1.

A particle is projected up a `37^(@)` rough incline with velocity `v_(0)`. If `mu = 1//2`, the speed with which it returns back to the starting point is `v`. Then `v//v_(0)` isA. `(1)/(2)`B. `(1)/(sqrt(3))`C. `(1)/(sqrt(5))`D. `(1)/(sqrt(2))`

Answer» Correct Answer - C
`0 = v_(0)^(2) -2 (g sin 37^(@) + mu g cos 37^(@))d` (i)
`v^(2) = 2(g sin 37^(@) - mu g cos 37^(@))d` (ii)
`(v)/(v_(0)) = (1)/(sqrt(5))`


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