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A particle constrained to move along the X-axis in a potential V = kx2, is subjected to an external time dependent force $$\overrightarrow {\bf{F}} \left( t \right).$$  Here, k is a constant, x, the distance from the origin and t is the time. At some time T, when the particle has zero velocity at x = 0, the external force is removed. The particle will

A particle constrained to move along the X-axis in a potential V = kx2, is subjected to an external time dependent force $$\overrightarrow {\bf{F}} \left( t \right).$$  Here, k is a constant, x, the distance from the origin and t is the time. At some time T, when the particle has zero velocity at x = 0, the external force is removed. The particle will Correct Answer remain at rest

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