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Question

Physics Question on Oscillations

Two pendulum have time period T and 5T4\frac{5T}{4} they start SHM at the same time form the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation

A

45o{{45}^{o}}

B

90o{{90}^{o}}

C

60?

D

 30o~{{30}^{o}}

Answer

90o{{90}^{o}}

Explanation

Solution

When bigger pendulum of time period (5T/4)(5T/4) completes one vibration, the smaller pendulum will complete (5T/4)(5T/4) vibration. It means the smaller pendulum will be leading the bigger pendulum by phase T4s=π2rad=90o.\frac{T}{4}s=\frac{\pi }{2}rad={{90}^{o}}.