#### A thin hollow sphere of mass m is completely filled with an ideal liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is equal to Option 1) (1/2)  Option 2) Option 3) (4/3)  Option 4) (4/5)

As we discussed in concept

Kinetic energy of rotation -

- wherein

= moment of inertia about axis of rotation

= angular velocity

K.E of the system

Option 1)

(1/2)

This is incorrect option

Option 2)

This is incorrect option

Option 3)

(4/3)

This is correct option

Option 4)

(4/5)

This is incorrect option