Fluid Mechanics Viscosity Question 241

Question: If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be [AIIMS 2000]

Options:

A) 1 : 4

B) 4 : 1

C) 16 : 1

D) 1 : 16

Show Answer

Answer:

Correct Answer: A

Solution:

$ \Delta P\propto \frac{1}{r}\Rightarrow \frac{\Delta P_{1}}{\Delta P_{2}}=\frac{r_{2}}{r_{1}}=\frac{r}{4r}=\frac{1}{4} $