Q.

The potential energy of a conservative system is given by  U=(10x2−4X)J.The equilibrium position is

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a

0.4m

b

0.2 m

c

0.1m

d

0.5m

answer is B.

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Detailed Solution

U=10x2−4xF=−dvdx=−ddx10x2−4xF=−[10×2x−4]=4−20xFor equilibrium position F=04−20x=0⇒20x=4x=0.2m
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