Question

If water be used to construct a barometer, what would be the height of water column at standard atmospheric pressure (76 cm of mercury) ?

Answer 1

The pressure will be same whether the mercury is used or water is use$,$ there is only a difference in density of liquid and height of Fluid$.$

For mercury$,$ height is $76cm.$

$\therefore pressure=hpg$

$=76\times 13.6\times g$

where $13.6g/c{m}^2$ is the density of mercury$.$

Now$,$ let the height of the water column be $h$ m$.$

$\therefore p=h\times pg,$ where density of water is $1g/c{m}^2.$

$\therefore h\times 1=76\times 13.6$

$\Rightarrow h=1033.6cm.$

$\therefore h=10.336m.$

We get$,$ $h=10.336m.$