Name two factors on which the time period of a simple pendulum depends. Write the relation for the time period in terms of the above named factors.

Factors affecting the time period of a simple pendulum are —

1. Effective length of the pendulum — the time period of oscillation is directly proportional to the square root of its effective length.
   i.e., $T \propto \sqrt{l}$

2. Acceleration due to gravity — the time period of oscillations is inversely proportional to the square root of acceleration due to gravity
   i.e., $T \propto \dfrac{1}{\sqrt {g}}$

Relation between time period, effective length and acceleration due to gravity is as follows —

$T = 2\pi \sqrt{\dfrac{l}{g}}$

where,

T = Time period

l = effective length of the pendulum

g = acceleration due to gravity.