When the frequency of a wave is doubled, the wavelength is halved. This is because the speed of the wave remains constant, and wavelength is inversely proportional to frequency according to the equation λ = c/ν, where λ represents wavelength, c is the speed of light, and ν is frequency.
So, if the frequency is doubled, the wavelength is halved. Conversely, if the frequency is tripled, the wavelength is reduced to one-third of its original value. This relationship holds true for electromagnetic waves, including light.
To summarize:
- When frequency is doubled, wavelength is halved.
- When frequency is tripled, wavelength is reduced to one-third of its original value.