The time period of a simple pendulum made using a thin copper wire of length L is T Suppose the temp...........

General Science (NDA) Physics

The time period of a simple pendulum made using a thin copper wire of length L is T. Suppose the temperature of the room in which

this simple pendulum is placed increases by 30°C, What will be the effect on the time period of the pendulum?

T will increase slightly

T will remain the same

T will decrease slightly

T will become more than 2 times

Explanation:

The time period of sim ple pendulum is given by expression
$T=2\pi\sqrt{\frac{l}{g}}\Rightarrow L=l=Length\: of\: wire$
When temperature is increased by 30°, the length of the wire will increase
$L_{t}=L_{o}(1 + \times \alpha \Delta t )$
$So, T'=2\pi\sqrt{\frac{L_{t}}{g}}$
So, T will increase slightly.