Two blocks `A` and `H`. each of mass `m`, are connected by a massless spring of natural length `I`. and spring constant `K`. The blocks are initially resting in a smooth horizontal floor with the spring at its natural length, as shown in Fig. A third identical block `C`, also of mass `m`, moves on the floor with a speed `v` along the line joining `A` and `B`. and collides elastically with `A`. Then
A. The kinetic energy of the A - B system at maximum compression of the spring is zero
B. The kinetic energy of the A - B system at maximum compression of the spring is `mv^(2)//4`
C. the maximum compression of the spring is `csqrt(m//K)`
D. the maxium compression of the spring ia `vsqrt(m//2K)`