A particle is executing SHM along a straight line. Its velocities at distances `x_(1)` and `x_(2)` from the mean position are `v_(1)` and `v_(2)`, respectively. Its time period is

Options

A. `2 pi sqrt((V_^2 + V_2^2)/(X_1^2 + X_2^2))`
B. `2 pi sqrt((V_1^2 - V_2^2)/(X_1^2 - X_2^2))`
C. `2 pi sqrt ((X_1^2 + X_2^2)/(V_1^2 - V_2^2))`
D. `2 pi sqrt((X_2^2 - X_1^2)/(V_1^2- V_2^2))`

Answer

D