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N = N₀e^−λt. Here, t = 5 minutes. N₀ = N₀e^−5λ.

  1. λ = 0.1
  2. λ = 0.2
  3. λ = 0.3
  4. λ = 0.4

Correct answer: λ = 0.2

Solution

The equation N₀ = N₀e^−5λ simplifies to e^−5λ = 1, which implies −5λ = 0. Solving for λ gives λ = 0.2.

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