JEE Advanced 2015 Paper 2 Physics Q5

Physics · Nuclei & Radioactivity

Problem

For a radioactive material, its activity AA and rate of change of its activity RR are defined as A=−dN/dtA=-dN/dt and R=−dA/dtR=-dA/dt, where N(t)N(t) is the number of nuclei at time tt. Two radioactive sources PP (mean life τ\tau) and QQ (mean life 2τ2\tau) have the same activity at t=0t=0. Their rates of change of activities at t=2τt=2\tau are RPR_P and RQR_Q, respectively. If RP/RQ=n/eR_P/R_Q=n/e, then the value of nn is

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