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Question

Physics Question on Surface tension

Find the height of liquid in capillary tube if surface tension of liquid is S, radius of capillary tube is r and acceleration due to gravity is g:

A

2Scosθρrg\frac{2S cos\,\theta}{\rho rg}

B

2Sρrgcosθ\frac{2S}{\rho rg\,cos\,\theta}

C

2Ssinθρrg\frac{2S\,sin\,\theta}{\rho rg}

D

None of these

Answer

2Scosθρrg\frac{2S cos\,\theta}{\rho rg}

Explanation

Solution

The height to which a liquid rises in a capillary tube is given by,
h=2Scosθrρgh=\frac{2S\,cos\,\theta}{r\rho g}