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A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a mnctionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equlibrium position at timet=0 with an initial velocity u. When the speed of the particle is 0.5 up, it collides elastically with a rigid wall. After this collision :- [IIT-JEE 2013] (A) the speed of the particle when it returns to its equilibrium position is uo (B) the time at which the particle passes through the equilibrium position for the first time is t= Tta 41 m 3 Vk (C) the time at which the maximum compression of the spring occurs is t=- 52 m (D) the time at which the particle passes through the equilibrium position for the second time is t= inacted by a massless spring with stiffness constant k to a rigid wall and moves with small amplitude A about an equilibrium both the

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