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MHT CET · Physics · Mechanical Properties of Fluids

The excess pressure inside a soap bubble is 1.5 times the excess pressure inside a second soap bubble. The volume of the second bubble is ' \(x\) ' times the volume of the first bubble. The value of ' \(x\) ' is

  1. A \(\frac{3}{2}\)
  2. B \(\frac{9}{4}\)
  3. C \(\frac{8}{27}\)
  4. D \(\frac{27}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{27}{8}\)

Step-by-step Solution

Detailed explanation

\( \Delta P \propto \frac{1}{R} \) \( V \propto R^3 \propto \frac{1}{(\Delta P)^3} \)
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