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A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first ?

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Depends on their masses

Disc

Sphere

Both reach at the same time

answer is B.

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Detailed Solution

acceleration $= \frac{g \sin θ}{1 + \frac{K^{2}}{R^{2}}}$

for disc; $\frac{K^{2}}{R^{2}} = \frac{1}{2} = 0.5$

for sphere; $\frac{K^{2}}{R^{2}} = \frac{2}{5} = 0.4$

$\Rightarrow a_{(s p h e r e)} > a_{(d i s c)}$ Therefore sphere reaches first

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