From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is
$\frac{{ch}}{{2\pi \varepsilon _0^2}}$
$\frac{{{e^2}}}{{2\pi {\varepsilon _0}Gm_e^2}}$
$\frac{{{\mu _0}{\varepsilon _0}G}}{{{c^2}h{e^2}}}$
$\frac{{2\pi \sqrt {{\mu _0}{\varepsilon _0}} h}}{{c{e^2}G}}$
If dimensions of critical velocity $v_c$ of a liquid flowing through a tube are expressed as$ [\eta ^x \rho ^yr^z]$ where $\eta ,\rho $ and $r $ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of $x, y$ and $z$ are given by
Dimensions of coefficient of viscosity are
If $C$ and $R$ represent capacitance and resistance respectively, then the dimensions of $RC$ are
If force $(F)$, velocity $(V)$ and time $(T)$ are considered as fundamental physical quantity, then dimensional formula of density will be:
Identify the pair whose dimensions are equal