# NCERT Physics Class 11 Exemplar Ch 14 Oscillations Part 1

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## MCQ I

1. The displacement of a particle is represented by the equation

The motion of the particle is

(a) Simple harmonic with period.

(b) Simple harmonic with period.

(c) Periodic but not simple harmonic.

(d) Non-periodic.

Ans: (b)

2. The displacement of a particle is represented by the equation . The motion is

(a) Non-periodic.

(b) Periodic but not simple harmonic.

(c) Simple harmonic with period

(d) Simple harmonic with period.

Ans: (b)

3. The relation between acceleration and displacement of four particles are given below:

(a)

(b) .

(c) .

(d) .

Which one of the particles is executing simple harmonic motion?

Ans: (d)

4. 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.

Ans: (c)

5. A particle is acted simultaneously by mutually perpendicular simple hormonic motions and . The trajectory of motion of the particle will be

(a) An ellipse.

(b) A parabola.

(c) A circle.

(d) A straight line.

Ans: (c)

6. The displacement of a particle varies with time according to the relation.

(a) The motion is oscillatory but not S.H.M.

(b) The motion is S.H.M. with amplitude.

(c) The motion is S.H.M. with amplitude.

(d) The motion is S.H.M. with amplitude.

Ans: (d)

7. Four pendulums A, B, C and D are suspended from the same elastic support as shown in Fig. 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.

Ans: (b)

8. Figure 2. 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)

(b)

(c) .

(d)

Ans: (a)

9. The equation of motion of a particle is.

The motion is

(a) Periodic but not oscillatory.

(b) Periodic and oscillatory.

(c) Oscillatory but not periodic.

(d) Neither periodic nor oscillatory.

Ans: (c)

10. A particle executing S.H.M. has a maximum speed of and a maximum acceleration of. The period of oscillation is

(a) .

(b) s.

(c) 2π s

(d) s.

Ans: (a)

11. When a mass m is connected individually to two springs and, the oscillation frequencies are and. If the same mass is attached to the two springs as shown in Fig. 3, the oscillation frequency would be

(a)

(b)

(c)

(d)

Ans: (b)