State how does the time period of a simple pendulum depend on — (a) length of pendulum, (b) mass of bob, (c) amplitude of oscillation and (d) acceleration due to gravity.

The time period of a simple pendulum varies as follows —

1. Length of pendulum (l) — Time period of a simple pendulum is directly proportional to the square root of the length of the pendulum. T ∝ √l​
2. Mass of bob — Time period of a simple pendulum is independent of the mass of the bob.
3. Amplitude of oscillation — Time period of a simple pendulum is independent of the amplitude of oscillation
4. Acceleration due to gravity (g) — Time period of a simple pendulum is inversely proportional to the the square root of acceleration due to gravity. T ∝ √(1/g)