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Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionHard2 minPYQ_2019

PhysicsHardsingle choice

A soap bubble, blown by a mechanical pump at the mouth of a tube increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by:

Options:

Answer:

Solution:

$\frac{d V}{d t} = k$

$\Rightarrow V = k t$

$\Rightarrow \frac{4}{3} π r^{3} = k t$

$\Rightarrow r = {(\frac{3 k}{4 π})}^{\frac{1}{3}} t^{\frac{1}{3}}$

$P - P_{0} = \frac{4 T}{r}$

$\Rightarrow P - P_{0} = 4 T . {(\frac{3 k}{4 π})}^{\frac{1}{3}} . \frac{1}{t^{\frac{1}{3}}}$ $\Rightarrow P = 4 T . {(\frac{3 k}{4 π})}^{\frac{1}{3}} . \frac{1}{t^{\frac{1}{3}}} + P_{0}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2019

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