1 kg weight is suspended to a weightless spring and it has time period T. If now 4 kg weight is suspended from the same spring the time period will be

Options

A. T
B. `T//2`
C. `2T`
D. `4T`

Answer

C

Explanation

`T_(1)=2pisqrt((m_(1))/(k))andT_(2)=2pisqrt((m_(2))/(k))`
`(T_(2))/(T_(1))=sqrt((m_(2))/(m_(1)))=sqrt((4)/(1))`
`T_(2)=2T_(1)`