Question

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. Real fluid B. Turbulent flow C. Incompressible fluid D. Steady flow	I. Reynolds number > 4000 II. Constant density III. Constant velocity with time IV. Bernoulli's equation

Choose the correct answer from the options given below:

• A. A-IV, B-I, C-II, D-III
• B. A-I, B-V, C-II, D-I
• C. A-II, B-III, C-I, D-IV
• D. A-III, B-I, C-IV, D-I

Hint:

Important facts: \[ \boxed{ Re > 4000 \Rightarrow \text{Turbulent flow} } \] \[ \boxed{ \text{Incompressible fluid} \Rightarrow \rho = \text{constant} } \] \[ \boxed{ \text{Steady flow} \Rightarrow \text{Velocity does not change with time} } \]

Answer 1

The Correct Option is A

Concept: Matching questions test conceptual understanding of fluid mechanics terminology. We analyze each term individually and match it with the most suitable description.

Step 1: Matching Real Fluid. A real fluid possesses:
• Viscosity
• Frictional effects Bernoulli’s equation is modified for real fluids due to energy loss. Thus: \[ \boxed{ \text{A} \rightarrow \text{IV} } \]

Step 2: Matching Turbulent Flow. Turbulent flow occurs when Reynolds number exceeds critical value. Condition: \[ Re > 4000 \] Hence: \[ \boxed{ \text{B} \rightarrow \text{I} } \]

Step 3: Matching Incompressible Fluid. In incompressible fluids: \[ \boxed{ \text{Density remains constant} } \] Therefore: \[ \boxed{ \text{C} \rightarrow \text{II} } \]

Step 4: Matching Steady Flow. In steady flow:
• Fluid properties do not change with time
• Velocity at a point remains constant Hence: \[ \boxed{ \text{D} \rightarrow \text{III} } \]

Step 5: Writing final matching. Thus the correct matching becomes: \[ \boxed{ A-IV,\ B-I,\ C-II,\ D-III } \]

Step 6: Checking options carefully. Option (A): Correct matching. \[ \boxed{ \text{Option (A) is correct} } \] Option (B): Incorrect. \[ \boxed{ \text{Option (B) is incorrect} } \] Option (C): Incorrect matching. \[ \boxed{ \text{Option (C) is incorrect} } \] Option (D): Incorrect matching. \[ \boxed{ \text{Option (D) is incorrect} } \] Final Conclusion: Correct matching is: \[ \boxed{ A-IV,\ B-I,\ C-II,\ D-III } \] Hence the correct answer is: \[ \boxed{ (A) } \]