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Given, λA = 8λ, λB = λ.
- Nₐ = Nₐ/e
- Nₐ = Nₐe^(-λAt) = Nₐe^(-8λt)
- e^(-λt) = e^(-8λt - 1)
- t = 1/7λ
Correct answer: Nₐ = Nₐe^(-λAt) = Nₐe^(-8λt)
Solution
The decay law is given by N = N₀e^(-λt). For λA = 8λ, the expression becomes Nₐ = Nₐe^(-8λt), which matches option B.
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