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Question

Water rises to a height of 10 cm in a capillary tube and mercury falls to a depth of 2 cm in the same capillary tube. If the density of mercury is 14 g/cm3 and angle of contact is 135, the ratio of surface tension for water and mercury is (Angle of contact for water and glass is 0).

A
2:1
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B
1:2
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C
5:14
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D
14:5
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Solution

The correct option is C 5:14
We know,
Rise in height of capillary tube
h=2Tcosθrρg
T=hρrg2cosθ
For water:
T1=rg×102cos0=5rg
For mercury:
T2=rg×(2)×142cos135=14rg

T1T2=514

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