As the temperature is increased, the time period of a pendulum a) increases as its effective length increases even though its centre of mass still remains at the centre of the bob b) decreases as its effective length increases even though its centre of mass still remains at the centre of the bob c) increases as its effective length increases due to shifting of the centre of mass below the centre of the bob d) decreases as its effective length remains the same but the centre of mass shifts above the centre of the bob
Correct option is A) The time period of the simple pendulum is T=2πgL..........(i) where L is the effective length of the pendulum. with an increase in temperature, the effective length (L) of the simple pendulum increases even through its center of mass still remains at the center of the bob. From(i), T∝L So the T increases as temperature increases.
