Question

If a pendulum clock is taken from the equator to the poles, time period increases.

• A. True
• B. False

Answer 1

The correct option is B False

Explanation:

1. The time taken by a pendulum to complete one oscillation is called the time period.
2. The time period of a simple pendulum is given as, $T=2\mathrm{\pi }\sqrt{\frac{\mathit{l}}{\mathit{g}}}$, where $l$ is the length of the pendulum and $g$ is the acceleration due to gravity.
3. If length is constant, it can be said that, $T\propto \sqrt{\frac{1}{g}}$
4. Hence, the time period of a pendulum is inversely proportional to the square root of acceleration due to gravity.
5. The acceleration due to gravity increases at the poles.
6. As acceleration due to gravity increases, the time period decreases.

Hence, the given statement is false.