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GATE 2025 MN – Question 43

Mining Methods and Machinery · Mining Machinery · 2 marks · Numerical answer

A column supplies400 mL/s through an outlet of area10⁻⁴ m². With g=10 m/s² and negligible friction/losses, find the driving head H in cm to two decimals.

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Correct answer: 75.00 to 85.00

Explanation

Convert flow to0.0004 m³/s. Outlet velocity is Q/A=4 m/s. Bernoulli/Torricelli gives H=v²/(2g)=16/20=0.8 m=80.00 cm. The required head depends on the free-surface-to-outlet difference; idealising losses is part of the question.

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