Water speed change in pipe with reduced area

Practice question

Question

Water flows through a pipe of area 0.05m2 at 1.5m/s. What is the speed in a section of area 0.015m2?

Options

Choose one · Correct answer highlighted

3 m/s 4 m/s 5 m/s Correct 6 m/s

Explanation

Continuity equation: A1v1 = A2v2. A1 = 0.05m2, v1 = 1.5m/s, A2 = 0.015m2. v2 = A1v1A2 = 0.05×1.50.015 = 5m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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