A given object taken n time more time to slide down `45^(@)` rough inclined plane as it taken to slide down a perfectly smooth `45^(@)` incline The coefficient of kintic friction between the object and the incline is .

Options

A. `sqrt(1-(1)/(n^(2)))`
B. `1-(1)/(n^(2))`
C. `(1)/(2-n^(2))`
D. `sqrt((1)/(1-n^(2)))`

Answer

B

Explanation

The coefficient of kinetic friction between the obejct and the incline
`mu= tan theta(-1(1)/(n^(2)) rAr mu=1-(1)/(n^(2))( :. theta=45^(@))`