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JEE Mains · Physics · STD 11 - System of particles and rotational motion
  • JEE Mains 2021
  • Medium
  • MCQ

Moment of inertia \((M.I.)\) of four bodies, having same mass and radius, are reported as; \(I _{1}= M\). of thin circular ring about its diameter. \(I _{2}=\) \(M.I.\) of circular disc about an axis perpendicular to the disc and going through the centre, \(I _{3}=\) \(M.I.\) of solid cylinder about its axis and \(I _{4}= M . I.\) of solid sphere about its diameter. Then

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Answer & Solution

Correct Answer

(C) \(I _{1}= I _{2}= I _{3}> I _{4}\)

Step-by-step Solution

Detailed explanation

Ring \(I _{1}=\frac{ MR ^{2}}{2}\) about diameter

Disc \(I_{2}=\frac{M R^{2}}{2}\)

Solid cylinder \(I _{3}=\frac{ MR ^{2}}{2}\)

Solid sphere \(I _{4}=\frac{2}{5} MR ^{2}\)

\(I _{1}= I _{2}= I _{3}> I _{4}\)

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