On an inclined plane of inclination angle `30^(@)`, a block is placed. It is observed that the force to drage the block along the plane upwards is smaller than the force required to lift it. The maximum value of coefficient of friction is .

Options

A. `(sqrt3)/(2)`
B. `(1)/(2)`
C. `(1)/(sqrt3)`
D. `(2)/(3)`

Answer

C

Explanation

`F_(1) =mg sin theta+ f ,f =mu N ,N =mg cos theta`
`F_(2) =mg :.` It is given that `F_(1) lt F_(2)` .