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The capillary rise in a 3 mm tube immersed in
a liquid is 15 mm. If another tube of dia 4 mm
is immersed in the same liquid the capillary
rise would be (in mm)
(a) 11.25 (b) 20.00
? Related: Fluid Properties
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The capillary rise in a 3 mm tube immersed in
a liquid is 15 mm. If a...
Capillary Rise in Different Tubes
Formula for Capillary Rise
The capillary rise is the height to which a liquid rises in a small diameter tube, due to the surface tension and the adhesion of the liquid to the tube's wall. The formula for capillary rise is given by:
h = (2T cosθ) / (ρgR)
where h is the capillary rise, T is the surface tension of the liquid, θ is the angle of contact between the liquid and the tube's wall, ρ is the density of the liquid, g is the acceleration due to gravity, and R is the radius of the tube.
Solution
Given, the capillary rise in a 3 mm tube immersed in a liquid is 15 mm. Let us assume the surface tension and the angle of contact between the liquid and the tube's wall are constant.
Therefore, we can use the formula for capillary rise to find the capillary rise in a 4 mm tube:
h' = (2T cosθ) / (ρgR')
where h' is the capillary rise in the 4 mm tube, and R' is the radius of the 4 mm tube.
As the density and acceleration due to gravity are constant, we can write:
h' / R' = h / R
Therefore, we can find the capillary rise in the 4 mm tube as:
h' = (hR') / R
Substituting the given values, we get:
h' = (15 x 2) / 3 = 10 mm
The capillary rise in the 4 mm tube immersed in the same liquid would be 10 mm.
Answer: (b) 20.00
Formula for Capillary Rise
The capillary rise is the height to which a liquid rises in a small diameter tube, due to the surface tension and the adhesion of the liquid to the tube's wall. The formula for capillary rise is given by:
h = (2T cosθ) / (ρgR)
where h is the capillary rise, T is the surface tension of the liquid, θ is the angle of contact between the liquid and the tube's wall, ρ is the density of the liquid, g is the acceleration due to gravity, and R is the radius of the tube.
Solution
Given, the capillary rise in a 3 mm tube immersed in a liquid is 15 mm. Let us assume the surface tension and the angle of contact between the liquid and the tube's wall are constant.
Therefore, we can use the formula for capillary rise to find the capillary rise in a 4 mm tube:
h' = (2T cosθ) / (ρgR')
where h' is the capillary rise in the 4 mm tube, and R' is the radius of the 4 mm tube.
As the density and acceleration due to gravity are constant, we can write:
h' / R' = h / R
Therefore, we can find the capillary rise in the 4 mm tube as:
h' = (hR') / R
Substituting the given values, we get:
h' = (15 x 2) / 3 = 10 mm
The capillary rise in the 4 mm tube immersed in the same liquid would be 10 mm.
Answer: (b) 20.00
Community Answer
The capillary rise in a 3 mm tube immersed in
a liquid is 15 mm. If a...
H1/H2 =R2/R1
15/x = 4/3
4x = 45
x = 45/4
x = 11.25mm
15/x = 4/3
4x = 45
x = 45/4
x = 11.25mm
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The capillary rise in a 3 mm tube immersed in
a liquid is 15 mm. If another tube of dia 4 mm
is immersed in the same liquid the capillary
rise would be (in mm)
(a) 11.25 (b) 20.00 Related: Fluid Properties?
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The capillary rise in a 3 mm tube immersed in a liquid is 15 mm. If another tube of dia 4 mm is immersed in the same liquid the capillary rise would be (in mm) (a) 11.25 (b) 20.00 Related: Fluid Properties? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The capillary rise in a 3 mm tube immersed in a liquid is 15 mm. If another tube of dia 4 mm is immersed in the same liquid the capillary rise would be (in mm) (a) 11.25 (b) 20.00 Related: Fluid Properties? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The capillary rise in a 3 mm tube immersed in a liquid is 15 mm. If another tube of dia 4 mm is immersed in the same liquid the capillary rise would be (in mm) (a) 11.25 (b) 20.00 Related: Fluid Properties?.
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(a) 11.25 (b) 20.00 Related: Fluid Properties? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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