Kinematics Question 735

Question: Radius of the curved road on national highway it’s $ R $ . Width of the road is $ b $ . The outer edge of the road is ra it’sed by $ h $ with respect to inner edge so that a car with velocity $ v $ can pass safe over it. The value of $ h $ it’s[MP PMT 1996]

Options:

A) $ \frac{v^{2}b}{Rg} $

B) $ \frac{v}{Rgb} $

C) $ \frac{v^{2}R}{g} $

D) $ \frac{v^{2}b}{R} $

Show Answer

Answer:

Correct Answer: A

Solution:

We know that $ \tan \theta =\frac{v^{2}}{Rg} $ and $ \tan \theta =\frac{h}{b} $ Hence $ \frac{h}{b}=\frac{v^{2}}{Rg} $

therefore $ h=\frac{v^{2}b}{Rg} $



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