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Q.

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

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a

1/4

b

3/4

c

1/8

d

7/8

answer is B.

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Detailed Solution

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$N = \frac{N_{0}}{2^{m}}$

$m = \frac{t}{t_{1 / 2}} = \frac{15}{5} = 3$

$N = \frac{N}{(2)^{3}}$

$\frac{N}{N_{0}} = \frac{1}{8}$

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