A body kept on a smooth inclined plane inclination 1 in x will remain stationary relative to the inclined plane if the plane is given a horizontal accleration equal to

Options

A. `sqrt(x^(2)-1g)`
B. `sqrt(x^(2)-t)/(x)g`
C. `(gx)/sqrt(x^(2)-1)`
D. `(g)/sqrt(x^(2)-1)`

Answer

D

Explanation

`therefore ma cos theta=mg sin theta`
`a=g tan theta=gxx(1)/sqrt(x^(2)-1)`