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A solid spherical ball rolls without slipping on a horizontal plane about its axis of symmetry. The ratio of the rotational kinetic energy of the ball to its total kinetic energy is

Asked in JEE Main 26th June 2nd Shift 2022 · Rolling kinematics and energy

Answer: (2) 2/7

Step-by-step solution

Rolling KE =1/2 Mv²(1+I/(MR²))=1/2 Mv²(1+2/5)=7/(10)Mv².

Rotational part =1/2 Iω²=1/5 Mv².

Ratio =(1/5)/(7/10)=2/7.

Why the other options are wrong

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