When a mass M is suspended from a spring, its period of oscillation is 2 second. If a mass 4 M is suspended from the same spring, then its period of oscillation will be

Options

A. 2 sec
B. 1 sec
C. 4 sec
D. 8 sec

Answer

C

Explanation

`T_(1)=2pi sqrt((m)/(k)) T_(2)=2pi sqrt((4m)/(k))`
`therefore T_(2)=2 [2pi sqrt((m)/(k))]=2T_(1)=4s`