Question

For a given length of a pendulum, the time period is maximum:

• A. on the surface of the earth
• B. on the surface of the moon
• C. at the centre of the earth
• D. none of these

Answer 1

The correct option is B on the surface of the moon

For the simple pendulum,

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

On the surface of moon, acceleration due to gravity is less than that on earth. So, time period will be maximum. Even if it is zero at the center of the earth but due to the lack of restoring force, it will not perform simple harmonic motion.