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Q.

A solid sphere, a spherical shell, a ring and a disc of same radius and mass are allowed to roll down an inclined plane without slipping. The one which reaches the bottom first is

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a

Solid sphere

b

Ring

c

Spherical shell

d

Disc

answer is A.

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Detailed Solution

$t = \sqrt{\frac{2 h}{g \sin^{2} θ} (1 + \frac{K^{2}}{R^{2}})}$

Body of smaller $\frac{K^{2}}{R^{2}}$ will take less time. so solid sphere will reach the ground first.

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A solid sphere, a spherical shell, a ring and a disc of same radius and mass are allowed to roll down an inclined plane without slipping. The one which reaches the bottom first is