If the temperature of the room in which a simple pendulum is placed increases by 30 deg C what will ...........

General Science (NDA) Physics

If the temperature of the room in which a 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:

Time period of the simple pendulum is
T=2\pi\sqrt{\dfrac{L}{g}}T=2πgL??..........(i)
where LL is the effective length of the pendulum. with increase in temperature, the effective length (L)(L) of simple pendulum increases even through its centre of mass still remains at the centre of the bob.
From(i),T\infty \sqrt{L}T∞L?
So the T increases as temperature increases.