An organ pipe is sounded with a tuning fork of frequency 256 Hz. When the air in the pipe is at a temperature of `15^@C`, 23 beats are heard in 10 sec. When the tuning fork is loaded with a small piece of wax, the beat frequency is found to decrease. What change of temperature of the air in the pipe is necessary to bring the pipe and the unloaded fork into unison?

Explanation

To solve the problem step by step, we will follow the logical sequence of calculations based on the information provided in the question.

### Step 1: Understand the Given Information
- Frequency of the tuning fork, \( f_t = 256 \, \text{Hz} \)
- Temperature of the air in the pipe, \( T = 15^\circ C \)
- Number of beats heard in 10 seconds = 23 beats
- Beat frequency, \( f_b = \frac{23 \, \text{beats}}{10 \, \text{seconds}} = 2.3 \, \text{Hz} \)

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