Question

calculate the height of a water column which wil exert on its base teh same pressure as the 70 cm column of mercury. Density of mercury is 13.6 g/cm³.
Plz .explanation Best i will mark as brainliest.
30 points.​

Answer 1

Hydrostatic Pressure of a Liquid Column

The pressure exerted by a liquid in a column at the base depends only on the height of the liquid in the column.

It does not depend on the cross-sectional area or the shape of the column. Just the Height.

This Hydrostatic Pressure of a liquid of density $\rho$ with a height $h$ in a column is given by:

$\large\boxed{P = \rho gh}$

Here, $g$ is the acceleration due to gravity.

$\rule{300}{1}$

Here, in the Question, we have two liquids: Mercury and Water. They are in two different columns. We need the height of the water in its column.

The Pressure exerted by both liquids at the base is the same. So, we can equate them to find height of water in the column.

Mercury

$\rho_1 = 13.6\ g/cm^3 \\ \\ h_1 = 70\ cm$

Water

$\rho_2 = 1\ g/cm^3 \\ \\ h_2 = ?\ cm$

Equating the Pressures, we have:

$P_1 = P_2 \\\\\\ \implies \rho_1 \cancel{g} h_1 = \rho_2 \cancel{g}h_2 \\\\\\ \implies 13.6 \times 70 = 1 \times h_2 \\\\\\ \implies h_2 = 13.6\times 70\ cm \\\\\\ \implies \Large\boxed{\bold{h_2 = 952\ cm}}$

Thus, The Height of the Water Column is 952 cm.

Answer 2

Answer:

use the formula of pressure

=vpg

here p means density of liquid