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Two uniform solid spheres having unequal masses and unequal radii are released from rest at the same height on a rough inclined plane . If the spheres roll without slipping

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The heavier sphere reaches the bottom first

The bigger sphere reaches the bottom first

The two spheres reach the bottom together

The information given is not sufficient to tell which sphere will reach bottom

answer is C.

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Detailed Solution

$a = \frac{gsinθ}{1 + \frac{K^{2}}{R^{2}}}$ for solid sphere $\frac{K^{2}}{R^{2}} = \frac{2}{5}$ so acceleration is independent of mass and radius.

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