A body of mass M moving at speed V_0 collides elastically with a mass ' m ' at rest. After the collision, the two masses move at angles θ_1 and θ_2…

A body of mass M moving at speed $\displaystyle \mathrm{V}_0$ collides elastically with a mass ' m ' at rest. After the collision, the two masses move at angles $\displaystyle \theta_1$ and $\displaystyle \theta_2$ with respect to the initial direction of motion of the body of mass M. The largest possible value of the ratio M/m, for which the angles $\displaystyle \theta_1$ and $\displaystyle \theta_2$ will be equal, is :