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 $\theta = \frac{v^{2}}{rg}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.