Radius of Capillary Tube – Rankers Physics
Topic: Solid and Fluids
Subtopic: Surface Tension and Viscosity

Radius of Capillary Tube

Water rises to a height of 4 cm in a capillary tube. If surface tension of water is 60 dyne/cm, then radius of capillary tube is:
3 cm
0.03 cm
6 cm
0.06 cm

Solution:

Using capillary rise formula \(h = \frac{2T \cos\theta}{r \rho g}\) with \(\theta = 0^\circ\) in CGS: \(4 = \frac{2 \times 60 \times 1}{r \times 1 \times 1000} ⇒ r = 0.03\text{ cm}\).

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