# Oscillations MCQ Class 11 Physics

Please refer to Chapter 14 Oscillations MCQ Class 11 Physics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 11 Physics. Students should refer to MCQ Questions for Class 11 Physics with Answers to score more marks in Grade 11 Physics exams. Students should read the chapter Oscillations and then attempt the following objective questions.

## MCQ Questions Class 11 Physics Chapter 14 Oscillations

The Oscillations MCQ Class 11 Physics provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

Question. A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle q with the vertical. The restoring force acting on the pendulum, is
(a) mg tan θ
(b) mg sin θ
(c) -mg sinθ
(d) -mg cosθ

C

Question. The period of thin magnet is 4 sec. if it is divided into two equal halves then the time period of each part will be
(a) 4 sec
(b) 1 sec
(c) 2 sec
(d) 8 sec

C

Question. A spring of force constant k is cut into two pieces such that on piece is double the length of the other. Then the long piece will have a force constant of
(a) 2 k/3
(b) 3 k/2
(c) 3 k
(d) 6 k

B

Question. If the frequency of the particle executing S.H.M. is n, the frequency of its kinetic energy becoming maximum is
(a) n/2
(b) n
(c) 2n
(d) 4n

C

Question. Particle moves from extreme position to mean position, its
(a) Kinetic energy increases, potential increases decreases
(b) Kinetic energy decreases, potential increases
(c) Both remains constant
(d) Potential energy becomes zero and kinetic energy remains constant

A

Question. 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

C

Question. Spring is pulled down by 2 cm. What is amplitude of motion?
(a) 0 cm
(b) 6 cm
(c) 2 cm
(d) cm

C

Question. The time-period of S.H.O. is 16 sec. Starting from mean position, its velocity is 0.4 m/s after 2 sec. Its amplitude is
(a) 0.36 m
(b) 0.72 m
(c) 1.44 m
(d) 2.88 m

C

Question. A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will
(a) Remain unchanged
(b) Increase
(c) Decrease
(d) Become erratic

B

Question. The acceleration of particle executing S.H.M. when it is at mean position is
(a) Infinite
(b) Varies
(c) Maximum
(d) Zero

D

Question. A particle is executing S.H.M. according to the equation x t = 5 cos {2πt + π/4} in SI units. The  displacement and acceleration of the particle at t = 1.5 s is
(a) –3.0 m, 100 m s–2
(b) +2.54 m, 200 m s–2
(c) –3.54 m, 140 m s–2
(d) +3.55 m, 120 m s–2

C

Question. A uniform bar with mass m lies symmetrically across two rapidly rotating fixed rollers, A and B with distance L = 2.0 cm between the bar’s centre of mass and each roller. The rollers, whose directions of rotation are shown in figures slip against the bar with coefficient of kinetic friction μk = 0.40. Suppose the bar is displaced horizontally by a distance x as shown in figure and then released. The angular frequency w of the resulting horizontal simple harmonic motion of the bar is (in rad s–1)

(a) 14
(b) 15
(c) 16
(d) 17

A

Question. If the frequency of human heart beat is 1.25 Hz, the number of heart beats in 1 minute is
(a) 80
(b) 65
(c) 90
(d) 75

D

Question. Two identical springs of spring constant k are attached to a block of mass m and to fixed  supports as shown in the figure. The time period of oscillation is

B

Question. A particle executes a linear S.H.M. with an amplitude of 4 cm. At the mean position the velocity of the particle is 10 cm/s. What is the displacement of the particle when its speed becomes 5 cm/s?
(a) 2 (√3) cm
(b) 2 (√5) cm
(c) 5 cm
(d) 3 cm

A

Question. A particle performs simple harmonic motion with a period of 2 seconds. The time taken by it to cover a displacement equal to half of its amplitude from the mean position is
(a) 1/2 s
(b) 1/3 s
(c) 1/4 s
(d) 1/6 s

D

Question. A point particle oscillates along the x-axis according to the law x = x0cos(ωt – π/4). If the acceleration of the particle is written as a = Acos(ωt + δ), then
(a) A = x0ω2, δ = 3π/4
(b) A = x0, δ = –π/4
(c) A = x0ω2, δ = π/4
(d) A = x0ω2, δ = –π/4

A

Question. A uniform rod of length ∫ and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constant k. The springs are fixed to rigid support as shown in figure and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle q in  one direction and released. The frequency of oscillation is

C

Question. 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

Question. Which of the following examples represent periodic motion as well as simple harmonic  motion?
(a) A swimmer completing one (return) trip from one bank of a river to the other and back.
(b) A freely suspended bar magnet displaced from its N-S direction and released.
(c) A hydrogen molecule rotating about its centre of mass.
(d) An arrow released from a bow.

B

Question. Which of the following examples represent periodic but not simple harmonic motion?
(a) The rotation of earth about its axis.
(b) Motion of an oscillating mercury column in a U-tube.
(c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.
(d) All of the above

A

Question. The displacement of a particle varies with time according to the relation y = a sin wt + 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

D

Question. The displacement-time graph for a particle executing SHM is as shown in figure.

Which of the following statements is correct?
(a) The velocity of the particle is maximum at t = 3/4 T.
(b) The velocity of the particle is maximum at t = T/2 .
(c) The acceleration of the particle is maximum at t = T/4 .
(d) The acceleration of the particle is maximum at t = 3/4 T.

A

Question. A particle executing SHM has a maximum speed of 30 cm s–1 and a maximum acceleration  of 60 cm s–2. The time period of oscillation is
(a) π s
(b) π/2 s
(c) π/4 s
(d) 2π s

A

Question. A tray of mass M = 10 kg is supported on two identical springs, each of spring constant k, as shown in figure. When the tray is depressed a little and released, it executes simple harmonic motion of period 1.5 s. When a block of mass m is placed on the tray, the period of oscillation becomes 3 s. The value of m is

(a) 10 kg
(b) 20 kg
(c) 30 kg
(d) 40 kg

C

Question. In damped oscillation, the angular frequency of the oscillator
(a) keeps on decreasing
(b) keeps on increasing
(c) remains the same
(d) fluctuates

C

Question. A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration a, the time period of the pendulum will
(a) Increase
(b) Decrease
(c) Remain unaffected
(d) Become infinite

B

Question. Grap of potential energy vs. displacement of a S.H. Oscillator is
(a) parabolic
(b) hyperbolic
(c) elliptical
(d) linear

A

Question. If an simple pendulum oscillates with an amplitude of 50 mm and time period of 2s, then its  maximum velocity is
(a) 0.10 m/s
(b) 0.16 m/s
(c) 0.25 m/s
(d) 0.5 m/s

B

Question. The period of oscillation of a mass M, having from a spring of force constant k is T. When  additional mass m is attached to the spring, the period of oscillation becomes 5T/4. m/M =
(a) 9 : 16
(b) 25 : 16
(c) 25 : 9
(d) 19 : 9

D

Question. 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

B

Question. The period of oscillation of a simple pendulum of constant length at earths surface is T, it period inside a mine is
(a) Greater than T.
(b) Less than T.
(c) Equal to T.
(d) Cannot be compared

A

Question. In simple harmonic motion which statement is wrong.
(a) A body in S.H.M. its velocity maximum at mean position
(b) A body in S.H.M. its K.E. less at extreme position
(c) A body in S.H.M. its acceleration more at extreme position its directions away from mean position
(d) A body in S.H.M its acceleration less at mean position