GATE Mechanical Engineering (ME) 2012 Solved Paper

Question : 39 of 65

Marks: +1, -0

A large tank with a nozzle attached contains three immiscible inviscid fluids as shown. Assuming that the changes in h₁, h₂ and h₃ are negligible, the instantaneous discharge velocity is:

$√{2gh_{3} (1 + \;{ρ\;_{1}h_{1}}/{ρ\;_{3}h_{3}} + \;{ρ\;_{2}h_{2}}/{ρ\;_{3}h_{3}}) }$
$√{2g (h_{1} + h_{2} + h_{3}) }$
$√{2g (\;{ρ\;_{1}h_{1}\;+\;ρ\;_{2}h_{2}\;+\;ρ\;_{3}h_{3}}/{ρ\;_{1} + ρ _{2} + ρ _{3}}) }$
$\:√{2g (\;{ρ\;_{1}h_{2}h_{3}\;+\;ρ\;_{2}h_{3}h_{1}\;+\;ρ\;_{3}h_{1}h_{2}}/{ρ\;_{1}h_{1} + ρ _{2}h_{2} + ρ _{3}h_{3}}) }$

Validate

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