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Fluid Mechanics
Bernoulli's Equation
GATE 2013
Easy

An open tank contains two immiscible liquids of densities 800 kg/m³ (top layer, 2 m deep) and 1000 kg/m³ (bottom layer, 1 m deep). If g=10 m/s², under static conditions, the gauge pressure at the bottom of the tank in Pa is _____

26000 Pa(± 500 accepted)

Explanation

Gauge pressure at the bottom = sum of hydrostatic pressures from each layer: P=ρ_top·g·h_top+ρ_bottom·g·h_bottom=800×10×2+1000×10×1=16,000+10,000=26,000 Pa.

Source: GATE CH 2013 (2013)

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