Fluid Mechanics: Bernoulli's Theorem MCQ

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Bernoulli's TheoremHardQuestion 30987

Question

A horizontal converging nozzle discharges water. If nozzle exit area is 1/4 of inlet area and inlet speed is 2 m/s, the exit kinetic energy per unit volume is:

A
2000 J/m³
B
16000 J/m³
C
32000 J/m³
Correct
D
8000 J/m³

Correct answer

32000 J/m³

Explanation

v_exit = 4×2 = 8 m/s (continuity). KE/volume = ½ρv² = ½×1000×64 = 32000 J/m³.

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