AP EAMCET · PHYSICS · Rotational Motion
A solid sphere and a solid cylinder have same mass and same radius. The ratio of the moment of inertia of the solid sphere about its diameter and the moment of inertia of the solid cylinder about its axis is
- A \(3: 5\)
- B \(4: 5\)
- C \(3: 1\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(B) \(4: 5\)
Step-by-step Solution
Detailed explanation
\(I_{sphere} = \frac{2}{5}MR^2\) \(I_{cylinder} = \frac{1}{2}MR^2\) \(\frac{I_{sphere}}{I_{cylinder}} = \frac{\frac{2}{5}MR^2}{\frac{1}{2}MR^2} = \frac{2}{5} \times \frac{2}{1} = \frac{4}{5}\) Ratio: \(4:5\)
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