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Physics - Fluid Question with Solution | TestHub

PhysicsFluidArchimedes principleEasy2 minPYQ_2020

PhysicsEasysingle choice

A vessel contains oil (density $0.9 g {cc}^{- 1}$ ) over mercury (density $13.6 g {cc}^{- 1}$ ). A homogeneous sphere floats with one-third of its volume immersed in mercury and the rest immersed in oil. The density of the material of the sphere in $g {cc}^{- 1}$ is

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Answer:

Solution:

For equilibrium, the total upward push will be equal to the downward pull. If $V$ is the volume of the sphere, then we have

$(\frac{V}{3}) (13.6) g + (\frac{2 V}{3}) (0 .9) g = V ρ g$

$∴ ρ = (\frac{13.6 + 1.8}{2}) {g cm}^{- 3} = 5 .1 {g cm}^{- 3}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:FluidSubtopic:Archimedes principle

⏱ 2mℹ️ Source: PYQ_2020

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