A body executes S.H.M. under the influence of one force and has a period `T_(1)` second and the same body executes S.H.M. with period `T_(2)` second when under the influence of another force. When both forces act simultaneously and in the same direction, then the time period of the same body is :

Options

A. `(T_(1)+T_(2))s`
B. `sqrt(T_(1)^(2)+T_(2)^(2))s`
C. `sqrt((T_(1)^(2)+T_(2)^(2))/(T_(1)T_(2)))s`
D. `sqrt((T_(1)^(2)T_(2)^(2))/((T_(1)^(2)+T_(2)^(2)))s`.

Answer

D