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Assertion: Bernoulli's equation hold for...

Assertion: Bernoulli's equation hold for non-steady or turbulent flows.
Reason: In these situations, velocity and pressure are constant with time.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true and reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we will break down the concepts related to Bernoulli's equation and the nature of fluid flow. ### Step-by-Step Solution: 1. **Understanding Bernoulli's Equation**: - Bernoulli's equation applies to incompressible, non-viscous fluids in steady flow. It relates the pressure, velocity, and height at two points in a fluid flow. 2. **Assertion Analysis**: - The assertion states: "Bernoulli's equation holds for non-steady or turbulent flows." - This is **false**. Bernoulli's equation is primarily applicable to steady, laminar flows. In turbulent flows, the assumptions of constant velocity and pressure do not hold, and the equation cannot be directly applied. 3. **Reason Analysis**: - The reason states: "In these situations, velocity and pressure are constant with time." - This is also **false**. In turbulent flows, both velocity and pressure fluctuate and are not constant over time. Therefore, this reason does not support the assertion. 4. **Conclusion**: - Since both the assertion and the reason are false, the correct answer is that both the assertion and reason are incorrect. ### Final Answer: Both the assertion and the reason are false.
To analyze the given assertion and reason, we will break down the concepts related to Bernoulli's equation and the nature of fluid flow. ### Step-by-Step Solution: 1. **Understanding Bernoulli's Equation**: - Bernoulli's equation applies to incompressible, non-viscous fluids in steady flow. It relates the pressure, velocity, and height at two points in a fluid flow. 2. **Assertion Analysis**: ...
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