A block of mass
is lying on a rough inclined plane having an inclination
. The inclined plane is moving horizontally with a constant acceleration of
as shown in the figure. The minimum value of coefficient of friction, so that the block remains stationary with respect to the inclined plane is (Take,
)

Text Solution
Verified by ExpertsB
The block-plane system is shown in the figure,

So, from the above free body diagram (FBD), Acceleration of body sliding up over inclined plane.

Acceleration of body sliding down over a rough inclined plane

From block to be stationary,
………(iii)
Dividing above equation by
and putting the values,

Hence, the correct option is
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