Which of the following is dimensionless ? | PHYSICS - DIMENSIONAL ANALYSIS AND ITS APPLICATIONS | SolveeIt | Solveeit

Today, August 18

Question

Which of the following is dimensionless ?

A

$\frac{v^{2}}{rg}$

B

$\frac{v^{2}g}{r}$

C

$\frac{vg}{r}$

D

v²rg

Answer

$\frac{v^{2}}{rg}$

Explanation

Solution

$\frac{v^{2}}{rg} = \frac{(L^{1}T^{- 1})^{2}}{L^{1} \times L^{1}T^{- 2}}$ = dimension less.