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Question

A liquid rises to a height of 50 cm in a capillary tube of diameter 0.04 mm. if density of a liquid is 0.08×103kg/m2, angle of contact is 20 degrees, the surface tension of the liquid is :

A
4.17N/m
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B
0.417N/m
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C
4.17×102N/m
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D
4.17×103N/m
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Solution

The correct option is D 4.17×103N/m
Given,
h=50cm=0.5m
d=0.04mm, r=0.02×102m
g=9.8m/s2
ρ=0.08×103kg/m3
θ=200
The height of the capillary tube,
h=2Tcosθrρg
T=hrρg2cosθ
T=0.50×0.02×103×0.08×103×9.82×cos200
T=4.17×103N/m
The correct option is D..

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