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Question

A capillary tube made of glass of radius 0.15mm is dipped vertically in a beaker filled with methylene iodide (surface tension =0.05Nm-1, density =667kgm-3) which rises to height h in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of 60° with one another. Then h is close to (g=10ms-2).


A

0.172m

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B

0.049m

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C

0.087m

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D

0.137m

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Solution

The correct option is C

0.087m


Step 1. Given data

Radius of the tube, r=0.15mm

Surface tension, T=0.05Nm-1

Density, ρ=667kgm-3

Step 2. Finding the height, h

By using the formula,

h=2Tcosθρgr [g=10ms-2] [θ is angle of contact and it will be half of the angle60°]

h=2×0.05×cos30°667×10×0.15×10-3

h=0.087m

Hence, the correct option is C.


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