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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
Potential energy is minimum (in this case zero) at mean position `(x = 0)` and maximum at extreme position `(x = +-A)`.
At time `t = 0, x= A` Hence, PE should be maximum. Therefore, graph is correct. Further is graph III. PE is minimum at ` x= 0`. Hence this is also correct.
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