If velocity$(V)$, force$(F)$ and time$(T)$ are chosen as fundamental quantities then dimensions of energy are
$\left[ {{V^{ - 1}}{F^1}{T^1}} \right]$
$\left[ {{V^{1}}{F^1}{T^1}} \right]$
$\left[ {{V^1}{F^2}{T^{ - 1}}} \right]$
$\left[ {{V^2}{F^{ - 1}}T} \right]$
Time $(T)$, velocity $(C)$ and angular momentum $(h)$ are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be
Write principle of Homogeneity of dimension.
The quantum hall resistance $R_H$ is a fundamental constant with dimensions of resistance. If $h$ is Planck's constant and $e$ is the electron charge, then the dimension of $R_H$ is the same as
The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$