Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionEasy2 minQB

PhysicsEasysingle choice

In a cylinder-piston arrangement, the air is under a pressure $P_{1}$ . A soap bubble of radius $r$ lies inside the cylinder. Soap bubble has surface tension $T$ . The radius of soap bubble is to be reduced to half. Find the pressure $P_{2}$ to which air should be compressed isothermally.

Options:

Answer:

Solution:

Using P_iV_i= P_fV_f(for the air bubble)

we have

$(P_{1} + \frac{4 T}{r}) (\frac{4}{3} π r^{3}) = (P_{2} + \frac{4 T}{r / 2}) [\frac{4}{3} π {(\frac{r}{2})}^{3}]$

Solving this, we get

$P_{2} = 8 P_{1} + \frac{24 T}{r}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...