Question

A simple pendulum, consists of a bob of radius r & mass M & its period is 2 sec. When its bob is replaced by a bob of mass 2 gm. But same radius r, the time period of motion is

• A. 4 sec.
• B. 2 sec.
• C. 1 sec.
• D. 8 sec.

Answer 1

Answer: (B)

2 sec.

Answer 2

The period of a simple pendulum is given by:

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

This formula shows that the period $T$ depends only on the length $L$ of the pendulum and the acceleration due to gravity $g$, and is independent of the mass of the bob. Therefore, changing the mass of the bob does not affect the period.