Home
Class 11
PHYSICS
A barometer is constructed with its tube...

A barometer is constructed with its tube having radius 1.0 mm. Assume that the surface of mercury in the tube is spherical in shape. If the atmospheric pressure is equal to 76 cm of mercury, what will be the height raised in the barometer tube? The contact angle of mercury with glass`135^@` and surface tension of mercury `=0.465Nm^-1`. Density of mercury`=13600kgm^-3`.

Text Solution

Verified by Experts

The correct Answer is:
C
`r=1.0mm,
`p=76cm,
`theta=135^@, T=0.4654N/m`
`h=(2Tcostheta)/(rrhog)`
`theta=135^@, t=0.465N/m`
`h=(2xx465xx(1/sqrt2))/(10^-3xx13600xx10)=0.0048m`
`=0.48cm `
=capillary fault due to surface tension
So, height raised in barometer tube
`=H-h=76-0.48=75.52cm`
Promotional Banner

Similar Questions

Explore conceptually related problems

Mercury has an angle of contact equal to 140^(@) with soda lime glass . A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury .By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465Nm^(-1) . Density of mercury =13.6xx10^(3)kgm^(-3)

Mercury has an angle of contact equal to 140^@ with soda lime glass. A narrow tube of radius 1.00mm made of this glass is dipped in a trough containing mercury.By what amount does the mercury at the temperature of the experiment is 0.465 Nm^-1 . Density of mercury = 13.6 times 10^3 kg m^-3

A U- tube contains water and methlated spirit separated by mercury . The mercury columns in the two arms are in level with 10.0 cm of spirit in the other. What is the specific grvity of spirit ?

Two mercury droplets of radii 0.1 cm . And 0.2 cm . Collapse into one single drop .What amount of energy is released ? The surface tension of mercury T=435.5xx10^(-3)Nm^(-1)

In the previous problem , if 15.0 cm of water and spirit each are further poured into the respective arms of the tube , what is the difference in the levels of mercury in the two arms ? (Specific gravity of mercury =13.6)

Calculate the excess pressure withing a bubble of air of radius 0.1 mm in water. If te bubble had been formed 10 cm below the water surface on a day when the atmospheric pressure was 1.013xx10^(5)Pa then what would have been the total pressure inside the bubble? surface tension of water =73xx10^(-3)N//m

Water rises to a height of 10 cm in a capillary tube and mercury falls to a depth of 3.42 cm in the same capillary tube. If the density of mercury is 13.6 g//c.c. and the angles of contact for mercury and for water are 135^@ and 0^@ , respectively, the ratio of surface tension for water and mercury is

In the previous problem, If 15.0 cm of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels of mercury in the two arms?

Water is flowing through a horizontal pipe of irregular cross section . If the pressure at a point where the velocity is 0.2ms^(-1) is 30 mm Hg , what will be the pressure at a point where the velocity is 1.2ms^(-1) ? (Density of mercury =13.6gcm^(-3),g=1000cms^(-2) , Density of water =1gcm^(-3))