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For a particle executing simple harmonic...

For a particle executing simple harmonic motion, the displacement x is given by x=`Acosomegat`. Identify the graph, which represents the variation of potential energy (U) as a function of time t and displacement x.

A

I,III

B

II,III

C

I,IV

D

II,IV

Text Solution

Verified by Experts

The correct Answer is:
D
Given: `x=Acosomegat`
Potential energy, `U=(1)/(2)momega^(2)x^(2)=(1)/(2)momega^(2)A^(2)cos^(2)omegat`
On plotting a graph between potential energy U time t, we shall get a curve II and graph between U and x we shall get curve IV.
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