Answer to Question #73646 in General Chemistry for Kayla

Question

A local FM radio station broadcasts at a frequency of 97.5 MHz.

Calculate the wavelength at which it is broadcasting.
Wavelength = ___ meter

(1 MHz = 106 s -1)

Answer 1

97.5 MHz means 97.5·10^6 cycles/second.
Electromagnetic radiation (including radio waves) travel at 3.0·10^8 meters/second.
Wavelength = Speed/Frequency
The wavelength of a 97.5 MHz radio signal is 3.0·10^8 / 97.5·10^6 = 3.077 meters.