Te taupūtanga o te roanga-waiata me te auautanga
Ka tahuri te roanga ngaru ↔ te auautanga, kia whiwhi ai te pūngao whakaahua me te rohe matatini.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
Every wave obeys the same simple relationship: its speed equals its wavelength times its frequency, so wavelength λ = c / f and frequency f = c / λ. For electromagnetic waves in a vacuum the speed is the speed of light, c = 299,792,458 m/s (about 3 × 10⁸ m/s). Because that product is fixed, wavelength and frequency are inversely related — higher frequency always means shorter wavelength. This calculator converts either way, reports the period (T = 1 / f) and the photon energy, and names the electromagnetic band the result falls in, from radio through microwave, infrared, visible light, ultraviolet, X-ray and gamma ray.
As a worked example, an FM radio station at 100 MHz (10⁸ Hz) has a wavelength of λ = 3 × 10⁸ / 10⁸ = 3 metres — which is why FM antennas are on the order of a metre long. Green light at about 5.5 × 10¹⁴ Hz has a wavelength near 545 nm, squarely in the visible band. The tool also returns each photon’s energy from E = h × f, using Planck’s constant h = 6.62607015 × 10⁻³⁴ J·s, and shows it in both joules and electron-volts.
Higher-frequency light carries more energy per photon, which is why blue and ultraviolet light can drive chemical reactions and damage skin while radio waves cannot. You can also override the wave speed under advanced options to model waves in other media — light in glass, or sound in air — where the propagation speed differs from that of light in a vacuum. These conversions are fundamental to radio and antenna design, optics, spectroscopy and understanding the electromagnetic spectrum.
Ko nga pātai e pā ana
He pēhea te pātahitanga o te roanga ngaru me te auautanga?
E pāhono ana rātau ki te tere ngaru: λ = c / f. Ko te tikanga o te auautanga tiketike ake he roa ake te roanga ngaru, nā te mea ko to rātau hua te tere pūmau o te mārama.
He pēhea te tatau i te pūngao o te pūwhiti?
Ko te pūngao o te whakaahua E = h × f, i reira h = 6.62607015 × 10−34 J·s. He nui ake te pūngao o te mārama auau (kaurau, UV) i ia whakaahua i te mārama auau iti iho.
He aha nga whatunga o te tauine hiko?
I te raupapa o te auautanga o te auautanga: irirangi (i raro i te ~3 GHz), microwave, infrared, mārama kitea (~430–770 THz), ultraviolet, X-ray me te gamma ray. Ko ngā tapanga tātaitai e pā ana ki tōna whāinga auautanga.
Ka taea e au te whakamahi mō te oro, ngā ngaru rānei i roto i ētahi atu pāpāho?
Hei. Ka whakatū te āpure tere ngaru hōhonu ki te tere i roto i tō tātou mātauranga — tata ki te 343 m/s mō te oro i roto i te hau, tata rānei ki te 2 × 108 m/s mō te mārama i roto i te karaehe — ā, ka whakamahia e te whakawhitinga roanga-roto ↔ auautanga taua tere i te wāhi o te tere o te mārama.
He aha te wā o te ngaru?
Ko te wā te wā mō tētahi huringa katoa, T = 1/f. He wā 10⁻8 s (10 nanoseconds) te ngaru 100 MHz. Ka pūrongo te utauta i te wā i te taha o te auautanga.
He pēhea te tahuri i tētahi roanga ngaru ki roto i ngā nanomita?
E tāuru noa ana — ka tāuru ā-mātau te tātaitai i ngā hua i roto i ngā pm, nm, µm, mme te km. Ko te mārama mārama e haere ana tata ki te 400 nm (purpura) ki te 700 nm (ruana), nō reira ka tū te tāuru 545 nm i te wāhanga kākāriki o te whārangi mārama.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka pānui te papatono API katoa →
Whakamutunga
GET https://calculator.free/api/v1/wavelength-frequency/curl
curl "https://calculator.free/api/v1/wavelength-frequency/?solve=wavelength&frequency=100000000&wavelength=3"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/wavelength-frequency/?" + new URLSearchParams({
"solve": "wavelength",
"frequency": "100000000",
"wavelength": "3"
}));
const data = await r.json();
console.log(data.results);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.