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Q.

The displacement time graph of aprticle executive SHM is shown in figure. Which of the following statements is/are true?

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a

The velocity is maximum at t=T2

b

The accelertion is maximum at t=T

c

The force is zero at t=3T4

d

The potential energy equals the total oscillation energy at t=T2

answer is B, C, D.

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Detailed Solution

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Att=T4,3T4,.
Velocity is maximum, Hence (a) is wrong.
Hence, acceleration will be maximum at t=0, T/2... Hence (b) is correct.
Since at mean position, force is also equal to zero at that position. Hence force is zero at t=T/4, 3T/4.....  Hence (c) is correct.
At t=T/2, KE at this instant is equal to zero. Therefore, whole of the oscillation energy, at this instant, is in the form of potential energy. Hence (d) is also correct.
 

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