dimensional analysis (surface tension)

Question

Dimensions of surface tension are?

RankGuru · Accepted Answer

1. **Definition**: Surface tension ($\gamma$) is defined as the force ($F$) acting per unit length ($L$) along a line on the liquid surface.
2. **Equation**: $\gamma = F/L$.
3. **Dimensional Analysis**:
   - $[Force] = [MLT^{-2}]$
   - $[Length] = [L]$
4. **Calculation**:
   - $[\gamma] = \frac{[MLT^{-2}]}{[L]} = [ML^0 T^{-2}] = [MT^{-2}]$.
5. **Equivalent**: Note that surface tension also has the same dimensions as **Surface Energy per unit area** ($[ML^2T^{-2}] / [L^2] = [MT^{-2}]$).

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dimensional analysis (surface tension)

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