Question

The half-life of a certain radioactive isotope is 32 hours. What fraction of the sample would remain after 16 huors?
0.50
0.25
0.62
0.71

Answer 1

Answer on question #59097, Physics / Atomic and Nuclear Physics

Question The half-life of a certain radioactive isotope is 32 hours. What fraction of the sample would remain after 16 huors?

0.50

0.25

0.62

0.71

Solution This fraction is

$e^{-\frac{t}{r}}=e^{\frac{16}{32}}=\frac{1}{\sqrt{e}}\approx 0.61$

The answer is 0.62.