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Q.

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

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a

I and III

b

II and IV

c

II and III

d

I and IV

answer is A.

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Detailed Solution

PE=12mω2A2cos2ωt  at t=0 ,PE is maximum and at t=T4,ωt=π2. Hence graph Irepresents PE.   PE=12mω2x2  at  x=0,PE=0  at x=±A,PE=max. Graph III.
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For a particle executing SHM the displacement x is given by x = Acosωt. Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x -