A tuning fork sends sound waves in air. If the temperature of the air increases, which of the following parameters will changes?

Options

A. displacement amplitude
B. frequency
C. wavelength
D. time period

Answer

To solve the question regarding the effect of temperature increase on sound waves in air, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Temperature and Sound Velocity**:
- The velocity of sound in air is given by the formula:
\[ v = \gamma R_0 T \]
where \( \gamma \) is the adiabatic constant, \( R_0 \) is the universal gas constant, and \( T \) is the temperature in Kelvin.
- As the temperature \( T \) increases, the velocity \( v \) of sound will also increase.

2. **Identify the Parameters to Analyze**:
- The parameters given in the question are displacement, amplitude, frequency, wavelength, and time period. We need to determine which of these will change with an increase in temperature.

3. **Frequency of Sound**:
- It is important to note that the frequency of sound in a medium remains constant when the source of sound (like a tuning fork) does not change. Therefore, frequency does not change with temperature.

4. **Relationship Between Velocity, Frequency, and Wavelength**:
- The relationship between velocity \( v \), frequency \( \nu \), and wavelength \( \lambda \) is given by:
\[ v = \nu \lambda \]
- Since we established that \( v \) (velocity) increases and \( \nu \) (frequency) remains constant, we can deduce that the wavelength \( \lambda \) must increase to maintain the equation.

5. **Conclusion**:
- Based on the analysis, the parameters that will change with an increase in temperature are:
- **Wavelength** (it will increase).
- The other parameters (displacement, amplitude, frequency, and time period) will not change.

### Final Answer:
The parameter that will change is **wavelength**.

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