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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 s...

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 13.6 and the angle of contact of mercury and water are 1350 and 0° respectively, then the ratio of surface tensions of water and mercury is

A

1 : 0.15

B

1 : 3

C

1 : 6.5

D

1.5 : 1

Answer

1 : 6.5

Explanation

Solution

h =

or S =

or S ∝ hρcosθ\frac { \mathrm { h } \rho } { \cos \theta }

Putting the values, we obtain

1 : 6.5

Hence, (3) is the correct choice.