MCQ
A spherical shell has mass one fourth of mass of a solid sphere and both have same $M.I.$ about their respective diameters. The ratio of their radii will be :-
- A$1 : 2$
- ✓$\sqrt {12} : \sqrt 5$
- C$\sqrt 3 : \sqrt {20}$
- D$\sqrt 5 : \sqrt {20}$
✓
Answer
Correct option: B.
$\sqrt {12} : \sqrt 5$
b
$\mathrm{I}_{\mathrm{HS}}=\mathrm{I}_{\mathrm{SS}}$
$\mathrm{I}_{\mathrm{HS}}=\mathrm{I}_{\mathrm{SS}}$
$\frac{2}{3} \frac{M}{4} R_{H}^{2}=\frac{2}{5}(M) R_{S}^{2}$
$\frac{\mathrm{R}_{\mathrm{H}}}{\mathrm{R}_{\mathrm{S}}}=\sqrt{\frac{12}{5}}$
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