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A capillary tube of radius 1 mm is 10cm long. What
maximum height of water it can hold if it is immersed
in water upto 5cm and then taken out of it ? (Surface
Tension of water = 98 dynes/cm)
- a)2 mm
- b)2 cm
- c)4 mm
- d)4 cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of wa...
h = 2T/rdg
h = (2*98)/(0.005*1000*10)
= 196/50
= 3.92 cm
that is approximately equal to 4 cm.
h = (2*98)/(0.005*1000*10)
= 196/50
= 3.92 cm
that is approximately equal to 4 cm.
Community Answer
A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of wa...
**Given Data:**
- Radius of capillary tube, r = 1 mm = 0.1 cm
- Length of capillary tube, L = 10 cm
- Height of water immersed, h1 = 5 cm
- Surface tension of water, γ = 98 dynes/cm
**To find:**
The maximum height of water that the capillary tube can hold when taken out of the water.
**Assumptions:**
- The water rises in the capillary tube due to capillary action.
- The water column in the capillary tube is in equilibrium with the atmospheric pressure.
**Formula Used:**
The height of the liquid column in a capillary tube is given by the equation:
h = (2γcosθ)/(ρgr)
Where:
- h is the height of the liquid column
- γ is the surface tension of the liquid
- θ is the angle of contact between the liquid and the capillary wall
- ρ is the density of the liquid
- g is the acceleration due to gravity
- r is the radius of the capillary tube
**Solution:**
1. We are given the surface tension of water, γ = 98 dynes/cm.
2. We know that water rises in a capillary tube due to capillary action.
3. When the capillary tube is immersed in water, the water rises to a certain height due to the adhesive forces between the water molecules and the capillary wall.
4. The angle of contact between water and the capillary wall is nearly 0°.
5. Substituting the given values in the formula, we get:
h = (2γcosθ)/(ρgr)
6. Since the angle of contact is 0°, cosθ = 1.
7. The density of water, ρ = 1 g/cm³.
8. The acceleration due to gravity, g = 980 cm/s².
9. The radius of the capillary tube, r = 0.1 cm.
10. Substituting the values in the formula:
h = (2 × 98 × 1)/(1 × 980 × 0.1)
= 2 cm
**Therefore, the maximum height of water that the capillary tube can hold when taken out of the water is 2 cm. Hence, option D is the correct answer.**
- Radius of capillary tube, r = 1 mm = 0.1 cm
- Length of capillary tube, L = 10 cm
- Height of water immersed, h1 = 5 cm
- Surface tension of water, γ = 98 dynes/cm
**To find:**
The maximum height of water that the capillary tube can hold when taken out of the water.
**Assumptions:**
- The water rises in the capillary tube due to capillary action.
- The water column in the capillary tube is in equilibrium with the atmospheric pressure.
**Formula Used:**
The height of the liquid column in a capillary tube is given by the equation:
h = (2γcosθ)/(ρgr)
Where:
- h is the height of the liquid column
- γ is the surface tension of the liquid
- θ is the angle of contact between the liquid and the capillary wall
- ρ is the density of the liquid
- g is the acceleration due to gravity
- r is the radius of the capillary tube
**Solution:**
1. We are given the surface tension of water, γ = 98 dynes/cm.
2. We know that water rises in a capillary tube due to capillary action.
3. When the capillary tube is immersed in water, the water rises to a certain height due to the adhesive forces between the water molecules and the capillary wall.
4. The angle of contact between water and the capillary wall is nearly 0°.
5. Substituting the given values in the formula, we get:
h = (2γcosθ)/(ρgr)
6. Since the angle of contact is 0°, cosθ = 1.
7. The density of water, ρ = 1 g/cm³.
8. The acceleration due to gravity, g = 980 cm/s².
9. The radius of the capillary tube, r = 0.1 cm.
10. Substituting the values in the formula:
h = (2 × 98 × 1)/(1 × 980 × 0.1)
= 2 cm
**Therefore, the maximum height of water that the capillary tube can hold when taken out of the water is 2 cm. Hence, option D is the correct answer.**
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A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer?
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A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer?.
A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer?.
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A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A capillary tube of radius 1 mm is 10cm long. Whatmaximum height of water it can hold if it is immersedin water upto 5cm and then taken out of it ? (SurfaceTension of water = 98 dynes/cm)a)2 mmb)2 cmc)4 mmd)4 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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