A mass `M` is suspended from a massless spring. An additional mass `m` stretches the spring further by a distance `x`. The combined mass will oscillate with a period

Options

A. `T=2pisqrt((mg//x(M+m)))`
B. `T=2pisqrt(((M+m)x//mg))`
C. `T=(pi//2)sqrt((mg//x(M+m)))`
D. `T=2pisqrt(((M+m)//mgx))`

Answer

B

Explanation

Since, `kx=mg or k=mg//x`
`therefore T=2pisqrt(((M+m))/(k))=2pisqrt(((M+m)x)/(mg))`.