question_answer

A body executes simple harmonic motion under the action of a force \[{{F}_{1}}\] with a time period \[\frac{4}{5}\]s. If the force is changed to\[{{F}_{2}}\], it executes S.H.M. with time period - s. If both the forces \[{{F}_{1}}\] and \[{{F}_{2}}\] act simultaneously in the same direction on the body, its time period in second is

A) \[\frac{12}{25}\]

B) \[\frac{7}{5}\]

C) \[\frac{24}{25}\]

D) \[\frac{5}{7}\]