Consider the figure below, which shows a graph of the ratio of the number of und

Question

Consider the figure below, which shows a graph of the ratio of the number of undecayed nuclei to the initial number of undecayed nuclei for samples of two different radioactive isotopes, labeled A and B. Select all the correct statements about this situation from the list below. Note that you must select every correct statement, and no incorrect statements, to get credit for the question. The A isotopes have a longer half-life than the B isotopes. The A isotopes have a smaller half-life than the B isotopes. The total time represented on the graph is equal to exactly three half-lives for the B sample. The A isotopes have the same half-life as the B isotopes. The total time represented on the graph is equal to more than three half-lives for the B sample. The total time represented on the graph is equal to less than three half-lives for the B sample. If we start with equal numbers of radioactive nuclei in the two samples, the decay rate for the A sample is always larger than the decay rate for the B sample. If we start with equal numbers of radioactive nuclei in the two samples, the decay rate for the A sample is always smaller than the decay rate for the B sample.

Explanation / Answer

the second option is correct

that is

the A isotopes have a smaller half-life than the B iostopes.

fifth Option is correct

that is

the total represented on the graph is equal to more than three half-lives for the B sample

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