1.

A given object taken double time to slide down a `45^(@)` rough incline as it takes to slide down a perfectly smooth `45^(@)` incline. The coefficient of kinetic friction between the object and the incline is given byA. `(1)/(4)`B. `(1)/(2)`C. `(3)/(4)`D. `(1)/(sqrt2)`

Answer» Correct Answer - C
`sqrt((2s)/(g sin 45^(@) - mu g cos 45^(@))) = 2 xx sqrt((2s)/(g sin 45^(@)))`
`(1)/(((1)/(sqrt2) - (mu)/(sqrt2))) = (4)/(((1)/(sqrt2)))`
`1 = 4 (1 - mu)`
`mu = (3)/(4)`


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