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A simple pendulum has a time period T = ...

A simple pendulum has a time period T = 2 sec when it swings freely. The pendulum is hung as shown in figure. So that only one-fourth of its total length is free to swing to the left of obstacle. It is displaced to position A and released. How long does it take to swing to extreme displacement B and return to A? Assume that displacement angle is always small.

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The correct Answer is:
`(3)/(2) `sec
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