Given that $v$ is the speed, $r$ is radius and $g$ is acceleration due to gravity. Which of the following is dimensionless?
$\frac{{{v^2}r}}{g}$
$\frac{{{v^2}}}{rg}$
$\frac{{{v^2}}}{g/r}$
$v^2rg$
A quantity $f$ is given by $f=\sqrt{\frac{{hc}^{5}}{{G}}}$ where $c$ is speed of light, $G$ universal gravitational constant and $h$ is the Planck's constant. Dimension of $f$ is that of
The frequency of vibration $f$ of a mass $m$ suspended from a spring of spring constant $K$ is given by a relation of this type $f = C\,{m^x}{K^y}$; where $C$ is a dimensionless quantity. The value of $x$ and $y$ are
The dimension of the ratio of magnetic flux and the resistance is equal to that of :
Write principle of Homogeneity of dimension.