Two forks A and B when sounded together produce 4 beat/s. The fork A is in unison with 30 cm length of a sonometer wire and B is in unison with 25 cm length of the same wire at the same tension Calculate the frequency of the forks.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the relationship between frequency and length
The frequency of a vibrating wire is inversely proportional to its length when tension and mass per unit length are constant. This means that if fork A is in unison with a 30 cm wire and fork B with a 25 cm wire, we can write:
\[ F_1 \cdot L_1 = F_2 \cdot L_2 \]
Where:
- \( F_1 \) is the frequency of fork A
- \( F_2 \) is the frequency of fork B
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