Home
Class 11
PHYSICS
What should be the pressure inside a sma...

What should be the pressure inside a small air bubble of `0.1 mm` radius situated just below the surface of water? Surface tension of water `=72xx10^(-3)N//m` and atmospheric pressure `=1.013xx10^(5)N//m^(2)`

Text Solution

Verified by Experts

Surface tension of water `T=7.2xx10^(-2) Nm^(-1)`
Radius of air bubble `R=0.1 mm = 10^(-4) m`
The excess pressure inside the air bubble is given by,
`p_(2)-p_(1)=(2T)/(R )`
`therefore` Pressure inside the air bubble, `p_(2)=p_(1)+(2T)/(R )`
Substituting the values, we have
`p_(2)=(1.013xx10^(5))+((2xx7.2xx10^(-2)))/(10^(-4))=1.027xx10^(5)Nm^(-2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.34|1 Videos

  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.35|1 Videos

  • FLUID MECHANICS

    DC PANDEY ENGLISH|Exercise Example 13.32|1 Videos

  • EXPERIMENTS

    DC PANDEY ENGLISH|Exercise Subjective|15 Videos

  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos

Similar Questions

Explore conceptually related problems

What should be the pressure inside a small air bubble of 0.1mm radius situated just below the water surface. Surface tension of water =7.2xx10^(-2)N//m and atmosphere pressure =1.013xx10^(5)N//m^(2) .

Calculate the pressue inside air bubble of diameter 0.2 mm situated just below the surface of water. Surface tension of water is 72 xx 10^(-3) Nm^(-1) .

The pressure inside an air bubble of radius 2 cm formed 20 cm below an open water surface is (Given surface tension of water = 70 xx 10^(-3) Nm^(-1) )

An air bubble is lying just below the surface of water. The surface tension of water is 70xx10^(-3)Nm^(-1) and atmospheric pressure is 1.013xx10^(5)Nm^(-2) . If the radius of bubble is 1mm, then the pressure inside the bubble will be-

What is the pressure on a swimmer 10m below the surface of lake? g=10ms^(-2) , atmospheric pressure = 1.01 xx 10^(5)Pa

What is the pressure inside a drop of mercury of radius 3.0mm at room temperature? Surface tension of mercury at that temperature (20^(@)C) is 4.65xx10^(-1)Nm^(-1) . The atmospheric pressure is 1.01xx10^(5)Pa . Also give the excess pressure inside the drop.

Find the pressure inside an air bubble of radius 1 mm at a depth of 20 m in water. (Assume P _ 0 " " 10 ^5 N//m^ 2 , surface tension of water 0.072 N//m )

Work done in splitting a drop of water of 1 mm radius into 10^(6) droplets is (Surface tension of water= 72xx10^(-3)J//m^(2) )

An air bubble of radius 0.6mm may remain in equilibrium at a depth in water. If the surface tension of water is 72 xx10^(-3) N//m then calculate the depth.

What is the difference of pressure between the inside and outside of a spherical drop of water of radius 1mm? Surface tension of water = 7.2 xx 10^(-2)Nm^(-1)

Home
Profile