• # question_answer The potential energy of a body is given by,  U =$A-B{{x}^{2}}$(Where x is the displacement). The magnitude of force acting on the particle is                       [BHU 2002] A)             Constant B)               Proportional to x C)             Proportional to ${{x}^{2}}$ D)             Inversely proportional to x

Correct Answer: B

Solution :

$U=A-B{{x}^{2}}$Þ $F=-\frac{dU}{dx}=2Bx$ Þ $F\propto x$

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