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Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mu m) of xylem tube in a 10m high coconut tree so that water can rise to the top.
(Surface tension of water = 0.1N/m Angle of contact of water with xylem tube = 60°)
(Surface tension of water = 0.1N/m Angle of contact of water with xylem tube = 60°)
Correct answer is '1'. Can you explain this answer?
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Assuming the xylem tissues through which water rises from root to the ...
To find the maximum radius of the xylem tube, we can use the formula for the maximum height water can rise in a capillary tube:
h = (2Tcosθ)/(ρgr)
Where:
h = maximum height water can rise
T = surface tension of water
θ = angle of contact of water with xylem tube
ρ = density of water
g = acceleration due to gravity
r = radius of the xylem tube
We are given:
h = 10m
T = 0.1N/m
θ = 60 degrees
ρ = 1000kg/m^3
g = 9.8m/s^2
Converting the angle to radians:
θ = 60 * (π/180) = π/3
Substituting the given values into the formula:
10 = (2 * 0.1 * cos(π/3))/(1000 * 9.8 * r)
Simplifying and solving for r:
10 = (0.2 * 0.5)/(9800r)
10 = 0.1/(9800r)
r = 0.1/(10 * 9800)
r = 0.1/98000
r = 0.00000102 m
Converting the radius to micrometers:
0.00000102 m * 10^6 μm/m = 1.02 μm
Therefore, the maximum radius of the xylem tube in the coconut tree should be approximately 1.02 μm.
h = (2Tcosθ)/(ρgr)
Where:
h = maximum height water can rise
T = surface tension of water
θ = angle of contact of water with xylem tube
ρ = density of water
g = acceleration due to gravity
r = radius of the xylem tube
We are given:
h = 10m
T = 0.1N/m
θ = 60 degrees
ρ = 1000kg/m^3
g = 9.8m/s^2
Converting the angle to radians:
θ = 60 * (π/180) = π/3
Substituting the given values into the formula:
10 = (2 * 0.1 * cos(π/3))/(1000 * 9.8 * r)
Simplifying and solving for r:
10 = (0.2 * 0.5)/(9800r)
10 = 0.1/(9800r)
r = 0.1/(10 * 9800)
r = 0.1/98000
r = 0.00000102 m
Converting the radius to micrometers:
0.00000102 m * 10^6 μm/m = 1.02 μm
Therefore, the maximum radius of the xylem tube in the coconut tree should be approximately 1.02 μm.
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Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer?
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Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer?.
Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer?.
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Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer?, a detailed solution for Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? has been provided alongside types of Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mum) of xylem tube in a 10mhigh coconut tree so that water can rise to the top.(Surface tension of water= 0.1N/m Angle of contact of water with xylem tube= 60°)Correct answer is '1'. Can you explain this answer? theory, EduRev gives you an
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