A particle, which is constrained to move along the 
-axis, is subjected to a force in the same direction which varies with the distance 
of the particle from the origin as 
. Here 
and 
are positive constants. For 
, the functional form of the potential energy 
of the particle is
Text Solution
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at 
and at 
we have potential energy zero twice (out of which one is at origin).
Also, when we put 
in the given function,
we get 
. But 
i.e. the slope of the graph should
be zero. These characteristics are represented by .
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