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

Options

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

Answer

A

Explanation

`sinalpha=(1)/(x),tanalpha=(1)/(sqrt(x^(2)-1))`
`a=g tanalpha=(g)/(sqrt(x^(2)-1))`