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Q.

A smooth inclined plane of inclination 300  is fixed in a lift which is moving down with an acceleration 'g/4'.  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

32 L33 g

b

4 L3 g

c

43 Lg

d

16 L3 g

answer is A.

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Detailed Solution

t=2ℓ(g−a)sinθ                                                                                 ℓ=Lcosθ =2L(g−a)sinθcosθ=2L(g−g4)(12)(32)   =32L33g
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A smooth inclined plane of inclination 300  is fixed in a lift which is moving down with an acceleration 'g/4'.  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