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 If a glass tube of 10 mm diameter is immersed in water, what will be the rise or fall in capillary?
(Take surface tension = 0.075 N/m, g = 10 m/s2 and angle of contact = 0) 
  • a)
    0.75
  • b)
    1.5
  • c)
    3
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If a glass tube of 10 mm diameter is immersed in water, what will be t...

where h = rise in liquid height in the tube, S = surface tension, θ = the angle of contact, d = diameter of the tube, ρ = density of liquid and g = acceleration due to gravity. Substituting all the values,
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Most Upvoted Answer
If a glass tube of 10 mm diameter is immersed in water, what will be t...
Given data:
Diameter of glass tube = 10 mm
Surface tension of water = 0.075 N/m
Acceleration due to gravity = 10 m/s^2
Angle of contact = 0 (as water wets the glass)

We know that the rise or fall in capillary can be calculated using the formula:

h = (2T cosθ)/(ρgr)

Where,
h = Rise or fall in capillary
T = Surface tension of water
θ = Angle of contact
ρ = Density of water
g = Acceleration due to gravity
r = Radius of the glass tube

Here, the glass tube is immersed in water. Hence, the density of water can be considered as the density of the fluid.

So, substituting the given values in the formula, we get:

h = (2 x 0.075 x cos0)/(1000 x 10 x 0.005)
h = 3 mm

Therefore, the rise or fall in capillary is 3 mm. Hence, the correct option is C.
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