If work W is done in blowing a bubble of radi | vedclass

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

Question

(C) The work done $W$ in blowing a soap bubble of radius $R$ is given by the formula $W = T 	imes \Delta A$,where $T$ is the surface tension and $\De

Vedclass · Accepted Answer

$4W$

Vedclass · Answer

(C) The work done $W$ in blowing a soap bubble of radius $R$ is given by the formula $W = T 	imes \Delta A$,where $T$ is the surface tension and $\Delta A$ is the change in surface area. Since a soap bubble has two surfaces (inner and outer),the total surface area is $A = 2 	imes (4 \pi R^2) = 8 \pi R^2$.Thus,$W = 8 \pi R^2 T$.For a bubble of radius $2R$,the work done $W'$ is $W' = 8 \pi (2R)^2 T = 8 \pi (4R^2) T = 32 \pi R^2 T$.Comparing the two expressions,$W' = 4 	imes (8 \pi R^2 T) = 4W$.

If work $W$ is done in blowing a bubble of radius $R$ from a soap solution,then the work done in blowing a bubble of radius $2R$ from the same solution is

Similar Questions

Twenty-seven droplets of water, each of radius $0.1 \,mm$, merge to form a single drop. Calculate the energy released during this process. (Take surface tension of water $T = 0.072 \,N/m$)

What is surface energy?

The amount of work done in forming a soap film of size $10\,cm \times 10\,cm$ is (Surface tension $T = 3 \times 10^{-2}\,N/m$).

$A$ soap bubble of radius $r$ is blown up to form a bubble of radius $2r$ under isothermal conditions. If $T$ is the surface tension of the soap solution, what is the energy spent in blowing the bubble (in $\pi T r^2$)?

The surface tension of the soap water solution is $\frac{1}{10 \pi} \text{ N m}^{-1}$. The free energy of the surface layer of a soap bubble of diameter $5 \text{ mm}$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module