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## Class 11 Physics Objective Chapter – 14 Oscillations

1. In damped oscilation the directions of the restoring force and the resistive force

( a ) are the same

( b ) are opposite

( c ) may be same or opposite

( d ) have no relation with each other

**Ans:-( c )**

2. In S.H.M, the vibration of which of the following is not a sine curve?

( a ) Timeperiod

( b ) Velocity

( c ) Displacement

( d ) Acceleration

**Ans:-( a )**

3. In S.H.M., the particle is

( a ) always accelerated

( b ) always retarded.

( c ) neither accelerated nor retarded.

( d ) accelerated and retarded alternately.

**Ans:-( d )**

4. A particle
executes simple harmonic motion between x = – A and x = + A. The time taken for
it to go from O to A/2 is T_{1} and T_{1 }and to go
from A/2 to A is T_{2}. Then

( a ) T_{1} <
T_{2}

( b ) T_{1} >
T_{2}

( c ) T_{1} =
T_{2}

( d ) T_{1} =
2T_{2}

**Ans:-( a )**

5. The equation of SHM is y = a Sin ( 2 pnt + α ) , then its phase at time ‘t’ is

( a ) α

( b ) 2pnt

( c ) 2pnt + α

( d ) 2πt

**Ans:-( c )**

6. The function sin ω t – cos ωt represents

( a ) a simple harmonic motion with a period π/ω.

( b ) a simple harmonic motion with a period 2π/ω.

( c ) a
periodic, but not simple harmonic motion with a period π/__ω__.

( d ) a periodic, but not simple harmonic motion with a period 2π/ω.

**Ans:-( b )**

7. Which of the following is not essential for S.H.M.?

( a ) Gravity

( b ) Restoring force

( c ) Inertia

( d ) Material medium

**Ans:-( a )**

8. The displacement y of a particle executing periodic motion is given by y = 4 cos² ( t/2 ) sin ( 1000t ) . This expression may be considered to be a result of superposition of the following number of harmonic motions

( a ) two

( b ) three

( c ) four

( d ) five

**Ans:-( b )**

9. Damping in oscillatory motion is caused by

( a ) Friction

( b ) Restoring force

( c ) Both restoring force and friction

( d ) Neither friction nor restoring force

**Ans:-( a )**

10.Grap of potential energy vs. displacement of a S.H. Oscillator is

( a ) parabolic

( b ) hyperbolic

( c ) elliptical

( d ) linear

**Ans:-( a )**

11. For an oscillating simple pendulum, the tension in the string is

( a ) maximum at extreme position

( b ) maximum at mean position

( c ) constant throughout the motion

( d ) cannot be predict

**Ans:-( b )**

12. In SHM, the acceleration is directly proportional to

( a ) time

( b ) linear velocity

( c ) displacement

( d ) frequency

**Ans:-( c )**

13. A block of
mass 200 g executing SHM under the influence of a spring of spring constant k =
90 N m^{–1} and a damping constant b = 40 g s^{–1}. The
time elapsed for its amplitude to drop to half of its initial value is ( Given
ln ( 1/2 ) = –0.693 )

( a ) 7 s

( b ) 9 s

( c ) 4 s

( d ) 11 s

**Ans:-( a )**

14. The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hall near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time -period of the oscillation would

( a ) first decrease and then increase to the original value

( b ) first increase and then decrease to the original value

( c ) increase towards a saturation value

( d ) remain unchanged

**Ans:-( b )**

15. Spring is pulled down by 2 cm. What is amplitude of motion?

( a ) 0 cm

( b ) 6 cm

( c ) 2 cm

( d ) cm

**Ans:-( c )**

16. What determines the frequency of natural oscillations of the system?

( a ) Elasticity alone

( b ) Inertia alone

( c ) Both elasticity and inertia

( d ) Neither elasticity nor inertia

**Ans:-( c )**

17. In the case of forced oscillations, which of the following statements is not true?

( a ) frequency equals that of external periodic force

( b ) amplitude depends upon the damping coefficient

( c ) amplitude tends to infinity at resonance

( d ) higher the damping coefficient, lower is the amplitude at resonance

**Ans:-( c )**

18. A simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to

( a ) Air friction

( b ) Moment of inertia

( c ) Weight of the bob

( d ) Combination of all the above

**Ans:-( a )**

19. The displacement of a particle in simple harmonic motion in one time period is [A = amplitude]

( a ) A

( b ) 2 A

( c ) 4 A

( d ) Zero

**Ans:-( d )**

20. A particle executes SHM of type x = Asinwt. It takes time t1 from x = 0 to x = A/2 and t2 from x = A/2 to x = A. The ratio t1 : t2 will be

( a ) 1 : 1

( b ) 1 : 2

( c ) 1 : 3

( d ) 2 : 1

**Ans:-( b )**

21. The restoring force acting on the particle executing S.H.M. is

( a ) directly proportional to displacement.

( b ) inversely proportional to displacement.

( c ) directed in the same direction as the displacement.

( d ) independent of displacement.

**Ans:-( a )**

22. One of the two clocks on the earth is controlled by a pendulum and other by a spring. If both the clocks are taken to the moon, then which clock will have the same time – period of the earth?

( a ) spring clock

( b ) pendulum clock

( c ) both

( d ) none

**Ans:-( a )**

23. Which of the following quantities connected with S.H.M. do not vary periodically?

( a ) Displacement

( b ) Velocity

( c ) Acceleration

( d ) Total energy

**Ans:-( d )**

24. In SHM, the acceleration is directly proportional to

( a ) displacement

( b ) time

( c ) linear velocity

( d ) frequency

**Ans:-( a )**

25. The ratio of energies of oscillations of two exactly identical pendulums oscillating with amplitudes 5 cm and 10 cm is : ( a ) 1 : 2 ( b ) 2 : 1 ( c ) 1 : 4 ( d ) 4 : 1 61. A child swinging on wing in sitting position stands up. The time period of the swing will

( a ) increase

( b ) decrease

( c ) remain same

( d ) increase if the child is tall and decrease if the child is short.

**Ans:-( c )**

26. For a body executing simple harmonic motion, which parameter comes out to be non-periodic ?

( a ) Displacement

( b ) Velocity

( c ) Acceleration

( d ) None of these

**Ans:-( d )**

27. Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?

( a ) a = 0.7 x

( b ) a = –200 x2

( c ) a = –10 x

( d ) a = 100 x3

**Ans:-( c )**

28. A particle
executing SHM has a maximum speed of 30 cm/s and a maximum acceleration of 60
cm/s^{2}. The period of oscillation is

( a ) πs

( b ) π/2 s

( c ) 2 πs

( d ) π/t s

**Ans:-( a )**

29. When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude?

( a ) 10 cm

( b ) 5 cm

( c ) 2.5 cm

( d ) 20 cm

**Ans:-( a )**

30. Which of the following characteristics does not change due to the damping of S.H.M.?

( a ) Amplitude

( b ) Time period

( c ) Angular frequency

( d ) Initial phase

**Ans:-( d )**

31. The acceleration of particle executing S.H.M. when it is at mean position is

( a ) Infinite

( b ) Varies

( c ) Maximum

( d ) Zero

**Ans:-( d )**

32. A spring-mass system oscillates with a frequency n. If it istaken in an elevator slowly accelerating upward, the frequency will

( a ) increase

( b ) decrease

( c ) remain same

( d ) become zero

**Ans:-( c )**

33. A system exhibiting SHM must possess

( a ) inertia only

( b ) elasticity as well as inertia

( c ) elasticity, inertia and an external force

( d ) elasticity only

**Ans:-( b )**

34. A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A block of mass m is suspended from this balance when displaced and released, it oscillates with a period 0.5 s. The value of m is ( Take g = 10 m s–2 )

( a ) 8 kg

( b ) 12 kg

( c ) 16 kg

( d ) 20 kg

**Ans:-( c )**

35. The equation of motion of a particle is x = a cos ( αt ) 2. The motion is

( a ) periodic but not oscillatory

( b ) periodic and oscillatory

( c ) oscillatory but not periodic

( d ) neither periodic nor oscillatory

**Ans:-( c )**

36. For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes

( a ) Half of initial value

( b ) One fourth of initial value

( c ) Double of initial value

( d ) Four time initial value

**Ans:-( c )**

37. Which of the following is not the characteristic of S.H.M.?

( a ) Periodic nature

( b ) Displacement time graph is a sine curve.

( c ) Acceleration is zero at mean position.

( d ) Projection of a uniform circular motion on any straight line.

**Ans:-( d )**

38. For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes

( a ) Half of initial value

( b ) One fourth of initial value

( c ) Double of initial value

( d ) Four time initial value

**Ans:-( c )**

39. Select the correct statement( s ) from the following

I. Motion of a satellite and a planet is periodic as well as SHM.

II. Mass suspended by a spring executes SHM.

III. Motion of a simple pendulum is always SHM.

( a ) I only

( b ) II only

( c ) I and II

( d ) I, II and III

**Ans:-( b )**

40. A particle moves in a circular path with a uniform speed. Its motion is

( a ) periodic

( b ) oscillatory

( c ) simple harmonic

( d ) angular simple harmonic

**Ans:-( a )**

41. A particle
executes simple harmonic motion between x = – A and x = + A. The time taken for
it to go from 0 to A/2 is T_{1} and to go from A/2 to A is T_{2}.
Then

( a ) T_{1} <
T_{2}

( b ) T_{1} >
T_{2}

( c ) T_{1} =
T_{2}

( c ) T_{1} =
2T_{2}

**Ans:-( a )**

42. If a simple
harmonic oscillator has got a displacement of 0.02 m and acceleration equal to
2.0 ms^{-2} at any time, the angular frequency of the oscillator
is equal to

( a )10 rad s^{-1}

( b )1 rad s^{-1}

( c )100 rad s^{-1}

( d )1 rad s^{-1}

**Ans:-( a )**

43. Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,

( a ) T

( b ) 1.02 T

( c ) 0.99 T

( d ) 1.01 T

**Ans:-( c )**

44. The amplitudes of two similar pendulums are 2 cm and 5 cm. The ratio of their energies is

( a ) 2 : 5

( b ) 5 : 2

( c ) 4 : 25

( d ) None of the above

**Ans:-( c )**

45. A system exhibiting SHM must possess

( a ) elasticity as well as inertia

( b ) elasticity, inertia and an external force

( c ) elasticity only

( d ) inertia only

**Ans:-( a )**

46. A simple
spring has length l and force constant K. It is cut into two springs of lengths
l_{1} and l_{2} such that l_{1} = n l_{2} (
n = an integer ) . The force constant of spring of length l1 is

( a ) K ( 1 + n )

( b ) ( K/n ) ( 1 + n )

( c ) K

( d ) K/( n + 1 )

**Ans:-( b )**

47. The displacement of a particle is given by r = A ( i coswt + jsinwt ) r . The motion of the particle is

( a ) simple harmonic

( b ) on a straight line

( c ) on a circle

( d ) with constant acceleration.

**Ans:-( c )**

48. When the displacement of a particle executing SHM is one-fourth of its amplitude, what fraction of the total energy is the kinetic energy?

( a ) 16/15

( b ) 15/16

( c ) 3/4

( d ) 4/3

**Ans:-( b )**

49. The period of a simple harmonic oscillator is 2 sec. The ratio of its maximum velocity and maximum acceleration is

( a ) Π

( b ) 1/Π

( c ) 2Π

( d ) 4∏

**Ans:-( b )**

50. In the case of forced oscillations, which of the following statements is not true

( a ) frequency equals that of external periodic force

( b ) amplitude depends upon the damping coefficient

( c ) amplitude tends to infinity at resonance

( d ) higher the damping coefficient, lower is the amplitude at resonance

**Ans:-( c )**

51. The amplitude of a simple harmonic oscillator is doubled, then

( a ) its energy is doubled.

( b ) maximum velocity is doubled.

( c ) time period is doubled.

( d ) time period remains same.

**Ans:-( d )**