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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 T1 and T1 and to go from A/2 to A is T2. Then
( a ) T1 < T2
( b ) T1 > T2
( c ) T1 = T2
( d ) T1 = 2T2
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/s2. 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 T1 and to go from A/2 to A is T2. Then
( a ) T1 < T2
( b ) T1 > T2
( c ) T1 = T2
( c ) T1 = 2T2
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 l1 and l2 such that l1 = n l2 ( 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 )
