The horizontal acceleration that should be given to a smooth inclined plane of angle `sin^(-1)((1)/(l))` to keep an object stationary on the plane relative to the inclined plane is .

Options

A. `(g)/sqrt(l^(2)-1)`
B. `gsqrt(l^(2)-1)`
C. `(sqrt(l^(2)-l))/(g)`
D. `(g)/(sqrt(l^(2)+1))`

Answer

A

Explanation

Resolve mg and pseudo force into components At equilibrium `mg sin theta = ma cos theta` .