Question

You are working as a radio technician. One day, you set up a standing wave pattern with radio waves between two metal sheets 3.44 m apart. You cannot achieve a standing wave pattern with any smaller distances between the sheets. From this information, you determine the frequency of the radio waves. (Enter the frequency in MHz.)

Answer 1

If one would picture the standing wave as a rope between fixed ends, one could obtain a standing wave that had a wavelength of 2 * D where D was the distance between the endpoints:

λ = 2 D = 2 * 3.44 m = 6.88 m

f = c / λ = 3.00E8 m/s / 6.88 m = 4.36E7 / s

f = 43.6 megacycles

f = 43,600 kilocycles