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For a particle executing SHM, the displa...

For a particle executing SHM, the displacement `x` is given by `x = A cos omegat`. Identify the graph which represents the variation of potential energy `(PE)` as a function of time `t` and displacement `x`.

(a) `I, III`
(b) `II, IV` (c ) `II, III`
(d) `I, IV`

A

I, III

B

II, IV

C

II, III

D

I, IV

Text Solution

Verified by Experts

The correct Answer is:
A
We know that in SHM, at extreme position, PE is maximum when t=0, x=A, i.e., at time t=0, the oarticle executing SHM is at its extreme position. Therefore, PE is maximum. Graphs-I and III represent the above characteristics.
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