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To calculate the wavelength of the FM radio signal broadcasting at a frequency of 99.7 MHz, we use the formula:

\[
\lambda = \frac{c}{f}
\]

where:
- \( \lambda \) is the wavelength in meters.
- \( c \) is the speed of light, approximately \( 3.0 \times 10^8 \, \text{m/s} \).
- \( f \) is the frequency, which is 99.7 MHz \( = 99.7 \times 10^6 \, \text{Hz} \).

### Step-by-Step Calculation:

1. **Convert MHz to Hz:**
   \[
   99.7 \, \text{MHz} = 99.7 \times 10^6 \, \text{Hz}
   \]

2. **Apply the formula:**
   \[
   \lambda = \frac{3.0 \times 10^8 \, \text{m/s}}{99.7 \times 10^6 \, \text{Hz}}
   \]

3. **Simplify:**
   \[
   \lambda = \frac{3.0 \times 10^8}{9.97 \times 10^7}
   \]

   \[
   \lambda \approx 3.01 \, \text{meters}
   \]

### Final Answer:
The wavelength of the radio station broadcasting at 99.7 MHz is approximately **3.01 meters**.

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Would you like more detailed steps or help with other concepts?  
Here are 5 related questions to explore:  

1. How does frequency affect the wavelength of a wave?  
2. What is the relationship between speed, frequency, and wavelength for other types of waves?  
3. How does the electromagnetic spectrum categorize waves like radio waves?  
4. What happens to the wavelength if the frequency is doubled?  
5. How does FM radio differ from AM radio in terms of frequency and modulation?

**Tip:** Always ensure that units are consistent before performing calculations to avoid errors.

A local FM radio station broadcasts at a frequency of 99.7 MHz. Calculate the wavelength at which it is broadcasting.

Learn how to calculate the wavelength for an FM radio station broadcasting at 99.7 MHz using the speed of light and the wavelength-frequency formula. This example shows step-by-step calculations, including converting frequency to Hz and simplifying the formula. Perfect for students in Grades 9-12.

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