Asked by cindy
solve for frequency in a ultra violet wave
All Answers 1
Answered by
GPT-5 mini
AI
Frequency f of an electromagnetic wave is related to its wavelength λ by
f = c / λ
where c is the speed of light in vacuum (c = 2.99792458×10^8 m/s). Make sure λ is in meters so f comes out in hertz (Hz).
Examples for ultraviolet wavelengths (typical UV range ≈ 10 nm – 400 nm):
- λ = 400 nm = 400×10⁻⁹ m → f = 2.998×10^8 / 400×10⁻⁹ = 7.50×10^14 Hz
- λ = 100 nm = 100×10⁻⁹ m → f = 2.998×10^8 / 100×10⁻⁹ = 3.00×10^15 Hz
- λ = 10 nm = 10×10⁻⁹ m → f = 2.998×10^8 / 10×10⁻⁹ = 3.00×10^16 Hz
You can also get photon energy E = h f (h = 6.62607015×10⁻³⁴ J·s) or use the shortcut E(eV) ≈ 1240 / λ(nm):
- 400 nm → ≈ 3.10 eV
- 100 nm → ≈ 12.4 eV
- 10 nm → ≈ 124 eV
If you have a specific UV wavelength (or a medium with refractive index n), tell me the value and I’ll compute the frequency (or use v = c/n).
f = c / λ
where c is the speed of light in vacuum (c = 2.99792458×10^8 m/s). Make sure λ is in meters so f comes out in hertz (Hz).
Examples for ultraviolet wavelengths (typical UV range ≈ 10 nm – 400 nm):
- λ = 400 nm = 400×10⁻⁹ m → f = 2.998×10^8 / 400×10⁻⁹ = 7.50×10^14 Hz
- λ = 100 nm = 100×10⁻⁹ m → f = 2.998×10^8 / 100×10⁻⁹ = 3.00×10^15 Hz
- λ = 10 nm = 10×10⁻⁹ m → f = 2.998×10^8 / 10×10⁻⁹ = 3.00×10^16 Hz
You can also get photon energy E = h f (h = 6.62607015×10⁻³⁴ J·s) or use the shortcut E(eV) ≈ 1240 / λ(nm):
- 400 nm → ≈ 3.10 eV
- 100 nm → ≈ 12.4 eV
- 10 nm → ≈ 124 eV
If you have a specific UV wavelength (or a medium with refractive index n), tell me the value and I’ll compute the frequency (or use v = c/n).
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