A particle which is constrained to move along 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 
. Here k and a are positive constants. For 
, the functional from of the potential energy 
of the particle is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
We get U = 0 at x = 0 and x = 
and also U = negative for 
.
So F = 0 at x = 0
i.e. slope of U – x graph is zero at x = 0.
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