An object is kept on a smooth inclined plane of height 1 unit and length l units. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is

Options

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

Answer

C

Explanation

Here, `sin theta = (1)/(1)`

Let the required acceleration of an inclined plane be a for the object to remain stationary relative to incline, we have
`ma cos theta = mg sin theta`
`a = g tan theta = (1)/(sqrt(l^(2) -1))`