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Questions  

A soap bubble is being blown at the end of a very narrow tube of radius b. Air (density ρ) moves with a velocity ‘v’ inside the tube and comes to rest inside the bubble. The surface tension of the soap solution is T. After some time the bubble, having grown to a radius ‘r’, separates from the tube. Find the value of ‘r’. Assume that r>>b so that you can consider the air to be falling normally on the bubble’s surface.
 

a
4Tρv3
b
4Tρv
c
2Tρv2
d
4Tρv2

detailed solution

Correct option is D

The bubble will separate from the tube when thrust force exerted by the air is equal to the force due to excess pressure. i.e. ρAv2=4TrA  or  r=4Tρv2

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Similar Questions

Consider the following statements.
(A) A large force is required to draw apart normally two glass plates enclosing a thin water film.
(B) Water works as glue and sticks two glass plates

Select the correct option.
(a) (A) is false, But (B) is true.
(b) Both (A) and (B) are true.
(c) (A) is true, But (B) is false.
(d) Both (A) and (B) are false.


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