Answer :
The diameter of a capillary tube is 2.5135m
What is capillary tube?
Capillary tubes are those with very small diameters (narrow cylindrical tubes). When these small tubes are immersed in a liquid, the liquid in the capillary either rises (or lowers) relative to the surrounding liquid level. This phenomenon is known as capillary action, and such tubes are known as capillary tubes.
Rise in capillary is given by
h = [tex]\frac{2\times \sigma \times cos\theta}{\rho \times r\times g}[/tex]
σ = surface tension
ρ = density of liquid
r = inner radius
h = height
θ = contact angle made by the liquid meniscus with the capillary’s surface.
Given,
h = 1.21 cm
σ = 540 × 10 N/m
θ = 140°
ρ = 13.6 × 10³ Km
Substituting the value in equation,
h = [tex]\frac{2\times \sigma \times cos\theta}{\rho \times r\times g}[/tex]
r = [tex]\frac{2\times 540\times10\times cos140}{13.6\times10^3\times1.21\times10^-^2\times10}[/tex]
r = 50.27 × 10⁻¹m
d = 2.5135m
The diameter of a capillary tube is 2.5135 m.
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