Q.

Starting from rest, a body slides down a 450 inclined plane in twice the time, it takes to slide down thesame distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

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a

0.2

b

0.25

c

0.75

d

0.5

answer is C.

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Detailed Solution

For smooth surface,  a1=gsin45°,t1=tFor rough surface,  a2=gsin45°-μgcos45°,t2=2t∴  s=12a1t12=12a2t22             ∵s=12at2⇒  gsin45°t2=gsin45°-μgcos45°(2t)2⇒  1=(1-μ)4⇒μ=34=0.75
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