A fire whistle emits a tone of 170 Hz. Take the speed of sound in air to be 340 m/s. The wavelength of this sound is about

Options

A. 0.5m
B. 1.0m
C. 2.0m
D. 3.0m

Answer

To find the wavelength of the sound emitted by the fire whistle, we can use the relationship between the speed of sound, frequency, and wavelength. The formula is given by:

\[ v = f \times \lambda \]

where:
- \( v \) is the speed of sound,
- \( f \) is the frequency of the sound,
- \( \lambda \) is the wavelength.

### Step-by-Step Solution:

1. **Identify the given values**:
- Frequency (\( f \)) = 170 Hz
- Speed of sound (\( v \)) = 340 m/s

2. **Rearrange the formula to solve for wavelength (\( \lambda \))**:
\[ \lambda = \frac{v}{f} \]

3. **Substitute the known values into the equation**:
\[ \lambda = \frac{340 \, \text{m/s}}{170 \, \text{Hz}} \]

4. **Perform the calculation**:
\[ \lambda = 2 \, \text{m} \]

5. **Conclusion**:
The wavelength of the sound produced by the fire whistle is approximately 2 meters.

### Final Answer:
The wavelength of the sound is about 2 meters.

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