Radioactive Decay ची गणना कशी करावी
Radioactive Decay म्हणजे काय?
Radioactive decay follows exponential decay law. The decay rate depends on the decay constant and the number of remaining nuclei.
सूत्र
The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
- N
- N₀ × e^(-λt) or A(t) = A₀ × e^(-λt) — N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
- A
- A₀ × e^(-λt) — A₀ × e^(-λt)
चरण-दर-चरण मार्गदर्शक
- 1Enter initial activity or mass, decay constant (or half-life), and elapsed time
- 2The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
- 3Results show remaining nuclei or activity
Worked Examples
इनपुट
N₀ = 1 mol (6.022 × 10²³), λ = 0.693/5730 yr⁻¹ (¹⁴C), t = 5730 yr
परिणाम
N ≈ 0.5 mol (50%)
One half-life
Common Mistakes to Avoid
- ✕Using decay constant instead of half-life without converting
- ✕Assuming linear decay instead of exponential
Frequently Asked Questions
Can radioactivity be accelerated or stopped?
No, decay rate is determined by nuclear physics and cannot be changed by temperature, pressure, or chemistry.
What's the difference between activity and amount?
Amount is number of nuclei (decreasing exponentially); activity is decay rate (also decreasing, at same rate).
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