What is the wavelength (in meters) of a 1.9GHz cellphone radiowave? Give your answer as xx.xx ( no units)?

Question

I was really sick, (strep throat, hospitalized) and I missed my physics class. I have someone who takes notes for me when I miss class, but she was in the hospital with me and we don't know anyone else in the class.... PLEASE HELP!

Answer 1

The relationship between wavelength and frequency is λ (wavelength = v/f

1.9 GHz is the frequency. The velocity is c (speed of light), because radio waves are electromagnetic radiation.

So: λ = 299,792,458 m/s / 1.9 * 10^9 Hz (Hz = 1/sec)
λ = 0.157785504 meters

Note: the unit is important, since wavelength uses length units.