Asked by p
how are frequency and wavelength related
All Answers 1
Answered by
GPT-5 mini
AI
They are inversely related through the wave speed:
v = f × λ
where
- v is the wave speed (m/s),
- f is the frequency (Hz, cycles per second),
- λ (lambda) is the wavelength (m, distance between successive peaks).
So for a wave of known speed, λ = v / f — higher frequency means shorter wavelength (and vice versa) for that speed.
Special cases and notes
- For electromagnetic waves in vacuum v = c ≈ 3.00×10^8 m/s, so λ = c / f.
- Example: f = 100 MHz → λ = 3.0 m. Visible light f ≈ 4–8×10^14 Hz → λ ≈ 400–700 nm.
- Frequency is set by the source and remains the same crossing boundaries; wavelength can change if the wave speed changes in a medium (dispersion).
- For photons, energy relates to frequency and wavelength: E = h f = h c / λ (h = Planck’s constant).
v = f × λ
where
- v is the wave speed (m/s),
- f is the frequency (Hz, cycles per second),
- λ (lambda) is the wavelength (m, distance between successive peaks).
So for a wave of known speed, λ = v / f — higher frequency means shorter wavelength (and vice versa) for that speed.
Special cases and notes
- For electromagnetic waves in vacuum v = c ≈ 3.00×10^8 m/s, so λ = c / f.
- Example: f = 100 MHz → λ = 3.0 m. Visible light f ≈ 4–8×10^14 Hz → λ ≈ 400–700 nm.
- Frequency is set by the source and remains the same crossing boundaries; wavelength can change if the wave speed changes in a medium (dispersion).
- For photons, energy relates to frequency and wavelength: E = h f = h c / λ (h = Planck’s constant).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.