Two tuning forks when sounded together give 8 beats per second. When tuning fork A is sounded with air column of length 37.5 cm closed at one end, resonance occurs in its fundamental mode. Tuning fork B gives resonance with air column of length 38.5 cm and is closed at one end in its fundamental mode. Find the frequencies of tuning forks.

Explanation

To solve the problem step by step, we will follow the reasoning and calculations outlined in the video transcript.

### Step 1: Understanding the Beat Frequency
When two tuning forks are sounded together, they produce beats. The number of beats per second is equal to the absolute difference in their frequencies. Here, we are given that the beat frequency is 8 beats per second.

Let:
- \( F_A \) = frequency of tuning fork A
- \( F_B \) = frequency of tuning fork B
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