Question

The time period of oscillation of a simple pendulum is given by the relation.

• A. $T^2$=4$\pi \frac{L}{g}$
• B. $T^{}$=4$\pi \frac{L}{g}$
• C. $T^2$=4${\pi }^2\frac{L}{g}$

Answer 1

The correct option is C $T^2$=4${\pi }^2\frac{L}{g}$

The time period T of oscillation of a simple pendulum is given by the relation:
$T^2$=4${\pi }^2\frac{L}{g}$

where g is the acceleration due to gravity and L is the length of the pendulum.

At a given place, since g is constant, the time period of a pendulum of given length is constant. This is why a pendulum can be used to measure the time.