## Case Study Questions for Class 11 Physics Chapter 14 Oscillations

**Case Study Questions:**

**Question 1:**

**Simple Harmonic Motion**

Simple harmonic motion is the simplest form of oscillation. A particular type of periodic motion in which a particle moves to and fro repeatedly about a mean position under the influence of a restoring force is termed as simple harmonic motion (S.H.M).

A body is undergoing simple harmonic motion if it has an acceleration which is directed towards a fixed point, and proportional to the displacement of the body from that point.

**1. **Which of the following is not a characteristic of simple harmonic motion?

(a) The motion is periodic.

(b) The motion is along a straight line about the mean position.

(c) The oscillations are responsible for the energy conversion.

(d) The acceleration of the particle is directed towards the extreme position.

**2. **The equation of motion of a simple harmonic motion is

**3. **Which of the following expressions does not represent simple harmonic motion?

(a) *x *= *A*cosw*t *+ *B*sinw*t*

(b) *x *= *A*cos(w*t *+ a)

(c) *x *= *B*sin(w*t *+ b)

(d) *x *= *A*sinw*t *cos^{2}w*t*

**4. **The time period of simple harmonic motion depends upon

(a) amplitude

(b) energy

(c) phase constant

(d) mass

**5. **Which of the following motions is not simple harmonic?

(a) Vertical oscillations of a spring

(b) Motion of a simple pendulum

(c) Motion of planet around the Sun

(d) Oscillation of liquid in a U-tube

Answers

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Answer:1. (d) : In SHM, the acceleration of the particle is directed towards the mean position.

2. (a)

3. (d) : Simple harmonic motion is represented by a sine function or a cosine function or a linear combination of both.

Hence, options (a), (b) and (c) represent simple harmonic motion while option (d) is a product of the two functions (sine and cosine) and does not represent a simple harmonic motion.

4. (d) : The time period of simple harmonic motion does not depend on amplitude, energy or the phase constant.

5. (c) : The motion of a planet around the Sun is a periodic motion but not a simple harmonic motion. All other given motions are the examples of simple harmonic motion.