Home
Class 12
PHYSICS
A small air bubble of radius r in water ...

A small air bubble of radius r in water is at depth h below the water surface. If `P_0` is the atmospheric pressure, `rho` is the density of water and T is the surface tension of water, what is the pressure inside the bubble?

Text Solution

Verified by Experts

The absolute pressure within the liquid at a depth h is `P=P_0+rhogh`.
Since the excess pressure inside a bubble is `(2T)/(R)`,
the pressure inside the bubble is
`P_(in)=P+(2T)/(R)=P_0+rhogh+(2T)/(R)`.
Promotional Banner

Topper's Solved these Questions

  • VERY SHORT ANSWER QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise WAVE MOTION|9 Videos

  • VERY SHORT ANSWER QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise STATIONARY WAVES|8 Videos

  • VERY SHORT ANSWER QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ELASTICITY|9 Videos

  • SOLVED PROBLEMS-II

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignments|5 Videos

Similar Questions

Explore conceptually related problems

A small air bubble of radius r in water is at a depth h ( r lt lt h ) . If P_(o) is the atmospheric pressure, rho is the density of water and T is the surface tension of water, the excess pressure inside the bubble over the pressure outside it is

An air bubble of radius r in water is at a depth h below the water surface at some instant. If P is atmospheric pressure, d and T are density and surface tension of water respectivley . the pressure inside the bubble will be :

A small air bubble of radius 'r' is at a depth 'h' below the water surface (density of water = rho) . Surface tension of water is T, atmospheric pressure is p_(0) . Find pressure inside the air bubble for the condition r lt lt h

A small air bubble of radius 0.1 mm is situated at a depth of 10 m below the free surface of water .The external pressure on the bubble will be

If a small air bubble of radius 0.1 mm is formed just below the surface of water, then the pressure inside the air bubble will be

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^(3)Pa then what would have been the total pressure inside the bubble? surface tension of water =73xx10^(-3)N//m

The pressure at depth h below the surface of a liquid of density rho open to the atmosphere is

An air bubble is formed at depth h below the surface of water. The pressure inside the bubble is- ( P_(0)= atmospheric pressure, r = radius of bubble)

An air bubble of radius 1mm is formed inside water at a depth 10m below free surface (where air pressure is 10^5 N/m^2) . The pressure inside the bubble is – (Surface tension of water = 7 x× 10^(–2) N//m)

An air bubble doubles in radius on string from the bottom of a lake to its surface. If the atmospheric pressure is equal to that of a column of water of height H , the depth of the lake is