QJEEM23Ph700d: JEE Main 2023 Physics - Class 11 JEEM23Ph700d Solution: A solid sphere of mass 500   g and radius 5   cm is…

A solid sphere of mass $$500\mathrm{g}$$ and radius $$5\mathrm{cm}$$ is rotated about one of its diameter with angular speed of $$10\mathrm{rad}{\mathrm{s}}^{-1}$$. If the moment of inertia of the sphere about its tangent is $$x\times {10}^{-2}$$ times its angular momentum about the diameter. Then the value of $$x$$ will be ___________.