A particle is executing SHM along a straight line. Its velocities at distance `X_(1)` and `X_(2)` from mean position are `V_(1)` and `V_(2)`, respectively. Its time period is :

Options

A. `2pi sqrt((V_(1)^(2) + V_(2)^(2))/(X_(1)^(2) + X_(2)^(2)))`
B. `2pi sqrt((V_(1)^(2) - V_(2)^(2))/(X_(1)^(2) - X_(2)^(2)))`
C. `2pi sqrt((X_(1)^(2) + X_(2)^(2))/(V_(1)^(2) + V_(2)^(2)))`
D. `2pi sqrt((X_(2)^(2)-X_(1)^(2))/(V_(1)^(2)-V_(2)^(2)))`

Answer

D