Two identical piano wires have a fundamental frequency of 600 Hz when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 8.0 beats/s when both wires oscillate simultaneously?

Explanation

To solve the problem, we need to determine the fractional increase in the tension of one wire that will lead to the occurrence of 8 beats per second when both wires oscillate simultaneously. Let's break down the solution step by step.

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