Engineering
Physics
Physical Quantities
Dimensions
Surface Tension and Surface Energy
Question

The only possible dimensionless group which combines velocity V, body size L, fluid density r, and surface tension coefficient σ is

ρLV2 / σ

ρVL2 / σ

σLV2 / ρ

ρσV2 / L

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Solution
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ML3LT1L2MT2

ML3×MT2×L2T2L

ML2×L×L2T2ML3