The maximum height of a siphon for a fluid of specific gravity ρ under atmospheric conditions is

  1. \(\frac{\rho }{{10\;}}\;meters\)
  2. \(\frac{{10\left( {1 + \rho } \right)}}{\rho }metres\)
  3. \(\frac{{10}}{{\left( {1 - \rho } \right)}}metres\)
  4. \(\frac{{10}}{\rho }metres\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{{10}}{\rho }metres\)
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Detailed Solution

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The General height of the siphon

\({h_B} = \frac{{{p_{atm}}}}{{ρ g}} - \frac{{V_2^2}}{{2g}}\)

ρ is the density of the fluid.

Specific gravity = ρfluidwater = ρfluid/1000

Here specific gravity is given as ρfluid =  SG × 1000 = ρ × 1000

∴ \({h_B} = \frac{{{p_{atm}}}}{{1000ρ g}} - \frac{{V_2^2}}{{2g}}\)

2 is the highest point of siphon.

For maximum height

VB = 0

patm= 1.01325 bar, g = 9.81 m/s2

pppjj\({h_B} = \frac{{{p_{atm}}}}{{1000ρ g}} = \frac{{10}}{ρ }\;meters\)

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