Question

What is the wavelength of the radio waves broadcast by an FM radio station with a frequency of 90.9 MHz?

Short answer

Answer: The wavelength of the radio waves is approximately 3.3 meters.

Step-by-step solution

Convert frequency to Hz

We are given the frequency in MHz (90.9 MHz). To convert it to Hz, we need to multiply it by 10^6: Frequency (f) = 90.9 MHz × 10^6 = 90,900,000 Hz

Use the wavelength formula

Now that we have the frequency in Hz, we can use the wavelength formula: Wavelength (λ) = Speed of light (c) / Frequency (f)

Plug in values and calculate

Plug in the values for the speed of light (c = 3.0 x 10^8 m/s) and the converted frequency (f = 90,900,000 Hz) into the formula: Wavelength (λ) = (3.0 x 10^8 m/s) / (90,900,000 Hz) Calculate the result: Wavelength (λ) ≈ 3.3 meters

Conclusion

The wavelength of the radio waves broadcast by an FM radio station with a frequency of 90.9 MHz is approximately 3.3 meters.