1000 ergs of work is done in blowing a soap bubble to a radius x cm. Calculate the additional work required to blow it to a radius of 2 x cm.

Explanation

To solve the problem of calculating the additional work required to blow a soap bubble from a radius of \(x\) cm to \(2x\) cm, we can follow these steps:

### Step 1: Understand the Work Done in Blowing a Soap Bubble
The work done in blowing a soap bubble is related to the change in surface area and the surface tension of the soap bubble. The formula for work done \(W\) in terms of surface tension \(T\) and change in surface area \(\Delta S\) is given by:

\[ W = T \cdot \Delta S \]
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