The speed of sound in air is independent from its

Options

A. Amplitude
B. frequency
C. Phase
D. All of these

Answer

To solve the question regarding the speed of sound in air and what it is independent of, we can follow these steps:

### Step 1: Understand the Formula for Speed of Sound
The speed of sound in a medium (like air) can be expressed by the formula:
\[ v = \sqrt{\frac{\gamma R T}{m}} \]
Where:
- \( v \) = speed of sound
- \( \gamma \) = adiabatic index (ratio of specific heats)
- \( R \) = universal gas constant
- \( T \) = absolute temperature
- \( m \) = molar mass of the gas

### Step 2: Identify the Variables Affecting Speed
From the formula, we can see that the speed of sound depends on:
- Temperature (\( T \))
- Medium properties (which affect \( \gamma \) and \( m \))

### Step 3: Determine Independence from Other Factors
Now, we need to analyze the options given in the question:
1. **Amplitude**: The formula does not include amplitude, indicating that the speed of sound is independent of amplitude.
2. **Frequency**: The formula also does not include frequency, meaning the speed of sound is independent of frequency.
3. **Phase**: Similarly, phase is not part of the formula, showing that speed is independent of the phase of the wave.

### Step 4: Conclusion
Since the speed of sound in air is independent of amplitude, frequency, and phase, we conclude that it is independent of all these factors.

### Final Answer
The speed of sound in air is independent of amplitude, frequency, and phase.

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