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Questions  

A bubble having surface tension. T and radius R is formed on a ring of radius b(b<<R) . Air is blown inside the tube with velocity v as shown. The air molecule collides perpendicularly with the will of the bubble and stops. Calculate the radius at which the bubble separates from the ring

 

a
4TρV2
b
8TρV2
c
10TρV2
d
16TρV2

detailed solution

Correct option is A

The bubble will separate from the tube when thrust force exerted by the air is equal to the force due to excess pressure.  F=PA ρAv2=4TRA∴ R=4Tρv2

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