The ratio of the square root of inertia force to surface tension force is known as:

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JKSSB JE CE 2021 Official Paper Shift 1 (Held on 27 Oct 2021)
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  1. Froude number
  2. Euler number
  3. Weber number
  4. Reyonld’s number

Answer (Detailed Solution Below)

Option 3 : Weber number
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Explanation:

Weber number

The Weber number is the ratio of dynamic pressure (i.e. inertia force) to the surface tension force. 

\({W_e} = \sqrt {\frac{{inertia\;force}}{{surface\;tension}}} = \frac{V}{{\sqrt {\sigma /\rho L} }}\)

Additional Information

Other important dimensionless numbers are described in the table below"

Reynold’s number

\(R_e=\frac{{{inertia force}}}{{{viscous force}}} = \frac{{{\bf{\rho VL}}\;}}{{\bf{\mu }}}\)

Froude Number

\({F_r} = \sqrt {\frac{{inertia\;force}}{{gravitation\;force}}} = \frac{V}{{\sqrt {{\bf{Lg}}} }}\)

Euler number

\({E_u} = \sqrt {\frac{{inertia\;force}}{{pressure\;force}}} = \frac{V}{{\sqrt {P/\rho } }}\)

Mach Number

\({M} = \sqrt {\frac{{inertia\;force}}{{Elastic\;force}}} = \frac{V}{{\sqrt {K/\rho } }}=~\frac VC \)

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