Question:
Match the non-dimensional numbers in Column 1 with the corresponding definitions in Column 2:
Match the non-dimensional numbers in Column 1 with the corresponding definitions in Column 2:
Show Hint
Memorize the physical significance of common non-dimensional numbers:
- Froude: gravity,
- Reynolds: viscosity,
- Euler: pressure,
- Weber: surface tension.
Updated On: Apr 25, 2025
- I – S; II – R; III – P; IV – Q
- I – Q; II – R; III – S; IV – P
- I – Q; II – R; III – P; IV – S
- I – S; II – Q; III – R; IV – P
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The Correct Option is B
Solution and Explanation
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)
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