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Mechanical Properties Of Fluids

Question

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What height of water column produces the same pressure as 50 cm of Hg column?

Solution

The pressure due to height column, P = ρgh

If the pressure due to height column of different liquids is same, then the relation between the height coulumn is given by,

$ρ_{1} {gh}_{1} = ρ_{2} {gh}_{2} \Rightarrow h_{2} = \frac{ρ_{1}}{ρ_{2}} h_{1} = \frac{13.6}{1} \times 50 = 680 cm = 6.80 m$ ,
is the required height of the water column which will produce the same pressure as 50 cm of Hg column.

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