Describe mercury barometer for measurement of atmospheric pressure.
Italian scientist Evangelista Torricelli devised for the first time, the method for measuring atmospheric pressure.
This device is shown in figure
A long glass tube of $1 \mathrm{~m}$ closed at one end and filled with mercury is inverted into a trough of mercury. Thumb is kept on open part of tube.
If thumb is taken from tube, level of mercury column slightly decreases.
The space above the mercury column in the tube contains only mercury vapour whose pressure P is so small that it may be neglected. $\mathrm{P}=0$.
The pressure inside the column at point $\mathrm{A}=$ the pressure at point $\mathrm{B}$, which is at the same level. Atmospheric pressure at point $A$
$\mathrm{P}_{\mathrm{a}}=\mathrm{P}+h \rho g$
$\mathrm{P}_{\mathrm{a}}=\mathrm{O}+h \rho g$
$\therefore \mathrm{P}_{\mathrm{a}} =h \rho g$
Where $\rho=$ density of mercury, $h=$ height of the mercury column.
In this device height of mercury column at sea level is $76 \mathrm{~cm}$ which is equivalent to one atmosphere.
An open glass tube is immersed in mercury in such a way that a length of $8\ cm$ extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional $46\ cm$. What will be length of the air column above mercury in the tube now ....... $cm$ ?
( Atmospheric pressure = $76\ cm$ of $Hg$)
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A pressure-pump has a horizontal tube of cross-sectional area $10\,cm ^{2}$ for the outflow of water at a speed of $20\,m / s$. The force exerted on the vertical wall just in front of the tube which stops water horizontally flowing out of the tube, is $...N$ [given : density of water $=1000\,kg / m ^{3}$ ]
What does it mean when a height of a barometer is falling ?