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Q.

A lift is ascending with acceleration g3. Find out the time period of a simple pendulum suspended from its ceiling if its time period in the stationary lift is T.

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a

T2

b

3T2

c

3T4

d

T4

answer is B.

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Detailed Solution

Time period of a simple pendulum can be given in a modified form as T=2πlgcft, where geff is the effective value of restoring acceleration.When lift is ascending with g3, then geff=g+g3=4g3. Hence, time period in this case will beT′=2πlgeff=2π3l4g=32T Here ,T=2πlg
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A lift is ascending with acceleration g3. Find out the time period of a simple pendulum suspended from its ceiling if its time period in the stationary lift is T.