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.

a. The total time represented on the graph is equal to less than three half-lives for the B sample.

b. The A isotopes have the same half-life as the B isotopes.

c. The A isotopes have a longer half-life than the B isotopes.

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

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

f. 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.

g. The total time represented on the graph is equal to exactly three half-lives for the B sample.

h. 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

c)The A isotopes have a smaller half-life than the B isotopes.(since conc. of A falls faster)

d)The total time represented on the graph is equal to more than three half-lives for the B sample. (clearly conc of B becomes half in one time step and total time is 5 time steps)

Clearly, only c) and d) are correct.

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