The half-life of a certain radioactive substance is 6 years. What is the yearly percentage decay rate for this substance?
A) 8.54%
B) 10.91%
C) 11.18%
D) 8.33%

Question

Quizplus · Accepted Answer

The yearly percentage decay rate can be found using the formula:

r = (ln(1/2)) / t

where r is the decay rate, t is the half-life, and ln is the natural logarithm.

Substituting the given values, we get:

r = (ln(1/2)) / 6
r ≈ 0.1091 or 10.91%

Therefore, the answer is choice B, 10.91%.

The Half-Life of a Certain Radioactive Substance Is 6 Years