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 hemispherical soap bubble of radius `r`. End `2` has sub-hemispherical soap bubble as shown in figure. Just after opening the valve.

Options

A. air from end 1 flow towards end 2. No change in the volume of the soap bubbles
B. air from end 1 flow towards end 2. Volume of the soap bubble at end 1 decreases
C. no change occurs
D. air from end 2 flow towards end 1. Volume of the soap bubble at end 1 increases

Answer

B

Explanation

`r_(2)gtr_(1)," "P_(2)=P_(0)+(4sigma)/(r_2)," "P_(1)=P_(0)+(4sigma)/(r_1)."Since"r_(1)ltr_(2)`
`therefore" "P_(1)gtP_(2)" "therefore" "` Air flows from End 1 towards End 2
`therefore" "r_(1) "decreases" and r_(2)"increases"rArr` Option(B) is correct