Dimensional Formula of Universal Gas Constant is
$[M{L^2}{T^{ - 2}}{\theta ^{ - 1}}]$
$[{M^2}L{T^{ - 2}}\theta ]$
$[M{L^3}{T^{ - 1}}{\theta ^{ - 1}}]$
None of these
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express length in terms of dimensions of these quantities.
The dimensions of permittivity ${\varepsilon _0}$ are
Out of following four dimensional quantities, which one quantity is to be called a dimensional constant
In terms of basic units of mass $(M)$, length $(L)$, time $(T)$ and charge $(Q)$, the dimensions of magnetic permeability of vacuum $\left(\mu_0\right)$ would be
If the time period $(T)$ of vibration of a liquid drop depends on surface tension $(S)$, radius $(r)$ of the drop and density $(\rho )$ of the liquid, then the expression of $T$ is