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N₁ = N₀e^(-λt), N₁ = 1/3N₀.
- N₀/3 = N₀e^(-λt₂)
- 1/3 = e^(-λt₂)
- N₂ = 2/3N₀
- N₁ = N₀e^(-λt)
Correct answer: 1/3 = e^(-λt₂)
Solution
The equation N₁ = N₀e^(-λt) represents radioactive decay. Substituting N₁ = 1/3N₀ into the equation gives 1/3 = e^(-λt), which matches option B.
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