The surface tension of water is 72 dyne cm-1. Convert it in SI unit

Question

Philoid · Accepted Answer

We know that,

Now, Dimensions of Force = and Dimensions of Length =

Thus, Dimensions of Surface Tension is given by:

SI Unit of Surface Tension is Newton per Meter (Nm^-1). Also CGS unit of Surface Tension is dyne per centimetre (dyne cm^-1).

So, the magnitude of the physical quantity remains unchanged, whatever be the system of units.

Let,

be the signs of SI unit of the mass, length and time. Also let be the signs of CGS unit of mass, length and time.

So,

Now,

Nm^-1

So, Surface Tension in SI Units is Nm^-1

The surface tension of water is 72 dyne cm^-1. Convert it in SI unit