The moment of inertia of a solid sphere about an axis passing through the centre of gravity is 25MR2; then its radius of gyration about a parallel axis at a distance 2R from first axis is
A
5R
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B
√225R
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C
52R
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D
√125R
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Solution
The correct option is A5R Moment of inertia of sphere= 25MR2
Moment of inertia w.r.t. yy′ aixs: Iyy′=Icm+M(2R)2 Iyy′=25MR2+M(2R)2Iyy′=225MR2
On considering the point mass, having radius of gyratio = k Mk2=225MR2k=√225R Hence, option A is correct.