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An object is kept on a smooth inclined plane of 1 in l. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is given by

a
g(l2−1)
b
g(l2−1)
c
g/(l2−1)
d
g/(l2−1)

detailed solution

Correct option is C

See fig.From figuretan⁡θ=1/(l2−1)A horizontal acceleration imparted to the inclined plane has a component acos⁡θ down the plane.The object will appear stationary relative to the incline if acos⁡θ=gsin⁡θa=gtan⁡θ=g/l2−1.

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