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_(1)T_(2))sec`
D. `sqrt((T_(1)^(2)T_(2)^(2))/((T_(1)^(2) + T_(2)^(2)))`

Answer

D