If energy (E), velocity (v), and time (T) are chosen as the fundamental physical quantities, the dimensional formula for surface tension will be:

Let surface tension $S \propto E^a v^b T^c$. Dimensions of surface tension are $[MT^{-2}]$, energy is $[ML^2T^{-2}]$, velocity is $[LT^{-1}]$, and time is $[T]$. Therefore, $[MT^{-2}] = [ML^2T^{-2}]^a [LT^{-1}]^b [T]^c = [M^a L^{2a+b} T^{-2a-b+c}]$. Equating powers: $a=1$, $2a+b=0 \Rightarrow b=-2$, $-2a-b+c=-2 \Rightarrow -2 -(-2) + c = -2 \Rightarrow c=-2$. Thus, $S \propto E v^{-2} T^{-2}$.