Two soap bubbles of the same soap solution have diameters in the ratio 1 :2. What is the ratio of work done to blow these bubbles ?

Explanation

To solve the problem of finding the ratio of work done to blow two soap bubbles with diameters in the ratio of 1:2, we can follow these steps:

### Step 1: Understand the relationship between diameter and radius
The diameter of a bubble is given in the ratio of 1:2. Let the diameter of the first bubble be \( d_1 \) and the diameter of the second bubble be \( d_2 \). Therefore, we can express this as:
\[ d_1 : d_2 = 1 : 2 \]
From this, we can find the radii \( r_1 \) and \( r_2 \) of the bubbles:
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