Solve the problem.
-A certain radioactive isotope decays at a rate of 0.125% annually. Determine the half-life of this isotope, to the nearest year.
A) 241 years
B) 6 years
C) 555 years
D) 400 years

Question

Quizplus · Accepted Answer

The half-life can be calculated using the formula $ t_{1/2} = \frac{\ln(2)}{r} $, where $ r $ is the decay rate in decimal form. Here, $ r = 0.00125 $. Thus, $ t_{1/2} = \frac{\ln(2)}{0.00125} \approx 555 $ years.

Solve the Problem. -A Certain Radioactive Isotope Decays at a Rate of 0.125