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The ratio of acceleration of blocks A placed on smooth incline with block B placed on rough incline is 2 : 1. The coefficient of kinetic friction between block B and incline is:

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0.75

0.57

0.25

0.5

answer is A.

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Detailed Solution

$\frac{a_{A}}{a_{B}} = \frac{gsinθ}{gsinθ - μgcosθ} = \frac{2}{1}$

$\Rightarrow \frac{1}{(1 - μ)} = 2$ $[∵ \sin 45 ° = \cos 45 ° = \frac{1}{\sqrt{2}}]$

$\Rightarrow μ = 0.5$

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