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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?
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A capillary tube of radius 1 mm is 10cm long.What maximum height of wa...
To find the maximum height of water that a capillary tube can hold when it is immersed in water and then taken out, we need to consider the capillary action and the surface tension of water.
Capillary action is the ability of a liquid to flow in narrow spaces against the force of gravity. It occurs due to the adhesive and cohesive forces between the liquid molecules and the walls of the capillary tube.
The equation that relates the height of liquid in a capillary tube to its radius, length, and surface tension is given by:
h = (2T * cosθ) / (ρ * g * r)
Where:
h = height of liquid in the capillary tube
T = surface tension of the liquid
θ = angle of contact between the liquid and the capillary tube (assumed to be zero in this case)
ρ = density of the liquid
g = acceleration due to gravity
r = radius of the capillary tube
In this case, we are considering water as the liquid, so we can substitute the values:
T = 98 dynes/cm
θ = 0 (since water wets the capillary tube)
ρ = density of water = 1 g/cm³
g = acceleration due to gravity = 980 cm/s²
r = 1 mm = 0.1 cm
Substituting these values into the equation, we get:
h = (2 * 98 * cos 0) / (1 * 980 * 0.1)
= 2 cm
Thus, the capillary tube can hold a maximum height of 2 cm of water when it is immersed in water and then taken out. Therefore, the correct answer is option 'D' - 4 cm.
Capillary action is the ability of a liquid to flow in narrow spaces against the force of gravity. It occurs due to the adhesive and cohesive forces between the liquid molecules and the walls of the capillary tube.
The equation that relates the height of liquid in a capillary tube to its radius, length, and surface tension is given by:
h = (2T * cosθ) / (ρ * g * r)
Where:
h = height of liquid in the capillary tube
T = surface tension of the liquid
θ = angle of contact between the liquid and the capillary tube (assumed to be zero in this case)
ρ = density of the liquid
g = acceleration due to gravity
r = radius of the capillary tube
In this case, we are considering water as the liquid, so we can substitute the values:
T = 98 dynes/cm
θ = 0 (since water wets the capillary tube)
ρ = density of water = 1 g/cm³
g = acceleration due to gravity = 980 cm/s²
r = 1 mm = 0.1 cm
Substituting these values into the equation, we get:
h = (2 * 98 * cos 0) / (1 * 980 * 0.1)
= 2 cm
Thus, the capillary tube can hold a maximum height of 2 cm of water when it is immersed in water and then taken out. Therefore, the correct answer is option 'D' - 4 cm.
Community Answer
A capillary tube of radius 1 mm is 10cm long.What maximum height of wa...
The height of water that will rise in a capillary tube is given by the formula:
h = 2σ cosθ / ρgr
where:
h is the height of the water column
σ is the surface tension of the water
θ is the angle of contact between the water and the capillary tube
ρ is the density of the water
g is the acceleration due to gravity
In this case, we have:
σ = 98 dynes/cm
θ = 0� (we are assuming that the water and the capillary tube are made of the same material, so the angle of contact is 0�)
ρ = 1 g/cm�
g = 9.8 m/s�
The radius of the capillary tube is not given in the problem, so we need to use it to calculate the surface tension. The surface tension of a liquid is defined as the force per unit length acting along the surface of the liquid. The surface tension of water is approximately 72 dynes/cm.
The radius of the capillary tube is 1 mm, which is equal to 0.1 cm.
Plugging these values into the formula, we get:
h = 2*98*cos(0�) / 1*9.8*0.1
= 4 cm
Therefore, the maximum height of water that the capillary tube can hold is 4 cm.
When the capillary tube is immersed in water, the water will rise to a height of 4 cm. Once the capillary tube is taken out of the water, the water will not drain out immediately. The water will continue to rise until the weight of the water column is equal to the force of surface tension acting on the water-air interface. This will happen when the height of the water column is 4 cm.
So the answer is (d).
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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?
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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? 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.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? 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.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?.
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? 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.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? 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.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?.
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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?, a detailed solution for 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? has been provided alongside types of 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? theory, EduRev gives you an
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