MHT CET · Physics · Rotational Motion
Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is
- A \(\frac{\mathrm{I}}{44}\)
- B \(\frac{\mathrm{I}}{188}\)
- C \(\frac{\mathrm{I}}{204}\)
- D \(\frac{\mathrm{I}}{243}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{I}}{243}\)
Step-by-step Solution
Detailed explanation
\(I = \frac{2}{5}MR^2\) \(\frac{4}{3}\pi R^3 = 27 \times \frac{4}{3}\pi r^3 \Rightarrow R = 3r\)
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