A solid sphere of mass 500 ~g and radius 5 ~cm is rotated about one of its diameter with angular speed of 10 ~rad ~s⁻¹. If the moment of inertia of the sphere about its tangent is x × 10⁻² times its angular momentum about the diameter. Then the value of x will be _ _ _ _ _ _.

Rotational Motion: JEE Main 2023 Physics question

JEE Main 2023 · 11 Apr, Morning shift · Q70

JEE Main 202311 Apr, Morning shiftPhysicsMediumRotational Motion140× since 2002

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 ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Rotational Motion Question with Answer (11 Apr Morning shift, Q70) | JEE Arc