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Question: The slope of the smooth banked horizontal road is \(p\). If the radius of the curve be \(r\), the ma...

The slope of the smooth banked horizontal road is pp. If the radius of the curve be rr, the maximum velocity with which a car can negotiate the curve is given by

A

prgprg

B

prg\sqrt{prg}

C

p/rgp/rg

D

p/rg\sqrt{p/rg}

Answer

prg\sqrt{prg}

Explanation

Solution

tan⁡θ=v2rg⇒p=v2rg\tan\theta = \frac{v^{2}}{rg} \Rightarrow p = \frac{v^{2}}{rg} ∴ v=prgv = \sqrt{prg}