A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces each of mass (m) move perpendiculr to each other with equal speeds $(v)$. The total kinetic energy generated due to explosion is :

Question

( A ) $mv^2$
( B ) $\frac{3}{2} mv^2$
( C ) $4mv^2$
( D ) $2mv^2$