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Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionMedium2 minPYQ_2012

PhysicsMediumsingle choice

A soap bubble of radius $r$ is blown up to form a bubble of radius $2 r$ under isothermal conditions. If $T$ is the surface tension of soap solution, the energy spent in the blowing

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Solution:

Initially area of soap bubble $A_{1} = 4 π r^{2}$ Under isothermal condition radius becomes $2 r$ , Then, area $A_{2} = 4 π (2 r)^{2}$ $= 4 π \cdot 4 r^{2}$ $= 16 π r^{2}$ Increase in surface area $Δ A = 2 (A_{2} - A_{1})$ $= 2 (16 π r^{2} - 4 π r^{2})$ $= 24 π r^{2}$ Energy spent $W = T \times Δ A$ $= T \cdot 24 π r^{2}$ $W = 24 π T r^{2} J$

Stream:JIPMERSubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2012

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