Question

5. Internal radius of a capilary tube is 1/28 cm and
surface tension of water 70 dyne/cm, if angle of
contact is zero, then water will rise up in the tube
up to height.
(1) 4 cm
(2) 2 cm
(3) 14 cm
(4) 18 cm
​

Answer 1

The water will rise up in the tube  up to height 4 cm.

Explanation:

Given data:

Surface tension of water = 70 dyne/cm = 70 x 10^-3 N/m

Internal radius of a capillary tube "r" = 1/28 cm

Angle of contact "θ" = 0°

Density "ρ" = 1000 Kg / m^3

Solution:

Formula for height raised by liquid in capillary tube is given by

H =  2Scosθ / ρgr

H = 2 x 70 x 10^-3  x 0° / 1000 x 9.8 x  1/28 x 10^-2

H = 140 / 10000 x 9.81 x 0.035 = 140 / 3443

H = 0.04 m = 4 cm

Thus The water will rise up in the tube  up to height 4 cm.

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