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The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3 Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2 Pa.s)
Correct answer is '100'. Can you explain this answer?
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The velocity of upper layer of water in a river is 36 kmh-1. Shearing ...
Given:
Velocity of upper layer of water in a river (u) = 36 km/h = 10 m/s
Shearing stress between horizontal layers of water (τ) = 10^-3 N/m^2
Coefficient of viscosity of water (η) = 10^-2 Pa.s
To find: Depth of the river (h)
Use the formula for shearing stress:
τ = η (du/dy)
Where, du/dy is the velocity gradient (change in velocity per unit distance perpendicular to the direction of flow)
Rearranging the formula, we get:
h = τ / (ρg) + (u^2 / 2g)
Where, ρ is the density of water and g is the acceleration due to gravity.
Calculate the first term:
τ / (ρg) = (10^-3 N/m^2) / (1000 kg/m^3 x 9.8 m/s^2) = 10^-5 m
Calculate the second term:
u^2 / 2g = (10 m/s)^2 / (2 x 9.8 m/s^2) = 5.10 m
Adding the two terms, we get:
h = 10^-5 m + 5.10 m = 100 m
Therefore, the depth of the river is 100 m.
Velocity of upper layer of water in a river (u) = 36 km/h = 10 m/s
Shearing stress between horizontal layers of water (τ) = 10^-3 N/m^2
Coefficient of viscosity of water (η) = 10^-2 Pa.s
To find: Depth of the river (h)
Use the formula for shearing stress:
τ = η (du/dy)
Where, du/dy is the velocity gradient (change in velocity per unit distance perpendicular to the direction of flow)
Rearranging the formula, we get:
h = τ / (ρg) + (u^2 / 2g)
Where, ρ is the density of water and g is the acceleration due to gravity.
Calculate the first term:
τ / (ρg) = (10^-3 N/m^2) / (1000 kg/m^3 x 9.8 m/s^2) = 10^-5 m
Calculate the second term:
u^2 / 2g = (10 m/s)^2 / (2 x 9.8 m/s^2) = 5.10 m
Adding the two terms, we get:
h = 10^-5 m + 5.10 m = 100 m
Therefore, the depth of the river is 100 m.
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The velocity of upper layer of water in a river is 36 kmh-1. Shearing ...
⇒
= 100 m
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The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. Can you explain this answer?
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The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. 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 The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. Can you explain this answer?.
The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. 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 The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of upper layer of water in a river is 36 kmh-1. Shearing stress between horizontal layers of water is 10-3Nm-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10-2Pa.s)Correct answer is '100'. Can you explain this answer?.
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