If a wave is traveling at a certain speed and you cut its frequency in half, what happens to the wavelength?

1 Answer
Mar 24, 2017

It doubles.


Wavelength formula is c = λf or λ = c/f or f = c/λ,

so Frequency = Velocity divided by wavelength, where
c is the velocity, which is the speed of light: 3.00 × 10^8 m/sec
λ is the wavelength in meters
f is the frequency in Hertz (cycles per second)

Therefore, if you halve the frequency the wavelength will double.

λf = (2λ)(f/2) = c