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Question: Answered & Verified by Expert
A solid sphere of radius ' $R$ ' has mass ' $M$ ' the moment of inertia of a solid sphere about an axis at a distance $\left(\frac{\mathrm{R}}{2}\right)$ from the centre is
PhysicsRotational MotionMHT CETMHT CET 2022 (07 Aug Shift 1)
Options:
  • A $\frac{9}{20} \mathrm{MR}^2$
  • B $\frac{7}{5} \mathrm{MR}^2$
  • C $\frac{9}{5} \mathrm{MR}^2$
  • D $\frac{13}{20} \mathrm{MR}^2$
Solution:
1484 Upvotes Verified Answer
The correct answer is: $\frac{13}{20} \mathrm{MR}^2$
Using parallel axis theorem:
$I=\frac{2}{5} M R^2+M\left(\frac{R}{2}\right)^2=\frac{13}{20} M R^2$

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