One end of a spring of force constant k is fixed to a vertical wall and the other to a blcok of mass m resting on a smooth horizontal surface. There is another wall at 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))`