Q144 / 150 · MHT CET 2022 (07 Aug Shift 1) · Physics

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

  • A
    $\frac{9}{20} \mathrm{MR}^2$
  • B
    $\frac{7}{5} \mathrm{MR}^2$
  • C
    $\frac{9}{5} \mathrm{MR}^2$
  • Correct answer
    D
    $\frac{13}{20} \mathrm{MR}^2$

Solution

Using parallel axis theorem: $I=\frac{2}{5} M R^2+M\left(\frac{R}{2}\right)^2=\frac{13}{20} M R^2$

Hence, the correct answer is option: 'D'.

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