मुफ्त अर्ध-आयु कैलकुलेटर

अर्ध-आयु (half-life) से क्षय की गणना करें। समय और अर्ध-आयु से शेष मात्रा निकालें।

शेष

12.5000

Decayed87.5000
Num Halves3.00
Pct Remaining12.50 %

सूत्र

Half-Life Formula

Formula

N(t) = N₀ × (1/2)^(t/t½)

Where:

  • N₀ = initial quantity
  • t = elapsed time
  • = half-life
  • Properties

  • After 1 half-life: 50% remains
  • After 2 half-lives: 25% remains
  • After 3 half-lives: 12.5% remains
  • After 10 half-lives: ~0.1% remains
  • हल किया गया उदाहरण

    100 units with a half-life of 5 after 15 time units.

    1. 01Number of half-lives = 15/5 = 3
    2. 02Remaining = 100 × (0.5)³
    3. 03= 100 × 0.125
    4. 04= 12.5

    अक्सर पूछे जाने वाले प्रश्न

    What is half-life?

    Half-life is the time required for a quantity to reduce to half of its initial value through decay. It is constant regardless of the starting amount.

    Does half-life ever reach zero?

    Mathematically, no. The exponential decay function asymptotically approaches zero but never reaches it. In practice, the quantity becomes negligibly small.

    What are some real half-lives?

    Carbon-14: 5,730 years. Uranium-238: 4.5 billion years. Iodine-131: 8 days. Caffeine in the human body: about 5 hours.

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