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As shown in the figure a body of mass m moving vertically with speed $3 m s^{- 1}$ hits smooth fixed inclined plane and rebounds with a speed $v_{f}$ in the horizontal direction. If the angle of inclined is $30^{0} .$ The speed $v_{f}$ will be

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$3 m s^{- 1}$

This is not possible

$\sqrt{3} m s^{- 1}$

$\frac{1}{\sqrt{3}} m s^{- 1}$

answer is B.

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Detailed Solution

Velocity along surface remains same

$3 \sin 30^{0} = v_{f} \sin 60^{0}$

$v_{f} = \sqrt{3} m / s$

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