Given below are two statements Statement I: The law of radioactive… | NEET 2022 (Phase 2)

Q38NEET 2022 · PHASE 2Easy

Law of Radioactive Decay

Given below are two statements

Statement I: The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample. Statement II: The half-life of a radionuclide is the sum of the life time of all nuclei, divided by the initial concentration of the nuclei at time t = 0.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Answer: (c)

Statement I: decay law is $\frac{dN}{dt} = -\lambda N$ , so the rate is directly (not inversely) proportional to $N$ . Incorrect.
Statement II: sum of lifetimes of all nuclei divided by $N_0$ is the mean life $\tau$ , not the half-life ( $T_{1/2} = 0.693\,\tau$ ). Incorrect.
So the answer is (c) both statements are incorrect.

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Law of Radioactive Decay question from NEET 2022 (Phase 2)

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