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PhysicsFluidArchimedes principleEasy2 minQB

PhysicsEasysingle choice

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If $ρ_{C}$ is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

Options:

Answer:

Solution:

$F_{B} = mg_{(Water)} + mg_{(container)}$

$ρ_{W} (A + Δ A) \frac{H}{2} g = ρ_{W} hAg + ρ_{C} ρ_{W} H Δ Ag$

$hA = (\frac{AH}{2}) + (\frac{Δ AH}{2}) - (ρ_{C} Δ AH)$

$h = \frac{H}{2} + \frac{H Δ A}{A} (0.5 - ρ_{C})$

This shows that $h > \frac{H}{2}$ if $ρ_{C} < 0.5$ So Ans. (A)

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Archimedes principle

⏱ 2mℹ️ Source: QB

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