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(B) The activity $R$ of a radioactive substance at any time $t$ is given by the law of radioactive decay: $R(t) = R_0 e^{-\lambda t}$,where $R_0$ is t

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$R_1 = R_2 e^{\lambda(t_2 - t_1)}$

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(B) The activity $R$ of a radioactive substance at any time $t$ is given by the law of radioactive decay: $R(t) = R_0 e^{-\lambda t}$,where $R_0$ is the initial activity at $t = 0$.For time $t_1$,the activity is $R_1 = R_0 e^{-\lambda t_1}$.For time $t_2$,the activity is $R_2 = R_0 e^{-\lambda t_2}$.Dividing the two equations: $\frac{R_1}{R_2} = \frac{R_0 e^{-\lambda t_1}}{R_0 e^{-\lambda t_2}} = e^{-\lambda t_1 + \lambda t_2} = e^{\lambda(t_2 - t_1)}$.Therefore,$R_1 = R_2 e^{\lambda(t_2 - t_1)}$.

The activity of a radioactive substance is $R_1$ at time $t_1$ and $R_2$ at a later time $t_2$. Its decay constant is $\lambda$. Which of the following relations is correct?

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