As the temperature is increased, the time period of a pendulum: - Vidyadip

MCQ

As the temperature is increased, the time period of a pendulum:

✓
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 centre of mass below the centre of the bob.
D
Decreases as its effective length remains same but the centre of mass shifts above the centre of the bob.

✓

Answer

Correct option: A.

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

As the temperature increased the length L increase due to expansion (Linear) and,
$\text{T}=\sqrt{\frac{\text{L}}{\text{g}}}\text{ or }\text{T }\alpha\ \sqrt{\text{L}}$
So on increasing temperature, its effective length increases hence T also increases.

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