Fluid Mechanics Viscosity Question 316

Question: A soap bubble of radius R is surrounded by another soap bubble of radius 2R, as shown. Take surface tension$ =S $ . Then the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

Options:

A) 4S/R

B) 3S/R

C) 6S/R

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ P_{1}-P_{0}=\frac{4S}{2R},, $ ?..(i) $ P_{2}-P_{1}=\frac{4S}{R} $ ?..(ii) Add (i) and (ii), $ P_{2}-P_{0}=\frac{6S}{R} $