Two soap bubbles have radii in the ratio of `4:3` . What is the ratio of work done to blow these bubbles ?

Explanation

Let, `r_(1)andr_(2)` be the radii of two soap bubbles.
Then, `r_(1):r_(2)=4:3`
Now, work done to blow both bubbles is given by
`W_(1)=2T(4pir_(1)^(2))`
and `W_(2)=2T(4pir_(2)^(2))`
Then, `(W_(1))/(W_(2))=(r_(1)^(2))/(r_(2)^(2))`
`=((r_(1))/(r_(2)))^(2)`
`=((4)/(3))^(2)`
`=(16)/(9)`
Therefore, the ratio of work done to blow these bubbles is 16 : 9.