What will be the period of the displacement body of mass `m`?

Options

A. `2pi sqrt((3k)/(m))`
B. `2pisqrt((m)/(3k))`
C. `2pi sqrt((3m)/(2k))`
D. `2 pisqrt((2m)/(3k))`

Answer

C

Explanation

`k_(eq)=((2K)K)/(2k+K)=(2K)/(3)`
`T=2pi sqrt((m)/(K_(eq)))=2pi sqrt((3m)/(2K))`