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Physics - Fluid Question with Solution | TestHub

PhysicsFluidArchimedes principleMedium2 minQB

PhysicsMediummultiple choice

Consider a spherical bubble of radius R at a depth of h from the surface of water. At the instant when force become zero (atmospheric pressure is $P_{0}$ , surface tension, viscosity & density of the water is T, $η$ & $ρ$ ). Then (neglect density of air in compare to water) :

Options:(select one or more)

Answer:

A, B, C, D

Solution:

Source diagram of a bubble of radius R at depth h

(A) Pressure inside = $P_{0} + ρ g h + \frac{2 T}{R}$ (excess pressure).
(B) Velocity of sphere won’t remain constant as radius will go on decreasing with depth.
(C) Velocity of the sphere $\frac{2 ρ g r ^{2}}{9 η}$ .
(D) Because there is a term of $\frac{2 T}{R}$ so radius increases as sphere moves up.

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Archimedes principle

⏱ 2mℹ️ Source: QB

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