One end of a spring of force constant `k` is fixed to a vertical wall and the other to a block of mass `m` resting on a smooth horizontal surface There is another and wall at a distance `x_(0)` from the block The spring is then compressed by `2x_(0)` and released The time taken to strike the wall is

Options

A. `(pi)/(6)sqrt((m)/(K))`
B. `sqrt((m)/(K))`
C. `(2pi)/(3)sqrt((m)/(K))`
D. `(pi)/(4)sqrt((m)/(K))`

Answer

C

Explanation

`t_(AC) = t_(AB) +t_(BC) = (T)/(4) +(T)/(12) = (T)/(3) = (2pi)/(3) sqrt((m)/(k))`