A block of mass 'm' collides perfectly inelastically with another identical block connected to a spring of of force constant 'K'. The amplitude of resulting `SHM` will be

Options

A. `sqrt((m)/(K))`
B. `V sqrt((m)/(2K))`
C. `V sqrt((K)/(m))`
D. `V sqrt((2K)/(m))`

Answer

B

Explanation

`mv = (m + m) v_(c), (1)/(2) (2m) v_(c)^(2) = (1)/(2) kA^(2)`