Q.

The potential energy of a particle Ux executing SHM is given by

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a

Ux=K2ax2

b

Ux=a  constant

c

Ux=K1x+K2x2+K3x3

d

Ux=Aebx

answer is A.

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Detailed Solution

PE of body in SHM at an instant
 PE=U=12mω2y2=12Ky2

m is mass of oscillator, ω is angular velocity, y is displacement of oscillator, k is force constant
If the displacement , y=ax then
 U=12Kax2=12Kxa2

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The potential energy of a particle Ux executing SHM is given by