Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionMedium2 minPYQ_2014

PhysicsMediumsingle choice

On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If r << R, and the surface tension of water is T, value of r just before bubbles detatch is :
(density of water is $ρ_{w}$ )

Options:

Answer:

Solution:

When the bubble gets detached,

Buoyant force = force due to surface tension

$\int T \times dl sin θ = \frac{4}{3} π R^{3} ρ_{w} g$

$\Rightarrow T \times 2 π r \times \frac{r}{R} = \frac{4}{3} π R^{3} ρ_{w} g$
$\Rightarrow r^{2} = \frac{2 R^{4} ρ_{w} g}{3T}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2014

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