Question

A simple pendulum has some time period T. What will be the percentage change in its time period if its amplitude is decreased by 5 % ?

• A. 6 %
• B. 3 %
• C. 1.5 %
• D. 0 %

Answer 1

The correct option is D 0 %

Time period $T$ of a simple pendulum is

$T=2\pi \sqrt{\frac{L}{g}}$

Hence we can clearly see that $T$ is independent of the amplitude.

So changing the amplitude will have no effect on time period $T$

So change in $T$ is $0\%$.