Question

Obtain the dimensions of surface tension.

Answer 1

Surface tension is defined as the ratio of the surface force applied on a liquid to the length along which the force acts.
mathematically,
if surface force applied on a liquid is F
and L is the length along which the force acts.
then, surface tension, T = F/L

so, dimension of surface tension = dimension of force/dimension of length
= $\frac{[MLT^{-2}]}{[L]}$

= $[MT^{-2}]$