Two tuning forks `A` and `B` sounded together give `8` beats per second. With an air resonance tube closed at one end, the two forks give resonances when the two air columns are `32 cm` and `33 cm` respectively. Calculate the frequenciec of forks.

Explanation

To solve the problem, we need to find the frequencies of the tuning forks A and B based on the information given about the beats and the resonance lengths in the closed-end air column. Let's break it down step by step.

### Step 1: Understand the relationship between frequency and resonance length
The frequency of a tuning fork can be calculated using the formula for the fundamental frequency of a closed-end air column:
\[ f = \frac{V}{4L} \]
where \( V \) is the speed of sound in air (approximately \( 343 \, \text{m/s} \) at room temperature) and \( L \) is the length of the air column in meters.
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