In the previous problem , the maximum elongation of the spring is

Options

A. `2 cm`
B. `3 cm`
C. ` 2sqrt(3) cm`
D. `2 sqrt(5) cm`

Answer

C

Explanation

`1 xx 0.4 = ( 3 + 1) v rArr v = 0.1 m//s`
`(1)/(2) xx 1 xx (0.4)^(2) = (1)/(2) ( 3 + 1)v^(2) + (1)/(2) k x_(0)^(2)`
`x_(0) = 2 sqrt(3) cm`