Initially spring is compressed by `x_(0)` and blocks are in contact when system is released, then block starts moving and after some time contact between blocks, then

Options

A. Blocks will separated at natural length of spring.
B. After seperation block A perform SHM of amplitude `x_(0)sqrt(m_(1)/(m_(1)+m_(2))`
C. After seperation maximum velocity of block A is `x_(0)sqrt(k/(m_(1)+m_(2))`
D. After seperation block A will perform SHM of amplitude `x_(0)`

Answer

A, B, C

Explanation

`omega'=sqrt(k/m_(1)),v_(1)sqrt(k/(m_(1)+m_(2))) x_(0)`
`omega'A' = sqrt(k/(m_(1)+m_(2))) x_(0)`
`A'=sqrt(m_(1)/(m_(1)+m_(2))) x_(0)`