MCQ
Pressure inside two soap bubbles are $1.02 \,atm$ and $1.05 \,atm$ respectively. The ratio of their surface area is .........
  • A
    $\frac{125}{8}$
  • $\frac{25}{4}$
  • C
    $\frac{5}{2}$
  • D
    $\frac{2}{5}$

Answer

Correct option: B.
$\frac{25}{4}$
b
(b)

Excess pressure $\Delta P =\frac{4 T }{ R }$

$\frac{\Delta P _1}{\Delta P _2}=\frac{ R _2}{ R _1}=\frac{2}{5}$

$\frac{ S _1}{ S _2}=\left(\frac{ R _2}{ R _1}\right)^2=\frac{25}{4}$

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