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1.Units, Dimensions and Measurement
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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
${v^2}rg$
Solution
(a) Angle of banking : $\tan \theta = \frac{{{v^2}}}{{rg}}$.
i.e. $\frac{{{v^2}}}{{rg}}$is dimensionless.
Standard 11
Physics
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