The collision between both blocks shown in figure is completely inelastic. The total energy of oscillation after collision is

Options

A. `(1)/(2)mv^(2)`
B. `(mv^(2))/(8)`
C. `(mv^(2))/(4)`
D. `(mv^(2))/(32)`

Answer

C

Explanation

At the time of maximum compression, all bodies move with the velocity of centre of mass. The maximum transfter of kinetic energy between `C` and A takes place, when collision between `A` and `C` is perfectly elastic.