The dimensions of $\frac{\alpha}{\beta}$ in the equation $F=\frac{\alpha-t^2}{\beta v^2}$, where $F$ is the force, $v$ is velocity and $t$ is time, is ..........
$\left[ MLT ^{-1}\right]$
$\left[ ML ^{-1} T ^{-2}\right]$
$\left[M L^3 T^{-4}\right]$
$\left[ ML ^2 T ^{-4}\right]$
The quantities which have the same dimensions as those of solid angle are:
If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be
Let $[{\varepsilon _0}]$ denotes the dimensional formula of the permittivity of the vacuum and $[{\mu _0}]$ that of the permeability of the vacuum. If $M = {\rm{mass}}$, $L = {\rm{length}}$, $T = {\rm{Time}}$ and $I = {\rm{electric current}}$, then
Dimensional formula for angular momentum is
The dimensions of pressure are