A) A ring about any of its diameter
B) A disc about any of its diameter
C) A hollow sphere about any of its diameter
D) A solid sphere about any of its diameter
Correct Answer: C
Solution :
[c] Let M and R be the mass and radius respectively. Moment of inertia of a ring about any of its diameter is \[{{I}_{ring}}=\frac{1}{2}M{{R}^{2}}\] Moment of inertia of a disc about any of its diameter is \[{{I}_{disc}}=\frac{1}{4}M{{R}^{2}}\] Moment of inertia of a hollow sphere about any of its diameter is \[{{I}_{hellow\,sphere}}=\frac{2}{3}M{{R}^{2}}\] Moment of inertia of a solid sphere about any of its diameter is \[{{I}_{solid\,sphere}}=\frac{2}{5}M{{R}^{2}}\] Thus. \[{{I}_{hollow\,sphere}}\]is largest.
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