Oscillations Ques 50
50. 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
[2002]
(a) $1 / 9$
(b) $1 / 2$
(c) $2 / 3$
(d) $1 / 6$
Show Answer
Answer:
Correct Answer: 50.(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.
BETA
