A rod AB of mass M, length L is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity `v_0` in a direction perpendicular to AB. The collision is completely elastic. After the collision, the particle comes to rest. The ratio `m/M` is :

Options

A. `(w^2L^2)/(9v_0^2)`
B. `(9v_0^2)/(w^2L^2)`
C. `(9v_0)/(wL)`
D. `(wL)/(9v_0)`

Answer

A