A body executes SHM under the influence to one force and has time period `.T_(1).` seconds and the same body executes SHM with period `.T_(2).` seconds 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)` sec
B. `sqrt(T_1^2 + T_2^2)` sec
C. `sqrt((T_1 + T_2)/(T_1T_2))` sec
D. `sqrt((T_1^2 + T_2^2)/((T_1^2 + T_2^2))) ` sec

Answer

D