Find the ratio of the fundamental tone frequencies of two identical strings after one of them was stretched by `eta_(1)=2.0 %` and the other, by `eta_(2)=4.0 %`. The tension is assumed to be proportional to the elongation.

Explanation

To find the ratio of the fundamental tone frequencies of two identical strings that have been stretched by different percentages, we can follow these steps:

### Step 1: Understand the relationship between frequency, tension, and length
The fundamental frequency \( f \) of a string is given by the formula:
\[ f = \frac{1}{2L} \sqrt{\frac{T}{m}} \]
where:
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