Five identical springs are used in the three configurations a shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c ) are in the ratio :

Options

A. `1:sqrt(2):(1)/(sqrt(2))`
B. `2:sqrt(2):(1)/(sqrt(2))`
C. `(1)/(sqrt(2)):2:1`
D. `2:(1)/(sqrt(2)):1`

Answer

A

Explanation

`Tprop(1)/(sqrt(K)),K_(1)=K,K_(2)=(K)/(2)`
`&K_(3)=2K`