Q 11-04-041NEETJEE MainEasy
A road curve of radius $160$ m is banked so that $\tan\theta = 0.25$. The speed at which a car can take the curve with no need for friction is ($g = 10\ \text{m/s}^2$)
Answer: (B) $20$ m/s
Concept. No-friction banking speed: $v = \sqrt{rg\tan\theta}$.
Step 1. Substitute. $\sqrt{160 \times 10 \times 0.25} = 20$ m/s.
Answer. $20$ m/s (Option B).
Solution by Sreeraj P, M.Sc Physics