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PhysicsFluidSurface TensionHard2 minPYQ_2021

PhysicsHardnumerical

A soap bubble of the radius $3 cm$ is formed inside another soap bubble of radius, $6 cm$ . The radius of an equivalent soap bubble that has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is____ $cm .$

Answer:

2.00

Solution:

The formula of excess pressure inside the soap bubble is, $\frac{4 T}{R}$ here $T$ is the surface tension and $R$ is the radius of the soap bubble,

$\Rightarrow P_{0} + \frac{4 T}{6} + \frac{4 T}{3} = P_{0} + \frac{4 T}{R}$

$\Rightarrow \frac{1}{6} + \frac{1}{3} = \frac{1}{R}$ $\Rightarrow R = 2 cm$ .

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2021

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