Question

Match the non-dimensional numbers in Column 1 with the corresponding definitions in Column 2:

• A. I – S; II – R; III – P; IV – Q
• B. I – Q; II – R; III – S; IV – P
• C. I – Q; II – R; III – P; IV – S
• D. I – S; II – Q; III – R; IV – P

Hint:

Memorize the physical significance of common non-dimensional numbers: - Froude: gravity, - Reynolds: viscosity, - Euler: pressure, - Weber: surface tension.

Answer 1

The Correct Option is B

We match each non-dimensional number with its physical interpretation: 
Froude number (Fr): \( Fr = \frac{{Inertial force}}{{Gravitational force}} \Rightarrow \) Matches with Q. 
Reynolds number (Re): \( Re = \frac{{Inertial force}}{{Viscous force}} \Rightarrow \) Matches with R. 
Euler number (Eu): \( Eu = \frac{{Pressure force}}{{Inertial force}} \Rightarrow \) Matches with S. 
Weber number (We): \( We = \frac{{Inertial force}}{{Surface tension force}} \Rightarrow \) Matches with P. 
Thus, the correct matching is: 
I – Q, II – R, III – S, IV – P → Option (B)