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PhysicsFluidSurface TensionMedium2 minPYQ_2019
PhysicsMediumsingle choice

The ratio of surface tensions of mercury and water is given to be7.5, while the ratio of their densities is13.6. Their contact angles, with glass, are close to135°and0°, respectively. If it is observed that mercury gets depressed by an amounthin a capillary tube of radiusr1, while water rises by the same amounthin a capillary tube of radiusr2, then the ratior1r2is close to

Options:

Answer:
D
Solution:

|hHg|=|hwater|

2S1cosθ1ρ1r1g=2S2cosθ2ρ2r2g

Therefore, the ratio of the radii of the respective tubes is,

r1r2=ρ2ρ1×S1cosθ1S2cosθ2

r1r2=113.6×7.5×12

r1r225

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Surface Tension
2mℹ️ Source: PYQ_2019

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