Dimensional Analysis (surface Tension)
Dimensions of surface tension are?
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About This Question
- Subject
- physics
- Chapter
- properties of solids and liquids
- Topic
- dimensional analysis (surface tension)
- Difficulty
- Medium
- Year
- 2025
Solution
- Definition: Surface tension (γ) is defined as the force (F) acting per unit length (L) along a line on the liquid surface.
- Equation: γ=F/L.
- Dimensional Analysis:
- [Force]=[MLT−2]
- [Length]=[L]
- Calculation:
- [γ]=[L][MLT−2]=[ML0T−2]=[MT−2].
- Equivalent: Note that surface tension also has the same dimensions as Surface Energy per unit area ([ML2T−2]/[L2]=[MT−2]).
This medium difficulty physics question is from the chapter properties of solids and liquids, covering the topic of dimensional analysis (surface tension). It appeared in the 2025 exam.
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