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As the temperature is increased, the period of a pendulum [NCERT Exemplar]

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increases as its effective length increases even though its centre of mass still remains at the centre of the bob

decreases as its effective length increases even though its centre of mass still remains at the centre of the bob

increases as its effective length increases due to shifting to centre of mass below the centre of the bob

decreases as its effective length remains same but the centre of mass shifts above the centre of the bob

answer is A.

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Detailed Solution

As the temperature is increased, length of the pendulum increases but its centre of mass remains at the centre of bob. The time period of pendulum,

$T = 2 π \sqrt{\frac{L}{g}} \Rightarrow T \propto \sqrt{L}$

So, due to thermal expansion as L increases, time period (T) will also increases.

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