A) \[\frac{3}{2}m{{R}^{2}}\]
B) \[\frac{2}{3}m{{R}^{2}}\]
C) \[\frac{5}{4}m{{R}^{2}}\]
D) \[\frac{4}{5}m{{R}^{2}}\]
Correct Answer: C
Solution :
Use parallel axis theorem, from the theorem of parallel axis, the moment of inertia \[(I)\] of a body about given axis is equal to its moment of inertia \[I\] about its diameter, plus the product of the mass \[M\] of the body and square of perpendicular distance between the two axes. That is \[I={{I}_{d}}+M{{R}^{2}}=\frac{1}{4}M{{R}^{2}}+M{{R}^{2}}=\frac{5}{4}M{{R}^{2}}\]
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