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Assertion: The flow is turbulent for Rey...

Assertion: The flow is turbulent for Reynolds number greater than `2000`
Reason: Turbulence dissipates kinetic energy in the form of heat.

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

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "The flow is turbulent for Reynolds number greater than 2000." - The Reynolds number (Re) is a dimensionless quantity used to predict flow patterns in different fluid flow situations. - A Reynolds number greater than 2000 typically indicates that the flow is turbulent. Therefore, this assertion is **true**. ### Step 2: Understand the Reason The reason states that "Turbulence dissipates kinetic energy in the form of heat." - Turbulent flow is characterized by chaotic and irregular fluid motion, which leads to energy dissipation due to friction and viscosity within the fluid layers. - This dissipation of kinetic energy can indeed result in the conversion of kinetic energy into thermal energy (heat). Thus, this reason is also **true**. ### Step 3: Analyze the Relationship Between Assertion and Reason Now we need to determine if the reason correctly explains the assertion. - While both the assertion and reason are true, the reason does not directly explain why the flow becomes turbulent at a Reynolds number greater than 2000. The assertion is based on empirical observations and definitions, while the reason describes a consequence of turbulence rather than the cause of it. ### Conclusion Since both the assertion and the reason are true, but the reason does not explain the assertion, the correct answer is **Option B**: Both the assertion and reason are true, but the reason does not explain the assertion. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "The flow is turbulent for Reynolds number greater than 2000." - The Reynolds number (Re) is a dimensionless quantity used to predict flow patterns in different fluid flow situations. - A Reynolds number greater than 2000 typically indicates that the flow is turbulent. Therefore, this assertion is **true**. ### Step 2: Understand the Reason ...
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