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.

[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

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

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?

[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

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

Answer: A, B, D

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

[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

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

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

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

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

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

[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)

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,

[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

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

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

Answer: a circle

(14) Motion of an oscillating liquid column in a U-tube is

[A] periodic but not simple harmonic

[B] non-periodic

[C] simple harmonic and time period is independent of the density of the liquid

[D] simple harmonic and time period is directly proportional to the density of the liquid

Answer: simple harmonic and time period is independent of the density of the liquid

(15) The relation between acceleration and displacement of four particles are given below:

[A] a_x = +2x

[B] a_x = +2x²

[C] a_x = -2x²

[D] a_x = -2x

Answer: a_x = -2x

(16) The displacement of a particle is represented by the equation y = sin³ ωt. The motion is

[A] non-periodic

[B] periodic but not simple harmonic

[C] simple harmonic with period 2π/ω

[D] simple harmonic with period π/ω

Answer: simple harmonic with period 2π/ω

(17) The displacement of a particle is represented by the equation y = 3 cos(π/4 – 2ωt). The motion of the particle is

[A] simple harmonic with period 2p/w

[B] simple harmonic with period π/ω

[C] periodic but not simple harmonic

[D] non-periodic

Answer: simple harmonic with period π/ω

(18) Which of the following does not exhibit polarization

[A] Longitudinal wave in a gas

[B] Transverse wave in a gas

[C] Neither (a) nor (b)

[D] Both (a) and (b)

Answer: Longitudinal wave in a gas

(19) he length of the pendulum which is displaying SHM is increased by 21%. Calculate the percentage increase in the periodic time of the pendulum.

[A] 21%

[B] 10%

[C] 11%

[D] 42%

Answer: 10%

(20) The observer hears a sound from the source which is moving away from the observer who is stationary. Determine the frequency of the sound

[A] It is halved

[B] It remains the same

[C] It reaches infinity

[D] It gets doubled

Answer: It is halved

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