MCQ
A ring solid sphere and a disc are rolling down from the top of the same height, then the sequence to reach on surface is
- ARing, disc, sphere
- ✓Sphere, disc, ring
- CDisc, ring, sphere
- DSphere, ring, disc
✓
Answer
Correct option: B.
Sphere, disc, ring
b
Time of descent $ \propto $ moment of inertia $ \propto \frac{{{k^2}}}{{{R^2}}}$
Time of descent $ \propto $ moment of inertia $ \propto \frac{{{k^2}}}{{{R^2}}}$
${\left( {\frac{{{k^2}}}{{{R^2}}}} \right)_{sphere}} = 0.4$, ${\left( {\frac{{{k^2}}}{{{R^2}}}} \right)_{disc}} = 0.5$, ${\left( {\frac{{{k^2}}}{{{R^2}}}} \right)_{ring}} = 1$
$\,\,{t_{sphere}}\,\,\,\,\,\, < {t_{disc}}\,\,\,\,\,\,\,\, < \,\,{t_{ring}}$.
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