Q1T.7 In a specific non-dispersive medium, a sinusoidal wave's angular frequency is proportional to its wavenumber....
Q1T.7 In a specific non-dispersive medium, a sinusoidal wave's angular frequency is proportional to its wavenumber. True or False?
Can you please explain why.
Homework Answers
as we know
f = c/ L
1/L = f/c
also wave number
k = 2pi (1/ L)
k = 2pi * f / c
k = ( 2 pi / c) f...(i)
now angular frequency
w = 2 pi f
f = w/ (2pi)
putting in (i)
k = (1/c) w
so, wave number(k) is directly proportional to angular frequency (w)
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