Block C of mass M is moving with velocity `V_(0)` and collides elastically with block A of mass M and connected to another block B of mass 2M through a spring of spring constant K. What is K if `X_(0)` is the compression of spring when velocity of A and B is same

Options

A. `(mv_(0)^(2))/(x_(0)^(2))`
B. `(mv_(0)^(2))/(2x_(0)^(2))`
C. `(3)/(2)(mv_(0)^(2))/(x_(0)^(2))`
D. `(2)/(3)(mv_(0)^(2))/(x_(0)^(2))`