Home
Class 11
PHYSICS
A container filled with air under pressu...

A container filled with air under pressure `P_(0)` contains a soap bubble of radius `R` the air pressure has been reduced to half isothermally and the new radius of the bubble becomes `(5R)/(4)` if the surface tension of the soap water solution. Is S, `P_(0)` is found to be `(12nS)/(R)`. Find the value of n.

Text Solution

Verified by Experts

`(P_(0)+(4S)/(R))((4)/(3)piR^(3))=((P_(0))/(2)+(4Sxx4)/(5R))xx(4)/(3)pi((5R)/(4))^(3)impliesP_(0)+(4S)/(R)=((P_(0))/(2)+(16S)/(5R))(125)/(64)impliesP_(0)=(96S)/(R)`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Elasticity)|16 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Surface Tension)|21 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A vessel filled with air under pressure p_0 contains a soap bubble of diameter d . The air pressure having been reduced isothermally n-fold , the bubble diameter increased eta-fold . Find the surface tension of the soap water solution.

A vessel filled with air under pressue p_(0) contains a soap bubble of diameter d . The air presuue have been reduced n -fold, and the bubbled diameter increased r -fold is othermally. Find the surface tension of the soap water solution.

Excess pressure inside a soap bubble of radius r and surface tension T is

What will be the work done in increasing the radius of soap bubble from r/2 to 2r, if surface tension of soap solution is T?

Two soap bubbles of radius R_1 and R_2 combine isothermally to form a new soap bubble. Find radius of new soap bubble

The excess pressure inside a soap bubble P and the radius R of the bubble are related as

A soap bubble of radius r si blown up to form of bubble of radius 3r under isothermal conditions . What is the energy spent in doing so if the surface tension of soap solution is S.

Air is pushed inot a soap bubble of radius r to duble its radius. If the surface tension of the soap solution is S, the work done in the process is