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JEE Advanced2008PhysicsMechanical Properties of FluidsActual

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

  1. Aair from end 1 flows towards end 2. No change in the volume of the soap bubbles
  2. Bair from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases
  3. Cno change occurs
  4. Dair from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases

Correct answer

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

Step-by-step solution

p₁= 4 T r₁ and p₂= 4 T r₂ array cc & r₁ p₂ array 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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