A piano wire `A` vibrates at a fundamental frequency of `600 H_(Z)`. A second identical wire `B` produces `6` beats per second with it when the tension in `A` is slightly increased. Find the ratio of the tension in `A` to the tension in `B`.

Explanation

To solve the problem step by step, we will follow the concepts of frequency, tension, and the relationship between them in vibrating strings.

### Step 1: Understand the given information
We know that:
- The fundamental frequency of wire A, \( f_A = 600 \, \text{Hz} \)
- The beat frequency between wire A and wire B is \( n = 6 \, \text{Hz} \)

### Step 2: Calculate the frequency of wire B
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