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If two radioactive elements A and B have half-lives T_A and T_B, what is the ratio of their decay constants λ_A/λ_B in terms of these half-lives?
- T_B/T_A
- T_A/T_B
- (T_A + T_B)/T_A
- (T_A - T_B)/T_A
Correct answer: T_B/T_A
Solution
Decay constant lambda = ln2 / T, so lambda_A/lambda_B = T_B/T_A (inverse ratio of half-lives).
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