Given that $v$ is speed, $r$ is the radius and $g$ is the acceleration due to gravity. Which of the following is dimensionless
A${v^2}/rg$
B${v^2}r/g$
C${v^2}g/r$
D${v^2}rg$
Medium
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A${v^2}/rg$
a (a) Angle of banking : $\tan \theta = \frac{{{v^2}}}{{rg}}$.
i.e. $\frac{{{v^2}}}{{rg}}$is dimensionless.
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