Properties Of Matter Ques 91

  1. A glass tube of uniform internal radius $(r)$ has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherial soap bubble of radius $r$. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve.

(2008, 3M)

alt text

(a) air from end 1 flows towards end 2. No change in the volume of the soap bubbles

(b) air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases

(c) no change occurs

(d) air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases

Show Answer

Answer:

Correct Answer: 91.(b)

Solution:

Formula:

Surface Tension

  1. $\Delta p _1=\frac{4 T}{r _1}$ and $\Delta p _2=\frac{4 T}{r _2}$

$$ r _1<r _2 \Rightarrow \Delta p _1>\Delta p _2 $$

$\therefore$ Air will flow from 1 to 2 and volume of bubble at end 1 will decrease.

Therefore, correct option is (b).



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