With the increase in temperature, the frequency of the sound from an organ pipe

Options

A. decreases
B. increases
C. remains unchanged
D. changes erratically

Answer

To solve the question regarding the effect of temperature on the frequency of sound from an organ pipe, we can follow these steps:

### Step 1: Understand the relationship between sound speed and temperature
The speed of sound in air is affected by temperature. The relationship can be expressed as:
\[ V \propto \sqrt{T} \]
where \( V \) is the speed of sound and \( T \) is the absolute temperature (in Kelvin).

### Step 2: Relate frequency and speed of sound
The frequency (\( f \)) of a sound wave is related to its speed (\( V \)) and wavelength (\( \lambda \)) by the equation:
\[ f = \frac{V}{\lambda} \]
This means that frequency is directly proportional to the speed of sound when the wavelength remains constant.

### Step 3: Combine the relationships
From the first step, we know that:
\[ V \propto \sqrt{T} \]
Substituting this into the frequency equation gives:
\[ f \propto \sqrt{T} \]
This indicates that frequency is also proportional to the square root of the temperature.

### Step 4: Analyze the effect of increasing temperature
As the temperature increases, the square root of the temperature also increases. Therefore, the frequency of the sound produced by the organ pipe will increase.

### Conclusion
With the increase in temperature, the frequency of the sound from an organ pipe increases.

### Final Answer
The correct option is: **Increases**

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