A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time `t=0` with an initial velocity `u_0`. when the speed of the particle is `0.5u_0`, it collides elastically with a rigid wall. After this collisionA. the speed of the particle when it returns to its equilibrium position is `u_(0)`.B. the time at which the particle passes through the equilibrium position for the first time is `t=pisqrt((m)/(k))`.C. the time at which the maximum compression of the spring occurs is `t=(4pi)/(3)sqrt((m)/(k))`.D. the time at which the particle passes through the equilibrium position for the second time is `t=(5pi)/(3)sqrt((m)/(k))`

A particle of mass m is attached to one end of a mass-less spring of f

1.	A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time `t=0` with an initial velocity `u_0`. when the speed of the particle is `0.5u_0`, it collides elastically with a rigid wall. After this collisionA. the speed of the particle when it returns to its equilibrium position is `u_(0)`.B. the time at which the particle passes through the equilibrium position for the first time is `t=pisqrt((m)/(k))`.C. the time at which the maximum compression of the spring occurs is `t=(4pi)/(3)sqrt((m)/(k))`.D. the time at which the particle passes through the equilibrium position for the second time is `t=(5pi)/(3)sqrt((m)/(k))`
Answer» Correct Answer - A::D

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