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]

Question

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]

Smart Achievers · Accepted Answer

(8)

$△ P = \frac{4 T}{R}$

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

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

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)

$△ P = \frac{4 T}{R}$

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

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

Want Us to Email you About Special Offers & Updates?

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=4TR RARB=△PB△PA=2 VAVB=(RARB)3=8

Want Us to Email you About Special Offers & Updates?

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)

$△ P = \frac{4 T}{R}$

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

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