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)-1)/(g)`
D. `(g)/(sqrt(l^(2)+1))`

Answer

a

Explanation

Here downward force due to wt. = upward force due to reaction
`mg sin theta= ma costheta`
`a = g tan theta       ( :.sin theta =(1)/(l))`
`gxx(1)/(sqrt(l^(2)-1))=(g)/(sqrt(l^(2)-1))`
(a) is the choice.