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In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1
Correct answer is '6'. Can you explain this answer?
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In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a ver...
Calculation of Capillary Rise in Vertical and Inclined Capillary Tube
Given parameters are as follows:
- Length of the capillary tube = 20 cm
- Diameter of the capillary tube (bore diameter) = 1 mm = 0.1 cm
- Diameter of the glass rod = 0.5 mm = 0.05 cm
- Angle of contact with glass = 0°
- Surface tension of water = 0.075 N m−1
We need to calculate the difference in capillary raise when the tube is vertical and inclined at 30° to the horizontal.
Formula Used:
The capillary rise (h) in a tube is given by the formula:
h = (2T cosθ) / (ρg r)
where T is the surface tension of the liquid, θ is the angle of contact between the liquid and the tube, ρ is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the capillary tube.
Calculation:
Radius of the capillary tube, r = 0.1/2 = 0.05 cm
Radius of the glass rod, R = 0.05/2 = 0.025 cm
The effective radius of the capillary tube is given by:
r' = r - R = 0.05 - 0.025 = 0.025 cm
For a vertical capillary tube,
θ = 0°
h1 = (2T cosθ) / (ρg r')
h1 = (2 × 0.075 × 1) / (1000 × 9.8 × 0.025)
h1 = 0.61 cm
For an inclined capillary tube at 30° to the horizontal,
θ = 30°
h2 = (2T cosθ) / (ρg r')
h2 = (2 × 0.075 × cos30) / (1000 × 9.8 × 0.025)
h2 = 0.67 cm
Difference in capillary raise = h2 - h1
Difference in capillary raise = 0.67 - 0.61
Difference in capillary raise = 0.06 cm
Therefore, the difference in capillary raise when the tube is vertical and inclined at 30° to the horizontal is 0.06 cm or 6 mm.
Given parameters are as follows:
- Length of the capillary tube = 20 cm
- Diameter of the capillary tube (bore diameter) = 1 mm = 0.1 cm
- Diameter of the glass rod = 0.5 mm = 0.05 cm
- Angle of contact with glass = 0°
- Surface tension of water = 0.075 N m−1
We need to calculate the difference in capillary raise when the tube is vertical and inclined at 30° to the horizontal.
Formula Used:
The capillary rise (h) in a tube is given by the formula:
h = (2T cosθ) / (ρg r)
where T is the surface tension of the liquid, θ is the angle of contact between the liquid and the tube, ρ is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the capillary tube.
Calculation:
Radius of the capillary tube, r = 0.1/2 = 0.05 cm
Radius of the glass rod, R = 0.05/2 = 0.025 cm
The effective radius of the capillary tube is given by:
r' = r - R = 0.05 - 0.025 = 0.025 cm
For a vertical capillary tube,
θ = 0°
h1 = (2T cosθ) / (ρg r')
h1 = (2 × 0.075 × 1) / (1000 × 9.8 × 0.025)
h1 = 0.61 cm
For an inclined capillary tube at 30° to the horizontal,
θ = 30°
h2 = (2T cosθ) / (ρg r')
h2 = (2 × 0.075 × cos30) / (1000 × 9.8 × 0.025)
h2 = 0.67 cm
Difference in capillary raise = h2 - h1
Difference in capillary raise = 0.67 - 0.61
Difference in capillary raise = 0.06 cm
Therefore, the difference in capillary raise when the tube is vertical and inclined at 30° to the horizontal is 0.06 cm or 6 mm.
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Community Answer
In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a ver...
For capillary raise,
⇒ h = 6 cm
and at 30°,
∴ difference, Δℓ = 6 cm
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In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer?
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In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer?.
In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer?.
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In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer?, a detailed solution for In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? has been provided alongside types of In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m−1Correct answer is '6'. Can you explain this answer? theory, EduRev gives you an
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