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Q.

A smooth inclined plane of inclination $60^{0}$ is fixed in a lift which is moving down with an acceleration $' g / 3'$ . If the base of the inclined plane is 'L', the time taken by a body released at the top of the inclined plane to reach the bottom is

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a

$\sqrt{\frac{4 L}{\sqrt{3} g}}$

b

$\sqrt{\frac{2 \sqrt{3} L}{g}}$

c

$\sqrt{\frac{16 L}{3 \sqrt{3} g}}$

d

$\frac{2 L}{\sqrt{3} g}$

answer is C.

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Detailed Solution

$S = u t + \frac{1}{2} a t^{2}$

$L = 0 + \frac{1}{2} (g - a) \sin θ t^{2}$

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A smooth inclined plane of inclination 600 is fixed in a lift which is moving down with an acceleration 'g/3' . If the base of the inclined plane is 'L', the time taken by a body released at the top of the inclined plane to reach the bottom is