A radioactive material P first decays into Q | vedclass

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(B) The radioactive decay process is given by $P \rightarrow Q \rightarrow R$. $1$. The mass of the parent radioactive material $P$ decreases exponent

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(B) The radioactive decay process is given by $P \rightarrow Q \rightarrow R$. $1$. The mass of the parent radioactive material $P$ decreases exponentially with time according to the law of radioactive decay: $N_P(t) = N_0 e^{-\lambda_1 t}$. $2$. The intermediate material $Q$ is produced by the decay of $P$ and simultaneously decays into $R$. Initially,the amount of $Q$ is zero,then it increases as $P$ decays,reaches a maximum value,and finally decreases as it decays into $R$. $3$. The non-radioactive material $R$ is the final product. Its amount starts from zero and increases over time as $Q$ decays,eventually approaching a constant value as all of $P$ and $Q$ are converted into $R$. Comparing these characteristics with the given options,figure $B$ correctly represents the decay chain $P \rightarrow Q \rightarrow R$,where $P$ decays exponentially,$Q$ shows a peak,and $R$ increases to a stable value.

$A$ radioactive material $P$ first decays into $Q$ and then $Q$ decays to non-radioactive material $R$. Which of the following figures represents the time-dependent mass of $P$,$Q$,and $R$?

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