# 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.

#### Explanation:

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 = (2*λ)*(f/2) = c