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Physics - Fluid Question with Solution | TestHub

PhysicsFluidSurface TensionMedium2 minPYQ_2022

PhysicsMediumsingle choice

If a capillary tube of radius $1 mm$ is immersed in water, the mass of water rising in the capillary tube is $m$ . If the radius of the capillary tube is doubled, then the mass of water that rises in the same capillary tube will be

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Solution:

For capillary rise, $h_{1} r_{1} = h_{2} r_{2}$ $∴ \frac{h _{2}}{h _{1}} = \frac{r _{1}}{r _{2}} = \frac{1}{2}$ And $m = π r^{2} h_{1} ρ$ and $M = p (2 r)^{2} \times h_{2} \times ρ$ $∴ \frac{M ^{'}}{M} = (\frac{2 r}{r})^{2} \times (\frac{1}{2}) = 4 \times \frac{1}{2} = 2 ∴ M = 2 m$

Stream:MHT_CETSubject:PhysicsTopic:FluidSubtopic:Surface Tension

⏱ 2mℹ️ Source: PYQ_2022

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