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A radio wave is a sine wave.
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The formula of a radio wave is: 300/Frequency in MHz=Wavelength in Meters
As you can see by the graph a 1/4, 1/2, 3/4 and 1 wave length would resonate. Thus when receiving and or transmitting a radio wave, the radio wave length is important.
1.850 MHz is 162.162 meters long, that is one long radio wave! So one of my most listened to AM radio stations KODL at 1.440 MHz is 208.33 meters long. One of my favorite FM stations is KDUX-FM, The Rock of the Coast is 104.7 MHz and its radio wave is 2.865 meters long.
The higher the freqency the shorter the radio wave. Therefore the smaller antennas. A cell phone would be around 810 Mhz and its wavelength would be .37 meters, which is 14.57 inches, a quater wave length antenna would be 3.65 inches. That is just a little on wavelengths I will post a table of frequencies and their wavelenths.