9 times (d) 27 times

11. The unit of impulse in SI is
(a) Newton-second (b) Dyne (c) Pound force (d) Watt

12. If g is the acceleration due to gravity on the earth, the
acceleration due to gravity on the sun is
(a) 24 g (b) 16 g (c) 32 g (d) 28 g

13. A cyclist is moving in a circular path with a uniform speed of
200 cm/s. The change in velocity after half revolution is
(a) zero (b) 200 cm/s (c) 4 m/s (d) 300 cm/s

14. In a junction diode holes are due to
(a) proton (b) neutrons
(c) missing electrons (d) extra electrons

15. Light of wave length 4000Å is incident on a metal plate whose
work function is 2eV. The maximum kinetic energy of the
emitted photo electrons would be
(a) 2eV (b) 1.5eV (c) 1.1eV (d) 0.5eV

16. A particle initially at rest is having uniformly accelerated
motion. Its velocity is plotted against displacement. The graph
obtained will be
(a) a straight line (b) a straight line with a negative slope
(c) a parabola (d) an ellipse

17. 540g of ice at 00C is mixed with with 540g of water at 800C.
The final temperature of the mixture is
(a) 00C (b) 400C (c) 800C (d) more than 800C

18. The diameters of two planets are in the ratio of 4:1 and their
mean densities in the ratio of 1:2. The acceleration due to
gravity on the surface of two planets will be in the ratio
(a) 4:1 (b) 1:8 (c) 1:2 (d) 2:1

19. The unit of acceleration in SI is
(a) km/hr (b) m/s2 (c) cm/s (d) mph

20. A frame which is moving with constant angular velocity is
(a) Inertial frame (b) Non inertial frame
(c) Frame of rest (d) Newtonian frame

21. A body starts from rest and covers a distance of 10m in first
second. The distance covered by it in 4 seconds will be
(a) 80m (b) 100m (c) 160m (d) 200m

22. If height of a man is 2m then minimum height of a plane mirror
in which he can have his full the image is
(a) 1/4m (b) 1/2m (c) 1m (d) 3/4m

23. An ideal heat engine exhausting heat at 270C is to have 25%
efficiency. It must take heat at
(a) 1270C (b) 2270C (c) 3270C (d) 6730C

24. A Plano-convex lens is made of refractive index 1.6. The radius
curvature of curved surface is 60cm. The focal length of the
lens is
(a) 5 cm (b) 100 cm (c) 200 cm (d) 500 cm

25. In the stable equilibrium position, body has
(a) minimum kinetic energy (b) minimum potential energy
(c) neither maximum nor minimum (d) maximum potential energy

26. Rainbow is formed due to
(a) scattering and total internal reflection
(b) scattering and diffraction
(c) dispersion and total internal reflection
(d) dispersion and reflection

27. Beats are produced by two waves y1 = a sin 2000πt and
y2 = a sin2008 πt. The number of beats heard per second is
(a) 0 (b) 4 (c) 8 (d) 8π

28. When there is no external force, the shape of a small liquid
drop is determined by
(a) surface tension of the liquid (b) density of the liquid
(c) viscosity of air (d) temperature if air

29. Two waves of wavelength 50cm and 51 cm produces 12 beats
per second. The velocity of wave is
(a) 306 m/s (b) 331 m/s (c) 340 m/s (d) 375 m/s

30. For a body which is moving along with lift with uniform velocity
upwards
(a) It's weight decreases
(b) It's weight increases
(c) It's weight remains the same
(d) may decrease or increase depending on magnitude of
velocity

31. The emf of a Daniel cell is
(a) 0.56 V (b) 1.08V (c) 2.56 V (d) 3.12 V

32. 24 cells each of internal resistance 0.5Ω are to be used to
send a maximum current through an external resistance of 3Ω.
The cell should be arranged as
(a) all in parallel (b) all in series
(c) 2 rows of 12 cells each (d) rows of 6 cells each

33. A body falling vertically downward under gravity breaks into
two parts of unequal masses. The centre of mass of the two
parts taken together shifts horizontally towards
(a) heavier piece
(b) lighter piece
(c) does not shift horizontally
(d) depends on the vertical velocity at the time of breaking

34. The energy of a wound spring is
(a) chemical (b) potential (c) kinetic (d) heat

35. After one α emission two β emissions
(a) mass number reduces by 2
(b) atomic number remains unchanged
(c) mass number reduces by 6
(d) (b) & (c) are correct

36. The earth magnetic field always has a vertical component
except at the
(a) magnetic equator (b) magnetic poles
(c) geographical north pole (d) geographical south pole

37. It has been postulated that there may be some particles
moving with speed greater than speed of light. Such particles
have been named as
(a) Mesons (b) Pions (c) Tachyons (d) Photons

38. One kg of water is evaporated from 6kg of sea water
containing 4% salt. The percentage of alt in the remaining
solution will be
(a) 1% (b) 3.33% (c) 4% (d) 4.8%

39. The velocity of rain drop attains a steady value because of
(a) viscous force exerted by air (b) surface tension effects
(c) air currents in the atmosphere (d) up thrust of air

40. Of the following the self adjusting force is
(a) Sliding friction (b) Static friction
(c) Dynamic friction (d) Limiting friction

41. Mirages are observed in deserts due to the phenomenon of
(a) interference of light (b) total reflection of light
(c) scattering of light (d) double refraction of light

42. The phenomenon of Brownian movement may be taken as
evidence of
(a) kinetic theory of matter (b) corpuscular theory of light
(c) electromagnetic theory of radiation (d) capillarity

43. The number of degrees of freedom of a diatomic gas is
(a) 2 (b) 3 (c) 4 (d) 5

44. For a particular angle of projection 150 the horizontal range
was found to be R. The other angle of projection which gives
the same horizontal range is
(a) 750 (b) 1050 (c) 450 (d) 200

45. Fermi is equal to
(a) 10-15 m (b) 10-14 m (c) 10-17 m (d) 10-12 m

46. The ratio of angular speeds of seconds hand and minutes hand
of a watch is
(a) 60:1 (b) 1:60 (c) 30:1 (d) 1:30

47. A stone of mass of 10 kg is attracted by the earth with a force
of
(a) 1000 N (b) 98 N (c) 9800 N (d) 980 N

48. Fraunhoffer lines are observed in the spectrum of
(a) hydrogen discharge tube (b) a carbon arc
(c) the sun (d) sodium vapour lamp

49. The percentage change in tension necessary in a sonometer of
fixed length to produce a note one octave higher than before is
(a) 25% (b) 300% (c) 400% (d) 50%

50. A particle is thrown upward with a certain initial speed. It
reaches the maximum height and subsequently returns back to
the initial point. Through out its motion, the kinematical
quantity which remains constant is
(a) displacement (b) speed (c) velocity (d) acceleration

Answers

1 D 11 A 21 C 31 B 41 B
2 B 12 D 22 C 32 C 42 A
3 D 13 C 23 A 33 C 43 D
4 B 14 C 24 B 34 B 44 A
5 A 15 C 25 B 35 D 45 A
6 C 16 C 26 C 36 A 46 A
7 A 17 A 27 B 37 C 47 B
8 B 18 D 28 A 38 D 48 C
9 C 19 B 29 A 39 A 49 B
10 C 20 B 30 C 40 A 50 D

CPMT Sample Paper

PHYSICS MODEL PAPER
1. A particle P is moving in a circle of radius a with a uniform
speed v. C is the centre of the circle and AB is the diameter.
The angular velocity of about A and C are in the ratio,
(a) 1 : 1 (b) 1 :2 (c) 2 :1 (d) 4 :2

2. A cube has numerically equal volume and surface area. The
volume of such a cube is
(a) 216 units (b) 1000 units (c) 2000 units (d) 3000 units

3. A person is standing on a turn table holding a pair of heavy
dumb bells, one in each hand with his arm outstretched. The
table is rotating with an angular velocity ω. The person
suddenly pushes the weight towards his chest. The angular
velocity of the turn table will
(a) become greater than ω
(b) become less than ω
(c) remain unchanged
(d) become 2ω if the masses of the dumb bells are equal

4. Two wires A and B of same material have their lengths in the
ratio 1:2 and their diameters in the ratio of 2:1. If they are
stretched with the same force, the ratio of the increase in
length of A to that of B will be
(a) 1:2 (b) 4:1 (c) 1:8 (d) 1:4

5. The speedometer of a car measures
(a) instantaneous speed
(b) average speed
(c) average acceleration
(d) instantaneous acceleration

6. A light body A and a heavy body B have equal linear
momentum. Then kinetic energy A is
(a) less than B
(b) equal to B
(c) zero
(d) greater than B

7. The released length of a spring is 0.3m and the spring constant
is 30N/m. If an external force F is used to stretch the spring
from 0.1 m to 0.2 m the work done by this force is
(a) 0.5 joule (b) 0.45 joule (c) 0.6 joule (d) 4.5 joule

8. In the given sets of unit which is not a unit of energy?
(a) Watt hour (b) Newton-meter (c) KG ms-1 (d) electron volt

9. On an application of a constant torque, a wheel initially at rest
is turned through an angle of 64 radian in 8 seconds. Its
angular acceleration is
(a) 2 rad/s2 (b) 3 rad/s2 (c) 1 rad/s2 (d) 4 rad/s2

10. The time period of satellite in a circular orbit of radius R is T.
The period of another satellite in a circular orbit of radius 4R is
(a) 4 T (b) T/4 (c) 8T (d) T/8

11. A body of mass 1kg initially at rest explodes and breaks into
three fragments of mass in the ratio 1:1:3. The two fragments
of equal masses fly off perpendicular to each other with a
velocity of 30 m/s. Velocity of heavier fragment is
(a) 24.1 ms-1 (b) 14.1 ms-1 (c) 141 ms-1 (d) 241 ms-1

12. A tank of volume 60 m3 is at a height of 40m above the
ground. If a pump of efficiency 60% can fill the tank in
15 minutes, the power consumed by the pump is
(a) 43.55 KW (b) 43.55 W (c) 4355 W (d) 435 KW

13. A hollow cylinder and a solid cylinder having the same mass and
same diameter are released from rest simultaneously from the
top of an inclined plane. Which will reach bottom first?
(a) the solid cylinder
(b) the hollow cylinder
(c) both will reach the bottom together
(d) the one having greater density

14. A box containing food supply is released from an airplane
moving horizontally at a height of 1600 ft with a velocity of
400 ft/sec. The box will move horizontally just before striking
against the earth through a distance
(a) 400 ft (b) 4000 ft (c) 6400 ft

15. A block of ice is floating in a liquid of specific gravity 1.2
contained in a beaker. When the ice melts completely, the level
of the liquid in the beaker
(a) will not change at all (b) will go down (c) will rise

16. The period of a satellite in a circular orbit near a planet is
independent of
(a) the mass of the planet (b) the radius of the planet
(c) the mass of the satellite (d) all the above

17. Of the basic forces existing nature, the most weak force is
(a) gravitational force
(b) electromagnetic force
(c) nuclear force
(d) weak force

18. A spring balance shows a reading 10 N when a stone of 0.5 kg
is suspended from it in a lift moving with a uniform acceleration.
The reading shown with same retardation is
(a) 10 N (b) 15 N (c) 0 (d) none of these

19. A metre stick is held vertically with one end on the floor and is
then allowed to fall. The speed of the other end when it hits
the floor assuming that the end at floor does not slip and
g=9.8 m/s2
(a) 3.2 m/s2 (b) 5.4 m/s2 (c) 7.6 m/s (d) 9.2 m/s

20. Two satellites A and B are orbiting around the earth in circular
orbits of the same radius. The mass of A is 16 times that of B.
The ratio of the period of revolution of B to that of A is
(a) 1:16 (b) 1:4 (c) 1:2 (d) 1:1

21. Two vectors of equal magnitude acting at a point have
resultant whose magnitude is equal to either of them. The
angle between the two vectors must be
(a) 00 (b) 1500 (c) 1200 (d) 600

22. A shell at rest explodes into two pieces of equal mass. The two
will be
(a) at rest
(b) move with different velocities in different directions
(c) same velocity in opposite directions
(d) same velocity in the same direction

23. The mass of a gas enclosed in a glass globe is increased from
M to 1.5M while the temperature remains constant. If the initial
pressure was 76 cm, calculate the final pressure.
(a) 114 cm (b) 50.66 cm (c) 22.8 cm (d) 19 cm

24. An inclined plane makes an angle of 300 with the horizontal. A
solid sphere rolling down the plane from rest without slipping
has a linear acceleration equal to
(a) g/3 (b) 2g/3 (c) 5g/7 (d) 5g/14

25. A river is flowing from west to east at a speed of 5 m/min. A
man on the south bank of the river capable of swimming at
10 m/min, in still water wants to swim across the river in the
shortest time. He should swim in the direction
(a) due north (b) 300 east of north
(c) 300 west of north (d) 600 east of north

26. A lorry and a car moving with the same kinetic energy are
brought to rest by the application of brakes, which provides
equal retarding forces. Then which of them will come to rest in
a short distance
(a) lorry (b) car
(c) both will cover same distance (d) data inadequate

27. A sphere of mass 4 kg strikes a spring whose force constant is
100 Nm-1 with a speed of 2 m/s. The kinetic energy of the
sphere when the spring is compressed by 0.1 m is
(a) 8 J (b) 7.5 J (c) 0.5 J (d) 8.5 J

28. Dimensions of power are
(a) [ML2T-3] (b) [M2LT-2] (c) [ML2T-1] (d) [MLT-2]

29. Which among the following is the largest when the time of
flight of a projectile is greatest?
(a) horizontal rage
(b) maximum height attained
(c) angle projectile with vertical
(d) both (a) and (b)

30. The dimensions of couple is
(a) [ML2T-2] (b) [MLT-2] (c) [ML1T-3] (d) [ML-2T-2]

31. When an explosive shell traveling in a parabolic path under the
gravity explodes. The centre of mass of the fragments will
continue to move
(a) along a hyperbolic path
(b) vertically upwards and then vertically downwards
(c) along the original parabolic path
(d) horizontally and then follows the parabolic path

32. The product of 0.0052 × 60000 expressed in scientific notation
is
(a) 3.12 × 102 (b) 3.12 × 10-2 (c) 3.12 × 104 (d) 3.12 × 10-5

33. A weight suspended from a spring oscillates up and down.
Acceleration of the weight is zero at
(a) the highest point of its path
(b) the lowest point of its path
(c) the middle point of its path

34. In a circus a rider rides in circular track of radius R in the
vertical plane. The minimum velocity at highest point of track
will be
(a) √(2gR) (b) 2gR (c) √(3gR) (d) √(gR)

35. A ball is thrown upwards and it returns to ground describing a
parabolic path. Which of the following remains constant?
(a) kinetic energy of the ball
(b) speed of the ball
(c) the horizontal component of velocity
(d) the vertical component of momentum

36. The dimensions of gravitational constant G are
(a) [MLT-2] (b) [ML3T-2] (c) [M-1L3T-2] (d) [M-1LT-2]

37. A machine gun fires 20g bullet at the rate of 10 per second
with a speed of 500 ms-1. If the mass of the gun is 10kg, the
force required to hold the gun in position is
(a) 10 N (b) 100 N (c) 1000 N (d) 10 dynes

38. A body is released from a great height and falls freely towards
the earth. Another body is released from the same height
exactly one second later. Then the separation between two
bodies, 2 seconds after the release of the second body is
(a) 4.9 m (b) 9.8 m (c) 19.6 m (d) 24.5 m

39. A stone thrown vertically upwards from the top of a tower
reaches the ground with speed 30 m/s. If the initial speed is
10 m/s, the height of the tower is
(a) 10 m (b) 100 m (c) 40 m (d) 800 m

40. A box is dragged across a floor by a rope which makes an angle
600 with the horizontal. The tension in the rope is 200N, while
the box is dragged 20m. The work done is
(a) 200 J (b) 3464 J (c) 2000 J (d) 346.4 J

41. The density of a cube is measured by measuring mass and the
length of its side. If the maximum errors in the measurement of
mass and length are 3% and 2% respectively, the maximum
error in the measurement of the density is
(a) 1% (b) 5% (c) 7% (d) 9%

42. A uniform metre scale initially in the vertical direction is turned
through 450 with bottom end fixed. The percentage fall in its
potential energy
(a) 29% (b) 42% (c) 25% (d) 33%

43. The centre of mass of a right circular cone of height h is
(a) on the axis at a distance h/4 from the base of the cone
(b) on the axis at a distance h/3 from the base of the cone
(c) on the axis at a distance h/2 from the base of the cone
(d) on the base of the cone at its distance

44. The unit of energy is
(a) J/S (b) Watt × Day (c) Kilowatt (d) g. cm/s2

45. The measured mass and volume of a body are 22.42gm and
4.7 cm2 respectively with possible error 0.01gm and 0.1 cm3.
The maximum error in density is
(a) 0.2% (b) 2% (c) 5% (d) 10%

46. Railway tracks are banked on curves so that:
(a) the train may not fall down inwards
(b) the weight of the train may be reduced
(c) necessary centripetal force may be obtained from the
horizontal component of the normal reaction due to the track
(d) no frictional force may be produced between the wheels
and the track

47. A body travels three equal distances with speeds 10 m/s,
20 m/s and 30 m/s respectively. The average speed will be
(a) 20 m/s (b) 16.36 m/s (c) 31.20 m/s (d) 25.12 m/s

48. A body moves a distance of 10m along a straight line under the
action of a force of 5N. If the work done is 25J, the angle
which the force makes with the direction of motion of the body
is
(a) 00 (b) 300 (c) 600 (d) 900

49. What will happen if a stream of air is blown through a tube
under one of the pans of a physical balance in equilibrium?
(a) the pan will go up
(b) the pan will go down
(c) the pan will remain unaffected
(d) the pan may go up or down depending upon the metal of
which the pan is made

50. A car covers the first half of the distance between two places
at a speed of 40 km/hr and the second half at 60 km/hr. Then
the average speed of the car is
(a) 50 km/hr (b) 48 km/hr (c) 100 km/hr (d) 55 km/hr

Answers

1 B 11 B 21 C 31 C 41 D
2 A 12 A 22 C 32 A 42 A
3 A 13 A 23 A 33 C 43 A
4 C 14 B 24 D 34 D 44 B
5 A 15 C 25 A 35 C 45 B
6 D 16 C 26 C 36 C 46 C
7 B 17 A 27 B 37 B 47 B
8 C 18 A 28 A 38 D 48 C
9 A 19 B 29 D 39 C 49 B
10 C 20 D 30 A 40 C 50 B