Kalkaaliyihii Half-Life
Dhacda Radioactive: ka hesho inta ka hadhay, waqti socda ama nolosha badhtamaha, la curve dhac.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
The half-life is the time it takes for half of a radioactive sample to decay, and it sets the pace of the whole process through N = N₀ × (½)^(t / t½), where N₀ is the starting amount, t is the elapsed time and t½ is the half-life. After one half-life half the material remains, after two a quarter, after three an eighth, and so on — the amount never quite reaches zero but halves with every t½ that passes. Choose what to solve for: the amount left after a given time, the time needed to fall to a given amount, or the half-life itself inferred from a measured decay.
As a worked example, carbon-14 has a half-life of 5,730 years, so a sample that starts with 100 units of C-14 falls to 100 × (½)^(2000 / 5730) ≈ 78.5 units after 2,000 years. The calculator also reports the decay constant λ = ln2 / t½ ≈ 0.693 / t½ (the probability a given atom decays per unit time) and the mean lifetime τ = 1 / λ = t½ / ln2, which is about 1.44 half-lives — the average time an individual atom survives — and plots the decay curve.
Because the maths is scale-free, the time and the half-life only need to share the same unit — years, days, seconds or hours — and the initial and remaining amounts can be in grams, atom counts, becquerels or any consistent measure. This makes the tool equally at home with radiocarbon and radiometric dating, medical isotope dosing, nuclear-waste decay planning and any first-order exponential decay, including some drug-elimination and discharge problems that follow the same half-life mathematics.
Su'aalaha badanaa la isweydiiyo
Waa maxay formula kala qaybsanaanta nolosha nus?
Tirada ka hadhay ka dib markii waqti t waa N = N₀ × (½) ^ (t / t½). ka dib hal-nooc oo nolosha badh ka mid ah, ka dib laba afartan, ka dib saddex toban, iyo wixii la mid ah.
Maxay tahay burburka joogtada ah iyo nolosha dhexdhexaad ah?
Xawaaraha burburka waa λ = ln2 / t½ ≈ 0.693 / t½, suurtagalnimada burburka oo ah hal mar. Nolosha dhexdhexaadka ah τ = 1 / λ = t½ / ln2 waa waqtiga dhexdhexaadka ah ee atomku nool yahay - 1.44 hal-nool.
Ma heli karaa nolosha badhkeed ka laba tirakoob?
Haa. Set "kala sooc for" in nolosha badhtamaha iyo ku dar tirada hore iyo kuwa ka hadhay iyo sidoo kale waqtiga la soo dhaafay; qalabka xallinta t½ = t × ln2 / ln(N₀/N).
Sidee ayaa carbon-14 taariikhda la xiriira nolosha badh?
Carbon-14 la burburiyo la a half-life of 5,730 sano, sidaas darteed miisaanka sida badan C-14 waa ka tagay oo mid ka mid ah tusaale ahaan mar-nool taariikhaha. Ka 100 unugyada, ku saabsan 78.5 ka sii joogaan ka dib 2,000 sano, iyo in ka badan badh ka dib 5,730 — salka radiocarbon taariikhda.
Waa maxay unugyada ay waqti iyo nolosha badhkeed isticmaalaan?
Mid kasta oo ka mid ah, inta lagu jiro waqtiga socda iyo nolosha badhtamaha qayb ka mid ah. Ku dar labada sano, ama labada sano; ratio t / t½ waa wax walba oo muhiim ah, iyo natiijooyinka soo laabtay in mid ka mid ah.
Sidee badan ayaa ka soo hadhay ka dib markii qaar ka mid ah half-lifes?
Ku kordhi hal-nooc oo hal-nooc ah oo ah hal-nooc: 50% ka dib mid, 25% ka dib laba, 12.5% ka dib saddex, 6.25% ka dib afar. Toban-nooc ka dib, 0.1% ka hooseysa 0.1% ayaa sii jooga, taas oo ah sababta "ku saabsan toban-nooc oo nool" waa sharci caadi ah oo si wax ku ool ah u tagay.
Ma half-life ku xiran tahay sida wax badan ee aan ku bilowdo?
No. Waa hanti joogto ah oo isotope, madaxbannaan oo ah miisaanka tusaale, heerkulka ama xaaladda kiimikada. Haddii aad bilowdo gram ama tan, badh ka baxa si toos ah hal half-life — taas oo ah waxa ka dhigaysa saacad sida ku kalsoonaan karo.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
GET https://calculator.free/api/v1/half-life/curl
curl "https://calculator.free/api/v1/half-life/?solve=remaining&initial=100&half_life=5730&time=2000"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/half-life/?" + new URLSearchParams({
"solve": "remaining",
"initial": "100",
"half_life": "5730",
"time": "2000"
}));
const data = await r.json();
console.log(data.results);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.