Problema Solution
the wavelength of a wave varies inversely at its frequency. a wave with a frequency of 1000 KHz has a length of 76m what is the length of a wave with a frequency of 200 KHz?
Answer provided by our tutors
let
w = the wavelength of a wave
f = the frequency of the wave
the wavelength of a wave varies inversely at its frequency
w = k/f, where k is constant
since for f = 1000 KHz the wavelength is w = 76m if we substitute in the above formula we get
76 = k/1000 that is k = 76*1000
k = 76000
now we have the wavelength formula w = 76000/f
we need to find w = ? if f = 200 KHz
from the formula we have
w = 76000/200
w = 380 m
the wavelength is 380 m.