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JEE Advanced 2008Paper 2
Exam
JEE Advanced
Year
2008
Paper
Paper 2
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Advanced 2008 · Paper 2 · Physics · Mechanical Properties of Fluids

A glass tube of uniform internal radius (r) has a valve separating...

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

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

\Delta p_1=\frac{4 T}{r_1}andand\Delta p_2=\frac{4 T}{r_2}r1<r2∴Δp1>\Deltap2\begin{array}{cc}& r_1 < r_2 \\ \therefore & \Delta p_1>\Deltap_2 \end{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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