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Question

A particle, which is constrained to move along the x - axis the x - axis, is subjected to a force in the same direction which varies  with the distance x of the particle from the origin as F(x)=kx+ax3. Here k and a are positive energy U(x) of the particle is


Your Answer
A
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B
Your Answer
C
Correct Answer
D

Solution

The correct option is C
dU(x)=FdxUx=x0Fdx=kx22ax44
U = 0 at x = 0 and at x=2ka
U(x) is negative for x>2ka
F = 0 at x = 0. It means Slope of U - x graph is zero at x = 0.

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