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If diameter of the capillary tube (d), surface tension force for unit length (σ) and weight density (w), then the capillary rise of water in the glass tube (h) will be given by:

(Consider angle of contact between water and the glass tube is zero)

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  1. h = 2σ/wd
  2. h = 3σ/wd
  3. h = 4σ/wd
  4. h = 6σ/wd

Answer (Detailed Solution Below)

Option 3 : h = 4σ/wd
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Detailed Solution

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Concept:

The height of capillary rise is given by:

Where,

σ = Surface tension of fluid at 20°C

ρ = Density of fluid (kg/m3)

d = Diameter of the glass tube

h = height of capillary rise/fall

Calculation:

w = ρg, θ  = 0°

⇒  

⇒ h = 4σ/wd

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