A tube of small uniform cross-section is used to siphon water from the vessel shown. Take ρwater = 10³ kg m⁻³, g = 10 m s⁻² and Patm = 10⁵ Pa. Choose the correct alternative(s). Image
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Question

A tube of small uniform cross-section is used to siphon water from the vessel shown. Take ρwater = 10³ kg m⁻³, g = 10 m s⁻² and Patm = 10⁵ Pa. Choose the correct alternative(s). Image

G1 Physics · Accepted Answer

Step 1: Apply Bernoulli between the free surface and outlet B. The outlet is 4 m below the free surface, so v = √(2g×4) = √80 m s⁻¹. Step 2: At the highest point, pressure must not fall below zero absolute pressure. Using Bernoulli with Patm/(ρg)=10 m and the flow-speed head v²/(2g)=4 m gives h₁,max = 10−4 = 6 m. Correct answers: A, D.