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Question

The time taken by a particle performing S.H.M. to pass from point A to B where its velocities are same is 2 seconds. After another 2 seconds it returns to B . The time period of oscillation is (in seconds):

A
2
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B
4
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C
6
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D
8
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Solution

The correct option is D 8
According to the question, a and b points are such that they are
located at same distances from the equilibrium position.
Here also it is said that velocity is same
,i.e; not only the magnitude but also the directions are same.
So, total time period of oscillation =2×( time taken to go from a to b
+ the next time taken to return at b) =2×(2+2)=8 sec.

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