Q. From the equation tan$\theta = \frac{rg}{v^{2}},$ one can obtain the angle of banking $\theta\$for a cyclist taking a curve (the symbols have their usual meanings). Then say it is,

A) Both dimensionally and numerically correct
B) Neither numerically nor dimensionally correct
C) Dimensionally correct only
D) Numerically correct only
Explanation

Given equation is dimensionally correct because both sides are dimensionless but numerically wrong because the correct equation is tan $\theta = \frac{v^{2}}{rg}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.