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GATE ME 2025 Set 1 — Question 49

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NAT+2 / -0MediumManometryFluid Properties & StaticsFluid MechanicsApplications of BernoulliFluid Kinematics & Dynamics

Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli

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Question

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is 1.23 kg m−31.23 \text{ kg m}^{-3} while the density of water is 1000 kg m−31000 \text{ kg m}^{-3}. For the manometer reading of h=30 mmh = 30 \text{ mm} of mercury, the speed of air in the wind tunnel is _____________ m s−1\text{m s}^{-1} (rounded off to 1 decimal place).
Assume: Specific gravity of mercury =13.6= 13.6
Acceleration due to gravity =10 m s−2= 10 \text{ m s}^{-2}
Pitot tube connected to a U-tube mercury manometer measuring air flow in a wind tunnel
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