Oscillations - Result Question 49
53. The amplitude of a pendulum executing simple harmonic motion falls to $1 / 3$ the original value after 100 oscillations. The amplitude falls to $S$ times the original value after 200 oscillations, where $S$ is
(a) $1 / 9$
(b) $1 / 2$
(c) $2 / 3$
(d) $1 / 6$
[2002]
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Answer:
Correct Answer: 53. (a)
Solution:
- (a) In harmonic oscillator, amplitude falls exponentially.
After 100 oscillations amplitude falls to $\frac{1}{3}$ times.
$\therefore$ After next 100 oscillations i.e., after 200 oscillations amplitude falls to $(\frac{1}{3})^{2}=\frac{1}{9}$ times.
