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Q.

A body is rolling without slipping on a horizontal plane. If the rotational energy of the body is $40 %$ of the total kinetic energy, then the body might be:

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a

Cylinder

b

Ring

c

Hollow sphere

d

Solid cylinder

answer is B.

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Detailed Solution

$\frac{\frac{1}{2} m v^{2} β}{\frac{1}{2} m v^{2} (1 + β)} = \frac{40}{100} \Rightarrow β = \frac{2}{3}$

$\Rightarrow$ Hollow sphere

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