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Conduction

If is the co...

Question

If is the coefficient of linear expansion, the change in the period t of a physical pendulum with temperature change of T is

A

(1/2) tT

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B

(1/4) tT

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C

(3/4) tT

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D

(1/3) tT

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Solution

The correct option is A (1/2) tT
$t = 2 π \sqrt{\frac{l}{g}} \frac{△ t}{t} = \frac{1}{2} \frac{△ l}{l} \frac{△ t}{t} = \frac{1}{2} \frac{l α △ T}{l} \Rightarrow △ t = \frac{1}{2} α △ T t \Rightarrow △ t \propto \frac{1}{2} t △ T$

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