Question

Match List I with List II:
A. Froude Number
B. Reynolds Number
C. Euler Number
D. Weber Number
Match with the following:
I. Inertia force and pressure force
II. Inertia force and surface tension force
III. Inertia force and gravity force
IV. Inertia force and viscous force
Choose the correct answer from the options given below:

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

Hint:

Froude: gravity.
Reynolds: viscous.
Euler: pressure.
Weber: surface tension.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Dimensionless numbers relate different forces.
Each number represents a specific force ratio.

Step 2: Key Formula or Approach:
No specific formula.
Need to know the dimensionless numbers.

Step 3: Detailed Explanation:
Froude Number: Inertia force Gravity force (A-III).
Reynolds Number: Inertia force Viscous force (B-IV).
Euler Number: Inertia force Pressure force (C-I).
Weber Number: Inertia force Surface tension force (D-II).
Thus, A-III, B-IV, C-I, D-II is the correct matching.

Step 4: Final Answer:
The correct matching is A-III, B-IV, C-I, D-II.
Hence, the correct option is (C).