TS EAMCET · Physics · Rotational Motion
The ratio of the radii of two solid spheres of same mass is \(2: 3\). The ratio of the moments of inertia of the spitıres about their diameters is
- A 4:9
- B 2:3
- C 8:27
- D 16:81
Answer & Solution
Correct Answer
(A) 4:9
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{2}{3}\) Moment of inertia, \(\mathrm{I}=\frac{2}{5} \mathrm{MR}^2\) \(\mathrm{I} \propto \mathrm{R}^2\) \[ \frac{I_1}{I_2}=\left(\frac{R_1}{R_2}\right)^2=\left(\frac{2}{3}\right)^2=\frac{4}{9} \]
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