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Euler’s equation in the differential form for motion of liquids is given by
A. dp/ρ − gdz + vdv = 0
B. dp/ρ + gdz − vdv = 0
C. dp/ρ + gdz + vdv = 0
D. pdp + gdz + vdv = 0
- a)Only A
- b)Only B
- c)Only C
- d)Only D
Correct answer is option 'C'. Can you explain this answer?
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Euler’s equation in the differential form for motion of liquids is gi...
The Euler’s Equation of motion in the differential form given by the following equation
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dp/ρ + gdz + vdv = 0
This equation is based on the assumption that the flow is ideal and viscous forces are zero.
The integration of Euler’s equation of motion with respect to displacement along a streamline gives the Bernoulli equation.
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Euler’s equation in the differential form for motion of liquids is gi...
Euler's equation in the differential form for the motion of liquids is given by:
dp/ρ + gdz + vdv = 0
Let's break down the equation and understand each term:
1. dp/ρ: This term represents the change in pressure (dp) divided by the density (ρ) of the liquid. It accounts for the pressure gradients in the fluid.
2. gdz: This term represents the gravitational force acting on the fluid, where g is the acceleration due to gravity and dz is the change in height or depth. It accounts for the hydrostatic pressure gradient.
3. vdv: This term represents the change in velocity (v) multiplied by the change in velocity (dv). It accounts for the acceleration or deceleration of the fluid flow.
4. = 0: This equation states that the sum of these three terms must equal zero, indicating that the forces acting on the fluid are in balance.
Now, let's compare the given options with the correct equation:
A. dp/ρ - gdz vdv = 0: This option is incorrect because the sign of the second term is wrong. It should be positive, indicating an increase in pressure with depth.
B. dp/ρ gdz - vdv = 0: This option is also incorrect because the terms are not arranged in the correct order. The correct order should be dp/ρ, gdz, and vdv.
C. dp/ρ gdz vdv = 0: This is the correct option as it correctly represents Euler's equation in the differential form for motion of liquids. The terms are arranged in the correct order and the signs are also correct.
D. pdp gdz vdv = 0: This option is incorrect because it is missing the density term (ρ) in the equation.
Therefore, the correct answer is option C.
dp/ρ + gdz + vdv = 0
Let's break down the equation and understand each term:
1. dp/ρ: This term represents the change in pressure (dp) divided by the density (ρ) of the liquid. It accounts for the pressure gradients in the fluid.
2. gdz: This term represents the gravitational force acting on the fluid, where g is the acceleration due to gravity and dz is the change in height or depth. It accounts for the hydrostatic pressure gradient.
3. vdv: This term represents the change in velocity (v) multiplied by the change in velocity (dv). It accounts for the acceleration or deceleration of the fluid flow.
4. = 0: This equation states that the sum of these three terms must equal zero, indicating that the forces acting on the fluid are in balance.
Now, let's compare the given options with the correct equation:
A. dp/ρ - gdz vdv = 0: This option is incorrect because the sign of the second term is wrong. It should be positive, indicating an increase in pressure with depth.
B. dp/ρ gdz - vdv = 0: This option is also incorrect because the terms are not arranged in the correct order. The correct order should be dp/ρ, gdz, and vdv.
C. dp/ρ gdz vdv = 0: This is the correct option as it correctly represents Euler's equation in the differential form for motion of liquids. The terms are arranged in the correct order and the signs are also correct.
D. pdp gdz vdv = 0: This option is incorrect because it is missing the density term (ρ) in the equation.
Therefore, the correct answer is option C.
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Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer?
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Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer?.
Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Euler’s equation in the differential form for motion of liquids is given byA. dp/ρ − gdz + vdv = 0B. dp/ρ + gdz − vdv = 0C. dp/ρ + gdz + vdv = 0D. pdp + gdz + vdv = 0a)Only Ab)Only Bc)Only Cd)Only DCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
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