192k views
5 votes
An FM radio station has a frequency of 88.9 MHz. what is the wavelength of this radiation in meters?

User Amaynut
by
5.7k points

2 Answers

5 votes

Final answer:

The wavelength of an FM radio station with a frequency of 88.9 MHz is approximately 3.37 meters.

Step-by-step explanation:

The wavelength of a radio wave can be determined using the formula:

wavelength = (speed of light) / (frequency)

Given that the frequency of the FM radio station is 88.9 MHz, we can convert it to Hz by multiplying it by 10^6. This gives us a frequency of 88.9 x 10^6 Hz. The speed of light is approximately 3 x 10^8 meters per second. Substituting these values into the formula, we get:

wavelength = (3 x 10^8 m/s) / (88.9 x 10^6 Hz)

= 3.37 meters

Therefore, the wavelength of this FM radio station is approximately 3.37 meters.

User Geoffrey H
by
5.9k points
2 votes

Convert to Hz from MHz: 88.9 MHz x 1x106Hz /1MHz = 8.89x107 Hz

User Bartos
by
5.9k points