Physics - Gravitation Question with Solution | TestHub

A thin spherical shell of mass $m$ and radius $R$ is fixed. Two particles of same mass $m$ are fixed at points $A$ and B on the shell such that AB subtends an angle of $120^{\circ }$ at the centre. A particle of mass m is held at point C inside the shell which is on perpendicular bisector of line AB . If the velocity of mass at C when it reaches the opposite end of the point C on the shell under the influence of gravitational field is ${\left[\frac{\mathrm{xGm}}{\mathrm{R}}\left(1-\frac{1}{\sqrt{\mathrm{y}}}\right)\right]}^{1/2}$, then find $\frac{\mathrm{y}}{\mathrm{x}}$.