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Chapter 22: Problem 12

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

Short Answer

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

Step by step solution

01

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 脳 10^6 = 90,900,000 Hz
02

Use the wavelength formula

Now that we have the frequency in Hz, we can use the wavelength formula: Wavelength (位) = Speed of light (c) / Frequency (f)
03

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 (位) = (3.0 x 10^8 m/s) / (90,900,000 Hz) Calculate the result: Wavelength (位) 鈮� 3.3 meters
04

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.

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