A particle free to move along the x-axis has potential energy given b – McqOptions

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1.	A particle free to move along the x-axis has potential energy given by U(x) = k [1-exp -x2] for -∞≤x≤+∞, where k is a positive constant of appropriate dimensions. Then?
A.	The particle is in unstable equilibrium at points away from the origin
B.	There is a force directed away from the origin for any finite nonzero value of x
C.	It has its minimum kinetic energy at the origin if its total mechanical energy is k/2
D.	The motion is simple harmonic for small displacement from x=0
Answer» E.

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