Match List-I with List-II List-I List-II (A) Moment of inertia of...

For solid sphere

${I}_{0} = {I}_{com} + M{R}^{2}$ (Using parallel axis theorem)

${I}_{0} = \dfrac{2}{5}M{R}^{2} + M{R}^{2}$

${I}_{0} = \dfrac{7}{5}M{R}^{2}$$⇒ A \to II$

For hollow sphere

$I = {I}_{com} + M{R}^{2} ⇒ I = \dfrac{5}{3}M{R}^{2} ⇒ B \to I$

For Circular ring

${I}_{1} + {I}_{2} = {I}_{3}$ ( Using perpendicular axis theorem)

By symmetry MOI

About $1$ and $2$ Axis are same i.e.

${I}_{1} = {I}_{2}$

$∴ 2{I}_{1} = {I}_{3} = M{R}^{2}\left(∵ {I}_{com} = M{R}^{2}\right)$

${I}_{1} = \dfrac{M{R}^{2}}{2} ⇒ C \to IV$

Similarly in disc

$2{I}_{1} = \dfrac{M{R}^{2}}{2}\left\{∵ {I}_{com} = \dfrac{M{R}^{2}}{2}\right\}$

${I}_{1} = \dfrac{M{R}^{2}}{4} ⇒ D \to III$