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Assertion : The percentage change in time period is 1.5% if the length of simple pendulum increases by 3%.
Reason: Time period is directly proportional to length of pendulum.

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If both the assertion and reason are true and reason is a true explanation of the assertion.

If both the assertion and reason are true but the reason is not the correct explanation of assertion.

If the assertion is true but reason is false.

If both the assertion and reason are false.

answer is C.

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Detailed Solution

Time period of simple pendulum of length l is

$T = 2 π \sqrt{\frac{l}{g}}$

$\Rightarrow T \propto \sqrt{l}$

$∴ \frac{∆ T}{T} = \frac{1}{2} \frac{∆ l}{l}$

$\frac{∆ T}{T} = \frac{1}{2} \times 3 = 1.5 %$

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