A uniform solid cylinder with radius R and length L has moment of inertia I ₁, about the axis of the cylinder. A concentric solid cylinder of radius R'=R/2 and length L'=L/2 is carved out of the original cylinder. If I ₂ is the moment of inertia of the carved out portion of the cylinder then I₁/I₂= _ _ _ _ _. (Both I ₁ and I ₂ are about the axis of the cylinder)

Rotational Motion: JEE Main 2023 Physics question

JEE Main 2023 · 24 Jan, Evening shift · Q69

JEE Main 202324 Jan, Evening shiftPhysicsHardRotational Motion140× since 2002

A uniform solid cylinder with radius R and length L has moment of inertia I

_1

, about the axis of the cylinder. A concentric solid cylinder of radius

R'=\frac{R}{2}

and length

L'=\frac{L}{2}

is carved out of the original cylinder. If I

_2

is the moment of inertia of the carved out portion of the cylinder then

\frac{I_1}{I_2}=

__________. (Both I

_1

and I

_2

are about the axis of the cylinder)

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JEE Main 2023 Rotational Motion Question with Answer (24 Jan Evening shift, Q69) | JEE Arc