The period of oscillation of a mass M suspended from a spring of spring constant K is T. the time period of oscillation of combined blocks is

Options

A. `(T)/(sqrt(2))`
B. `sqrt(2)T`
C. `2T`
D. T/2

Answer

B

Explanation

Time period of oscillation is as shown in figure (i)
`T=2pisqrt((M)/(k)`
When a another mass M is also suspended with it as shown in figure (ii). Then time period of oscillation is given by,

`T'=2pisqrt((M+M)/(k))=2pisqrt((2M)/(k))`
`=sqrt(2)(2pisqrt((2M)/(k)))=sqrt(2)T`