Problem

Problem

A radioactive element decays by β\beta-emission. A detector records nn beta particles in 2 s2\,\text{s} and in next 2 s2\,\text{s} it records 0.75n0.75n beta particles. Find mean life correct to nearest whole number. Given ln⁡2=0.6931\ln 2 = 0.6931, ln⁡3=1.0986\ln 3 = 1.0986. (JEE 2003)

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