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Question -

Mercury has an angle of contact equal to 140° with soda limeglass. A narrow tube of radius 1.00 mm made of this glass is dipped in a troughcontaining mercury. By what amount does the mercury dip down in the tuberelative to the liquid surface outside? Surface tension of mercury at thetemperature of the experiment is 0.465 N m–1. Density of mercury =13.6 × 103 kg m–3.



Answer -

Angle of contact between mercury and soda lime glass, θ =140°

Radius of the narrow tube, r = 1 mm = 1 × 10–3 m

Surface tension of mercury at the given temperature, s =0.465 N m–1

Density of mercury, ρ =13.6 × 103 kg/m3

Dip in the height of mercury = h

Acceleration due to gravity, g = 9.8 m/s2

Surface tension is related with the angle of contact and the dipin the height as:

Here, the negative sign shows the decreasing level of mercury.Hence, the mercury level dips by 5.34 mm.

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