Describe the mercury barometer for the measurement of atmospheric pressure.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The Italian scientist Evangelista Torricelli devised the first method for measuring atmospheric pressure.
This device is shown in the figure.
$A$ long glass tube of $1 \text{ m}$,closed at one end and filled with mercury,is inverted into a trough of mercury. The thumb is kept on the open part of the tube.
If the thumb is removed from the tube,the level of the mercury column decreases slightly.
The space above the mercury column in the tube contains only mercury vapour,whose pressure $P$ is so small that it may be neglected. Thus,$P \approx 0$.
The pressure inside the column at point $A$ is equal to the pressure at point $B$,which is at the same horizontal level. The atmospheric pressure at point $A$ is given by:
$P_{a} = P + h \rho g$
Since $P \approx 0$,we have:
$P_{a} = 0 + h \rho g$
$\therefore P_{a} = h \rho g$
Where $\rho$ is the density of mercury and $h$ is the height of the mercury column.
In this device,the height of the mercury column at sea level is $76 \text{ cm}$,which is equivalent to one atmosphere.

Explore More

Similar Questions

$A$ container of height $10 \, cm$ is filled with water. There is a hole at the bottom. Find the pressure difference between points at the top and the bottom.

The pressure at the bottom of a liquid tank is not proportional to the

$A$ barometer tube,containing mercury,is lowered in a vessel containing mercury until only $50 \, cm$ of the tube is above the level of mercury in the vessel. If the atmospheric pressure is $75 \, cm$ of mercury,what is the pressure at the top of the tube?

In a cylindrical container open to the atmosphere from the top,a liquid is filled up to a $10\, m$ depth. The density of the liquid varies with depth $h$ from the surface as $\rho(h) = 100 + 6h^2$,where $h$ is in meters and $\rho$ is in $kg/m^3$. The pressure at the bottom of the container will be: (Atmospheric pressure $P_0 = 10^5\, Pa$,$g = 10\, m/s^2$)

Difficult
View Solution

$A$ barometer kept in an elevator reads $76 \, cm$ when it is at rest. If the elevator goes up with some acceleration, the reading will be .......... $cm$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo