Case Study Questions for Class 11 Physics Chapter 14 Oscillations
Case Study Questions:
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 = Acoswt + Bsinwt
(b) x = Acos(wt + a)
(c) x = Bsin(wt + b)
(d) x = Asinwt cos2wt
4. The time period of simple harmonic motion depends upon
(c) phase constant
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
➤ Show AnswerAnswer:
1. (d) : In SHM, the acceleration of the particle is directed towards the mean position.
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.