GATE AG 2020 • Q39 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Hydrostatic pressure and its measurement

Question Statement:

A differential mercury manometer connected across two points on a pipe carrying oil shows a 20 cm mercury-level difference. Specific gravity of oil = 0.8, mercury = 13.6; ρwater=1000 kg/m³ at 4°C, g=9.81 m/s². Find the pressure difference at the two points (N/m²).

Options:

  • (A) 25.11
  • (B) 251.14
  • (C) 25113.60
  • (D) 251136.00

Official Answer Key:

C

Step-by-Step Solution & Explanation

Δp = (ρ_Hg − ρ_oil)×g×h = (13600−800)×9.81×0.20 = 12800×9.81×0.20 = 25113.6 N/m².

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