Two identical samples and of a radioactive substance

PHYSICS · Single correct · CBSE · Physics · Nuclei · Nuclei

Problem

Two identical samples PP and QQ of a radioactive substance, having mean life TT, are observed to have activities APA_P and AQA_Q, respectively. If PP is older than QQ, then the difference in their ages is (1) Tln⁡(APAQ)T\ln\left(\frac{A_P}{A_Q}\right) (2) Tln⁡(AQAP)T\ln\left(\frac{A_Q}{A_P}\right) (3) T(APAQ)T\left(\frac{A_P}{A_Q}\right) (4) T(AQAP)T\left(\frac{A_Q}{A_P}\right)

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