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For a flowing fluid, a dimensionless combination of velocity (V), length scale (l), and acceleration due to gravity (g) would be

1. V²/(gl)
2. Vg/l
3. gl²/V
4. l/(V² g)

Correct answer: V²/(gl)

Solution

The correct option, V²/(gl), is dimensionless because it combines the units of velocity squared (L²/T²) with the units of gravity (L/T²) and length (L), resulting in a ratio that cancels out all dimensions, leaving a pure number.

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