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A particle free to move along the (x - axis) hsd potential energy given by `U(x)= k[1 - exp(-x^2)] for -o o le x le + o o`, where (k) is a positive constant of appropriate dimensions. Then.A. At point away from the origin, the particle is in unstable equilibriumB. For any finite non-zero value of x , there is a force directed away from the originC. If its total mechanical energy is k /2, it has its minimum kinetic energy at the originD. For small displacements from x = 0, the motion is simple harmonic

Answer» Correct Answer - D


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