A body takes just twice the time as long t

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A body takes just twice the time as long to slide down a plane inclined at $30^o$ to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is

A

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

B

$\sqrt 3 $

C

$\frac{4}{3}$

D

$\frac{3}{4}$

A body takes just twice the time as long to slide down a plane inclined at $30^o$ to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is

$\mu = \tan \theta \left( {1 - \frac{1}{{{n^2}}}} \right) = \tan 30^°\left( {1 - \frac{1}{{{2^2}}}} \right) = \frac{{\sqrt 3 }}{4}$