Dimensional Formula of Surface Tension

The dimensional formula of the surface tension is (T) = M¹T^-2

In the above formula,

• M represents mass
• T represents time

Derivation of Dimensional Formula of Surface Tension:

The formula for surface tension (T) is given by,

T = F/L

By the second law of motion, F = ma, where F represents the force applied, m is mass of the object and a is the acceleration generated with the help of force.

Also, acceleration is change in velocity with unit m/s², which can be written as dimension [L/T²]

Substituting this into the Force equation we get,

F = [M] × [L/T²]

Now, substitute this expression for force (F) back into the formula for surface tension (T) we get,

T = {[M] × [L/T²]}/[L] = [MT^-2]

So, the derived dimensional formula of the Surface Tension if M¹T^-2.

Dimensional Formula of Surface Tension is M¹T^-2. As we know, surface tension is the property of liquids that influences various phenomena, from the shape of raindrops to the behavior of small insects on water surfaces. Mathematically it is defined as, the force per unit length acting in the plane of the liquid surface and perpendicular to a line drawn on the surface.

In this article, we will provide a brief overview of surface tension and discuss its dimensions, including the derivation of the dimensional formula using the surface tension formula.