The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is [2023]

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Solution

Q.
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is [2023]

1 $\frac{1}{8}$

2 $\frac{1}{4}$

3 $\frac{7}{8}$

4 $\frac{3}{4}$

Ans.
(3)

$15 year = 3 half lives$

$Number of active nuclei = \frac{N_{0}}{8}$

$Number of decay = \frac{7 N_{0}}{8}$

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