Question

The height of a mercury column in a barometer at a place is $74cm$. If a liquid of density $5.44gc{m}^{-3}$ is used then find the height of the liquid column.

Answer 1

Let the pressure be P, so pressure P will be same for both liquid.

Now $P={\rho }_{mercury}gh$, here h is given as 74 cm

For other liquid $P={\rho }_{liquid}gH$, H is height of liquid column.

Now equating both equations,

$P={\rho }_{mercury}gh={\rho }_{liquid}gH$

$13.6\times 74=5.44\times H$

$H=185cm$