Question

Two soap bubbles have radii in the ratio of 4:3. What is the ratio of work done to blow these bubbles.
a) 4 : 3
b) 16 : 9
c) 9 : 16
d) 3 : 4
Explanation needed. ​

Answer 1

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Given: r1 : r2 = 4 : 3

To find: W1 : W2

Formulae: W = 2TdA [½]

Calculation: From formula,

Work done to blow both bubbles,

`W_1-2T(4pir_1^2); and W_2=2T(4pir_2^2)`

`W_1/W_2=(r_1/r_2)^2`

`=(4/3)^2`

=16 : 9

The ratio of work done to blow the bubbles is 16 : 9.

Answer 2

Answer:

Given: r1 r2 = 4:3

To find: W₁: W2

Formulae: W = 2TdA [2]

Calculation: From formula,

Work done to blow both bubbles,

W₁ - 2T (4²); and W2 = 2T (4π ㅠ

W2 - (-)

W₁

(4)

=16:9

2

2

X

The ratio of work done to blow the