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Question

Water rises to a height of 10cm in a capillary tube and mercury falls to a depth of 3.42 cm in the same capillary tube. If the density of mercury is 13.6g/cc and the angle of contact of mercury and water are 135o and 0o respectively, the ratio of surface tension of water and mercury is



A

1 : 0.15 

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B

1 : 3

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C

1 : 6.5

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D

1.5 : 1

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Solution

The correct option is B

1 : 6.5


h=2Scosθrρg
ors=hrρg2cosθ
ors αhρcosθ
SwSHg=h1h2×cosθ2cosθ1×ρ1ρ2
Putting the values, we obtain 1:6.5
Hence, (C) is correct.


Physics

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