The work done in blowing a soap bubble of radius R is W1 and that to a radius 3R is W2. the ratio of work done is

  • Option 1)

    1:3

  • Option 2)

    3:1

  • Option 3)

    1:9

  • Option 4)

    9:1

 

Answers (1)
V Vakul

As we discussed in

Work Done in Stretching Wire / Elastic P.E. -

=\frac{1}{2}\frac{YAl^{2}}{L}=\frac{1}{2}Fl

- wherein

L - Length of wire

l - increase in length

 

 w \propto R^2

\therefore \frac{w_1}{w_2}=\frac{R^2}{3R^2} =\frac{R^2}{9R^2}=1:9

\frac{w_1}{w_2}=1:9


Option 1)

1:3

Incorrect

Option 2)

3:1

Incorrect

Option 3)

1:9

Correct

Option 4)

9:1

Incorrect

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