First slide

Dimensions of physical quantities

Question

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

Easy

A

Both dimensionally and numerically correct
B

Neither numerically nor dimensionally correct
C

Dimensionally correct only
D

Numerically correct only

Solution

Given equation is dimensionally correct because both sides are dimensionless but numerically wrong because the correct equation is $\tan θ = v^{2} / r g$

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