A) both A and R are true and R is the correct explanation of A
B) both A and R are true and R is not correct explanation of A
C) A is true but R is false
D) A is false but R is true
Correct Answer: A
Solution :
The moment of inertia of solid sphere about its diameter \[{{I}_{S}}=\frac{2}{5}M{{R}^{2}}\] The moment of inertra of a thin walled hollow sphere about its diameter is \[{{I}_{H}}=\frac{2}{5}M\frac{(R_{2}^{5}-R_{1}^{5})}{(R_{2}^{3}-R_{1}^{3})}\]where \[{{R}_{1}}\]and \[{{R}_{2}}\]are its internal and external radii \[{{I}_{S}}>{{I}_{H}}\] The reason is that in solid sphere the whole mass is uniformly and continuously distributed about its centre in the whole volume while in hollow sphere the mass is distributed on the surface of sphere.
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