Radioactive Decay ની ગણતરી કેવી રીતે કરવી
Radioactive Decay શું છે?
Radioactive decay follows exponential decay law. The decay rate depends on the decay constant and the number of remaining nuclei.
સૂત્ર
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)
પગલું દ્વારા પગલું માર્ગદર્શિકા
- 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
ઇનપુટ
N₀ = 1 mol (6.022 × 10²³), λ = 0.693/5730 yr⁻¹ (¹⁴C), t = 5730 yr
પરિણામ
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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