A wide vessel with a small hole at the bottom is filled with two liquids. The density and height of one liquid are ρ 1 and h 1 and that of the other are ρ 2 and h 2 ( ρ 1 ρ 2 ) . The vel

Question

A wide vessel with a small hole at the bottom is filled with two liquids. The density and height of one liquid are $ρ_{1}$ and $h_{1}$ and that of the other are $ρ_{2}$ and $h_{2} (ρ_{1} > ρ_{2})$ . The velocity of liquid coming out of the hole is :

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Answer:

C

Solution:

$P_{0} + h_{1} ρ_{1} g + h_{2} ρ_{2} g + 0 = P_{0} + \frac{1}{2} ρ_{1} v^{2} v = 2 g (h_{1} + \frac{h _{2} ρ _{2}}{ρ _{1}})$

TestHub · Accepted Answer

​ P 0 ​ + h 1 ​ ρ 1 ​ g + h 2 ​ ρ 2 ​ g + 0 = P 0 ​ + 2 1 ​ ρ 1 ​ v 2 ​ v = 2 g ( h 1 ​ + ρ 1 ​ h 2 ​ ρ 2 ​ ​ ) ​ ​

Physics - Fluid Question with Solution | TestHub

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