The work done in blowing a soap bubble of rad | vedclass

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

Question

(C) The work done in blowing a soap bubble of radius $r$ is given by $W = 2 	imes (4 \pi r^2) 	imes T = 8 \pi r^2 T$,where $T$ is the surface tensio

Vedclass · Accepted Answer

$W_2 < 4 W_1$

Vedclass · Answer

(C) The work done in blowing a soap bubble of radius $r$ is given by $W = 2 	imes (4 \pi r^2) 	imes T = 8 \pi r^2 T$,where $T$ is the surface tension of the soap solution.For the first bubble of radius $R$ at room temperature with surface tension $T_1$,the work done is $W_1 = 8 \pi R^2 T_1$.For the second bubble of radius $2R$ at a higher temperature with surface tension $T_2$,the work done is $W_2 = 8 \pi (2R)^2 T_2 = 32 \pi R^2 T_2$.Comparing the two,we have $\frac{W_2}{W_1} = \frac{32 \pi R^2 T_2}{8 \pi R^2 T_1} = 4 \left( \frac{T_2}{T_1} ight)$.Since the soap solution is heated,the surface tension decreases,meaning $T_2 Therefore,$W_2 < 4 W_1$.

The work done in blowing a soap bubble of radius $R$ is $W_1$ at room temperature. Now the soap solution is heated. From the heated solution another soap bubble of radius $2R$ is blown and the work done is $W_2$. Then:

Similar Questions

Energy needed in breaking a liquid drop of radius $R$ into $n$ smaller drops,each of radius $r$,is [where $T$ is the surface tension of the liquid].

If the work done in blowing a soap bubble of volume $V$ is $W$,then the work done in blowing a soap bubble of volume $2V$ will be

The potential energy of a molecule on the surface of a liquid compared to one inside the liquid is

If $W_1$ is the work done in increasing the radius of a soap bubble from $r$ to $2r$ and $W_2$ is the work done in increasing the radius of the soap bubble from $2r$ to $3r$,then $W_1: W_2=$

$A$ liquid drop having surface energy $E$ is spread into $512$ droplets of the same size. The final surface energy of the droplets is (in $E$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module