Question

Given the SI unit of surface tension is Nm-1,Then dimensional formula for surface tension S is a) [M1L2T-2] b) [M1L0T-2] c) [M1LT] d) [M2LT-2]​

Answer 1

Explanation:

Dimensional Formula of Surface Tension

The surface tension dimensional formula is given by,

M¹L⁰T⁻²

Where,

M = Mass

L = Length

T = Time

Derivation

Surface Tension (T) = Force × Length-1 . . . . . (1)

Since, Force = Mass × Acceleration

And, acceleration = velocity × time-1 = [L T-2]

∴ Dimensional unit of surface tension = M1 L1 T-2 . . . . (2)

Substitute equation (2) in equation (1), later we get,

Surface Tension (T) = Force × Length-1

Or, T = [M1 L1 T-2] × [L-1] = M1 T-2.

Therefore, the surface tension dimension formula is represented as M1 T-2.