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Question

Physics Question on Uniform Circular Motion

Radius of curved road on a highway is RR. Width of road is 66. The outer edge of road is raised by hh w.r.t. inner edge so that a car with velocity υ\upsilon can pass safe over it. The value of hh is

A

υ2Rgb\frac{\upsilon^2}{Rg}b

B

υRgh\frac{\upsilon}{Rgh}

C

υ2Rg\frac{\upsilon^2R}{g}

D

υ2R\frac{\upsilon^2}{R}

Answer

υ2Rgb\frac{\upsilon^2}{Rg}b

Explanation

Solution

tanθ=υ2Rgbtan \, \theta = \frac{\upsilon^2}{Rg} b i.e. hb=υ2Rg\frac{h}{b} = \frac{\upsilon^2}{Rg} i.e. h=υ2Rgbh = \frac{\upsilon^2}{Rg}b