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Assertion (A): Bernoulli's equation is an energy equation.  
Reason (R): Starting from Euler's equation, one can arrive at Bernoulli's equation.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Assertion (A): Bernoulli's equation is an energy equation.Reason (...
Ans. (b) Starting from Euler's equation, one can arrive at Bernoulli's equation. And
we know that Euler equation is a momentum equation and integrating Euler
equation we can arrive at Bernoulli’s equation.
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Most Upvoted Answer
Assertion (A): Bernoulli's equation is an energy equation.Reason (...
Bernoulli's Equation as an Energy Equation

Explanation:

Bernoulli's equation is a fundamental equation in fluid dynamics, which relates the pressure, velocity, and height of a fluid. It is derived from the conservation of energy and is considered as an energy equation.

Euler's Equation

Euler's equation is a fundamental equation in fluid dynamics, which relates the pressure, velocity, and acceleration of a fluid. It is derived from the Navier-Stokes equations and is considered as a momentum equation.

Relation between Euler's Equation and Bernoulli's Equation

The Bernoulli's equation can be derived from the Euler's equation by making certain assumptions such as:

- The fluid is incompressible and inviscid
- The flow is steady and laminar
- The velocity at any point in the fluid is always parallel to the direction of flow
- The fluid is flowing along a streamline

Thus, Bernoulli's equation is a simplified form of Euler's equation under certain conditions.

Conclusion:

Hence, both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
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Assertion (A): Bernoulli's equation is an energy equation.Reason (R): Starting from Euler's equation, one can arrive at Bernoulli's equation.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
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