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Physics - Fluid Question with Solution | TestHub

PhysicsFluidPressureMedium2 minQB

PhysicsMediuminteger

A hemispherical light shell of radius R is filled with fluid of density $ρ$ and covered with a plate as in figure (a). Then whole system is inverted and a small hole is made at top as in figure (b). Minimum force that should be applied on shell to prevent any fluid to escape is $F = \frac{2}{x} ρ (π R^{3}) g$ , find x:

Answer:

Solution:

With the hole at the top, the fluid can be held only by applying a force equal to the weight deficit: $F + \frac{2}{3} ρ (π R^{3}) g = ρ (π R^{3}) g$

$F = \frac{1}{3} ρ π R^{3} g = \frac{2}{x} ρ (π R^{3}) g \Rightarrow x = 6$ .

Answer: 6

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Pressure

⏱ 2mℹ️ Source: QB

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