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JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion

Match List\(-I\) with List\(-II\)
      List \(-I\)       List \(-II\)
\((A)\) Moment of inertia of solid sphere of radius \((R)\) about any tangent  \((I)\)  \(\frac{5}{3} MR ^{2}\)
\((B)\) Moment of inertia of hollow sphere of radius \((R)\) about any tangent \((II)\) \(\frac{7}{5} MR ^{2}\)
\((C)\) Moment of inertia of circular ring of radius \((R)\) about its diameter. \((III)\) \(\frac{1}{4} MR ^{2}\)
\((D)\) Moment of inertia of circular disc of radius \((R)\) about any diameter. \((IV)\) \(\frac{1}{2} MR ^{2}\)
Question: Choose the correct answer from the options given below

  1. A \(A-II, B-II, C-IV, D-III\)
  2. B \(A-I, B-II, C-IV, D-III\)
  3. C \(A-II, B-I, C-III, D-IV\)
  4. D \(A-I, B-II, C-III, D-IV\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(A-II, B-II, C-IV, D-III\)

Step-by-step Solution

Detailed explanation

\(I _{0}= I _{ com }+ MR ^{2}\) (Parallel Axis theorem) \(I_{0}=\frac{2}{5} M^{2}+M^{2}\) \(I_{0}=\frac{7}{5} M R^{2}\) Hollow sphere \(I_{0}=I_{\text {com }}+M^{2}\) \(=\frac{2}{3} M^{2}+M^{2}=\frac{5}{3} M^{2}\) \(I _{1}+ I _{2}+ I _{3}\) (Perpendicular axis theorem) By…
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