Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionHard2 minPYQ_2020

PhysicsHardsingle choice

A small spherical droplet of density $d$ is floating exactly half immersed in a liquid of density $ρ$ and surface tension $T .$ The radius of the droplet is (take note that the surface tension applies an upward force on the droplet):

Options:

Answer:

Solution:

$d V g = p (\frac{V}{2}) g + T (2 π r)$
$\Rightarrow d . \frac{4}{3} π r^{3} g = p . \frac{2}{3} π r^{3} g + 2 π r T$
$\Rightarrow \frac{2}{3} r^{2} g (2 d - p) = 2 T$
$\Rightarrow r = \sqrt{\frac{3 T}{(2 d - p) g}}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2020

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