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The time taken by a particle performing ...

The time taken by a particle performing SHM on a straight line to pass from point A to B where its velocities are same is 2 seconds . After another 2 second it returns to B .The time peroid of oscillation is (in seconds):

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Assertion : A particle performing SHM at certain instant is having velocity v. It again acquire a velocity v for the first time after a time interval of T second. Then the time period of oscillation is T second. Reason : A particle performing SHM can have same velocity at two instants in one cycle.