The excess pressure inside a spherical drop of water is three times that of another drop of water. The ratio…
The excess pressure inside a spherical drop of water is three times that of another
drop of water. The ratio of their surface area is
- $3: 1$
- $6: 1$
- $1: 9$
- $1: 3$
Solution
Excess pressure $p=\frac{2 T}{r}$
$\frac{p_{1}}{p_{2}}=\frac{r_{2}}{r_{1}}=3$
$\begin{array}{l}
\therefore r_{2}=3 r_{1} \\
\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^{2}}{\pi r_{2}^{2}}=\left(\frac{r_{1}}{r_{2}}\right)^{2}=\frac{1}{(3)^{2}}=\frac{1}{9}
\end{array}$
.
Asked in: MHT CET 2020 (13 Oct Shift 2)
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