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The dimensions of surface tension are:

Last updated date: 03rd Mar 2024
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Hint: In this question, we will first study the basic definition of surface tension and the S.I unit of surface tension, this will help us to get the dimensional formula for surface tension. Further, we will study the basics of force, for our better understanding.
Formula used:
$\gamma = \dfrac{1}{2}\dfrac{F}{L}$

As we know that surface tension can be defined as the force per unit length which is perpendicular to a line drawn in the surface of the liquid. The S.I unit of surface tension is given by Newton per meter, and in C.G.S unit surface tension is given as dynes per centimeter.
We can write the expression of surface tension as:
$\gamma = \dfrac{1}{2}\dfrac{F}{L}$
Here, F is the force applied on the object and L is the length.
As we know the unit of force is Newton, and unit of force is meter, so, the dimensional formula will be:
$\left[ {{M^1}{L^0}{T^{ - 2}}} \right]$, which can be written as: $\left[ {M{T^{ - 2}}} \right]$.
Here, M is mass, L is length and T is the time.
Therefore, we get the required answer.