MCQ
If the radius of a soap bubble is four times that of another, then the ratio of their excess pressures will be
- ✓$1:4$
- B$4:1$
- C$16:1$
- D$1:16$
✓
Answer
Correct option: A.
$1:4$
a
(a) $\Delta P \propto \frac{1}{r} \Rightarrow \frac{{\Delta {P_1}}}{{\Delta {P_2}}} = \frac{{{r_2}}}{{{r_1}}} = \frac{r}{{4r}} = \frac{1}{4}$
(a) $\Delta P \propto \frac{1}{r} \Rightarrow \frac{{\Delta {P_1}}}{{\Delta {P_2}}} = \frac{{{r_2}}}{{{r_1}}} = \frac{r}{{4r}} = \frac{1}{4}$
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