A thin hollow sphere of mass `m` is completely filled with non viscous liquid of mass `m`. When the sphere roll-on horizontal ground such that centre moves with velocity `v`, kinetic energy of the system is equal to

Options

A. `mv^(2)`
B. `(4)/(3)mv^(2)`
C. `(4)/(5)mv^(2)`
D. none of these

Answer

B

Explanation

Viscous liquid has only translational kinetic energy
`thereforeKE=` translational `+` rotaional kinetic energy
of hollow sphere `+` translational kinetic energy of liquid
`=(1)/(2)mv^(2)+(1)/(2)xx(2)/(3)mR^(2)((v)/(R))^(2)+(1)/(2)mv^(2)`
`=(4)/(3)mv^(2)`