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If the fraction of the atoms of a radioactive material le...

If the fraction of the atoms of a radioactive material left after 120 years is 1/64, what is the half-life of the material?

A.

24 years

B.

20 years

C.

10 years

D.

2 years

Correct answer is B

Given amount remaining = 164

= 164=1(2)6

= \frac{120 \text {years}}{6} = 20 years

\Rightarrow T\frac{1}{2} = 20 years