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For a particle executing (SHM) the displ...

For a particle executing (SHM) the displacement (x) is given by `(x = A) cos (omega) t`. Identify the graph which represents the variation of potential energy (PE) as a function of time (t) and displacement (x).
(##JMA_CHMO_C10_006_Q01##), (##JMA_CHMO_C10_006_Q02##).

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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