Question

The dimensional formula of surface tension is ______.

Options

• [L⁻¹M¹T⁻²]

• [L²M¹T⁻²]

• [L¹M¹T⁻¹]

• [L⁰M¹T⁻²]

Answer 1

The dimensional formula of surface tension is [L⁰M¹T^-2].

Explanation:

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

Since Force = Mass × Acceleration

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

∴ The dimensional formula of force = M¹ L¹ T⁻²

On substituting equation (2) in equation (1), we get,

Surface Tension (T) = Force × Length⁻¹

Or, T = [M¹ L¹ T⁻²] × [L⁻¹] = M¹ T⁻².

Therefore, surface tension is dimensionally represented as [L⁰M¹T⁻²].