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Q.

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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a

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

b

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

c

If the assertion is true but reason is false.

d

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 isT  = 2πlg⇒T ∝ l∴ ∆TT = 12∆ll∆TT= 12×3 = 1.5%
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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.