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Question

When a capillary tube is dipped in a liquid, liquid rises 0.06 m in it. Surface tension of liquid is 0.03 N/m, density of liquid is 103 kg/m3. If contact angle is 60, then radius of capillary is (Assume g=10 m/s2)

A
1 mm
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B
0.5 mm
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C
0.05 mm
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D
0.01 mm
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Solution

The correct option is C 0.05 mm
Given:
h=0.06 m,θ=60
T=0.03 N/m,ρ=103 kg/m3
g=10 m/s2
We know that,
h=2Tcosθrρg
r=2Tcosθhρg=2×0.03×cos600.06×103×10r=0.05 mm

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