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QJEEAdv08Phb6d3: JEE Advanced 2008 Physics - Class 11 JEEAdv08Phb6d3 Solution: A glass tube of uniform internal radius (r) has a valve…

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,

IIT-JEE 2008 Paper 2 Offline Physics - Properties of Matter Question 6 English

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

Given that,

{r_2} > {r_1}

Just inside of soap bubble, the pressure

P1=P0+4Tr1{P_1} = {P_0} + {{4T} \over {{r_1}}} ..... (i)

P2=P0+4Tr2{P_2} = {P_0} + {{4T} \over {{r_2}}} .... (ii)

Hence, {r_2} > {r_1} then {P_1} > {P_2}

Therefore, air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases.

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