The opening near the bottom of the vessel has an area A. A disc is held against the opening to keep the liquid from running out. Let F1 be the net force on the disc applied by liquid and air in this case. Now the disc is moved away from the opening a short distance. The liquid comes out and strikes the disc in elastically. Let F2 be the force exerted by the liquid in this condition. Then, F1/F2 is:

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Detailed Solution

Let ρ be the density of liquid. Then, F1=(ΔP)A=ρgh A …(1) In the second case,F2= rate of change of momentum=ρAv2=ρA(2gh)2 =2ρghA …(2) ∴ F1F2=12

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