Practice question
Question
A pipe’s cross-sectional area decreases from 0.09m2 to 0.03m2. If water flows at 1.5m/s in the larger section, what is the speed in the smaller section?
Explanation
Continuity equation: A1v1 = A2v2. A1 = 0.09m2, v1 = 1.5m/s, A2 = 0.03m2. v2 = A1v1A2 = 0.09×1.50.03 = 4.5m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.5 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
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