The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble B, then, the value of n is ________. [2025]

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Solution

Q.
The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble B, then, the value of n is ________. [2025]

Ans.
(8)

$△ P = \frac{4 T}{R}$

$\frac{R_{A}}{R_{B}} = \frac{△ P_{B}}{△ P_{A}} = 2$

$\frac{V_{A}}{V_{B}} = {(\frac{R_{A}}{R_{B}})}^{3} = 8$

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