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Two pendulums have time period T and 5T/...

Two pendulums have time period T and 5T/4. They starts SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation ?

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(3pi)/(3)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B

A bigger pendulum of time period `(5T//4)`. A smaller pendulum will complete `(5//4)` vibration. It means the smaller pendulum will be leading the bigger pendulum by a time of `(T//4)` s. The phase for `(T//4)` s is `(pi//2)`
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