80 kg of a radioactive material reduces to 10 kg in 1 h . The decay constant of the material is

Question

80 kg of a radioactive material reduces to 10 kg in 1 h . The decay constant of the material is, 5.80 × 10 - 4 s - 1, 1.16 × 10 - 3 s - 1, 2.32 × 10 - 3 s - 1, 4.64 × 10 - 3 s - 1

MARKS App · Accepted Answer

Fraction of material that remains undecayed 10 80 = 1 2 1 h T 1 / 2 3 = 1 h T 1 / 2 or T 1 / 2 = 60 3 min = 20 min = 1200 s Now, λ = 0.693 T 1 / 2 = 0.693 1200 = 5.8 × 10 - 4 s - 1

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