Question

9. A pendulum bob is made with a ball filled with water. What would happen to the frequency of vibration of this pendulum if a hole in the ball allowed water to slowly leak out? (Treat the pendulum as a simple pendulum.)

Answer 1

Answer:

The frequency of vibration will be unchanged.

Explanation:

The frequency of oscillation of a simple pendulum is given by

$f = \dfrac{1}{2 \pi}\sqrt{\dfrac{g}{L}}$

where, $g$ is the acceleration due to gravity and $L$ is the length of the pendulum.

It can be seen from the formula that the frequency of the pendulum is independent of the mass.

Thus, the frequency of vibration will be same.