Objective Type Questions & Answers On Class 11 Physics Chapter 14 Oscillations

1 A particle is in linear simple harmonic motion between two points A and B, 10 cm apart. Taken the direction from A to B as the +ve direction and choose the correct statements.

Oscillations

A the sign of velocity, acceleration, and force on the particle when it is 3 cm away from A going towards B are positive

B the sign of velocity of the particle at C going towards O is negative

C the sign of velocity, acceleration, and force on the particle when it is 4 cm away from B going towards A are negative

D the sign of acceleration and force on the particle when it is at point B is negative

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Answer:A, C, D

2 A body is performing SHM. Then its

A average total energy per cycle is equal to its maximum kinetic energy

B average kinetic energy per cycle is equal to half of its maximum kinetic energy

C mean velocity over a complete cycle is equal to 2/π times of its maximum velocity

D root mean square velocity is 1/√2 times of its maximum velocity

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Answer:A, B, D

3 The displacement time graph of a particle executing SHM is shown in the figure. Which of the following statement is/are true?

Oscillations

A the force is zero at t = 3T/4

B the acceleration is maximum at t = 4T/4

C the velocity is maximum at t = T/4

D the PE is equal to KE of oscillation t = T/2

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Answer:A, B, C

4 Which of the following statements is/are true for a simple harmonic oscillator?

A force acting is directly proportional to the displacement from the mean position and opposite to it

B motion is periodic

C acceleration of the oscillator is constant

D the velocity is periodic

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Answer:A, B, D

5 Displacement versus time curve for a particle executing SHM is shown in the figure. Choose the correct statements.

Oscillations

A phase of the oscillator is same at t = 0 s and t = 2 s

B phase of the oscillator is the same at t = 2 s and t = 6 s

C phase of the oscillator is the same at t = 1 s and t = 7 s

D phase of the oscillator is the same at t = 1 s and t = 5 s

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Answer:B, D

6 The motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is

A simple harmonic motion

B non-periodic motion

C periodic motion

D periodic but not SHM

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Answer:A, B

7 The rotation of the earth about its axis is

A periodic motion

B simple harmonic motion

C periodic but not simple harmonic motion

D non-periodic motion

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Answer:A, C

8 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

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Answer:πs

9 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

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Answer:oscillatory but not periodic

10 Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution, and the initial position are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P is

Oscillations

A x(t) = B sin (2πt/30)

B x(t) = B cos (πt/15)

C x(t) = B sin (πt/15 + π/2)

D x(t) = B cos (πt/15 + π/2)

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Answer:x(t) = B sin (2πt/30)

11 Four pendulums A, B, C, and D are suspended from the same elastic support as shown in the figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,

Oscillations

A D will vibrate with maximum amplitude

B C will vibrate with maximum amplitude

C B will vibrate with maximum amplitude

D all the four will oscillate with equal amplitude

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Answer:C will vibrate with maximum amplitude

12 The displacement of a particle varies with time according to the relation y = a sin ωt + b cos ωt

A the motion is oscillatory but not SHM

B the motion is SHM with amplitude a + b

C the motion is SHM with amplitude a² + b²

D the motion is SHM with amplitude √a² + b²

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Answer:the motion is SHM with amplitude √a² + b²

13 A particle is acted simultaneously by mutually perpendicular simple harmonic motions x = a cos ωt and y = a sin ωt. The trajectory of motion of the particle will be

A an ellipse

B a parabola

C a circle

D a straight line

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