For a radioactive material, its activity A and rate of change of its activity R are defined as A=−dNdt and R=−dAdt, where N(t) is the number of nuclei at time t. Two radioactive sources P (mean life τ) and Q (mean life 2τ) have the same activity at t=0. Their rates of change of activities at t=2τ are RP and RQ, respectively, If RPRQ=ne, then the value of n is ____.

For a radioactive material, its activity A and rate of change of its a

1.	For a radioactive material, its activity A and rate of change of its activity R are defined as A=−dNdt and R=−dAdt, where N(t) is the number of nuclei at time t. Two radioactive sources P (mean life τ) and Q (mean life 2τ) have the same activity at t=0. Their rates of change of activities at t=2τ are RP and RQ, respectively, If RPRQ=ne, then the value of n is ____.
Answer» For a radioactive material, its activity $A$ and rate of change of its activity $R$ are defined as $A = \frac{- d N}{d t}$ and $R = \frac{- d A}{d t}$ , where $N (t)$ is the number of nuclei at time $t$ . Two radioactive sources $P$ (mean life $τ$ ) and $Q$ (mean life $2 τ$ ) have the same activity at $t = 0$ . Their rates of change of activities at $t = 2 τ$ are $R_{P}$ and $R_{Q}$ , respectively, If $\frac{R_{P}}{R_{Q}} = \frac{n}{e},$ then the value of $n$ is ____.

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