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 activitites 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 activitites 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 activitites 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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