A soap bubble,having a radius of 1 mm,is blo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The pressure inside a soap bubble is given by $P = P_0 + \frac{4T}{R}$,where $P_0$ is the atmospheric pressure,$T$ is the surface tension,and $R$

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) The pressure inside a soap bubble is given by $P = P_0 + \frac{4T}{R}$,where $P_0$ is the atmospheric pressure,$T$ is the surface tension,and $R$ is the radius of the bubble.The pressure at a depth $Z_0$ below the free surface of water is given by $P = P_0 + ho g Z_0$.Equating the two expressions for pressure:$P_0 + ho g Z_0 = P_0 + \frac{4T}{R}$This simplifies to:$ho g Z_0 = \frac{4T}{R}$Substituting the given values ($T = 2.5 	imes 10^{-2} \ N/m$,$R = 1 \ mm = 10^{-3} \ m$,$ho = 10^3 \ kg/m^3$,$g = 10 \ m/s^2$):$Z_0 = \frac{4 	imes 2.5 	imes 10^{-2}}{10^3 	imes 10 	imes 10^{-3}}$$Z_0 = \frac{10 	imes 10^{-2}}{10^1} = 10^{-2} \ m$$Z_0 = 1 \ cm$.

List-$I$	List-$II$
$a$. Sodium laurylsulphate	$i$. Toilet soap
$b$. Cetyltrimethyl ammonium chloride	$ii$. Non-ionic detergent
$c$. Sodium stearate	$iii$. Anionic detergent
$d$. Polyethyleneglycyl stearate	$iv$. Cationic detergent

Similar Questions

Which of the following is a self-adjusting force?

$e^{\log (\cosh^{-1} 2)}$ is equal to :

What is the percentage of lead in a lead pencil (in $,\%$)?

In a cyclic process,the work done by the system is

Vedclass Test Series

Exam Paper Generator

Online Exam Module