JEE Advanced | 2013SHMHard
Question
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 u0. When the speed of the particle is 0.5 u0, it collides elastically with a rigid wall. After this collision :-
Options
A.the speed of the particle when it returns to its equilibrium position is u0
B.the time at which the particle passes through the equilibrium position for the first time is 
C.the time at which the maximum compression of the spring occurs is 
D.the time at which the particle passes through the equilibrium position for the second time is 
Solution
Collision is elastic so energy is conserve in given question so when it return to equilibrium, its speed is u0
by
Time period if collision not occurs
Now time to return for the first time at equilibrium
time for option (C)
time for option (D)
by
Time period if collision not occurs
Now time to return for the first time at equilibrium
time for option (C)
time for option (D)
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