Potential energy of a particle along x-axis varies as shown in the figure. If the particle is released from rest at a point on x-axis.
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a
It will move in negative x-direction
b
It will move with constant acceleration
c
(v - x) graph for a particle is parabolic
d
All of these
answer is D.
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Detailed Solution
F=-dUdx if slope is +Ve body will move in the negative X direction. Also, since the slope is constant acceleration is constant. Thus dvdt= constant and as a result dvdxdxdt = constant.dvdxV = constant. On integrating, V22= X + C. Thus V2 is ∝X.