Question

if a radioactive material has a half-life of 2 years, a sample is reduced to 1/8 of its mass in?

Answer 1

if a radioactive material has a half-life of 2 years, a sample is reduced to 1/8 of its mass in?

According to the law of radioactive decay

$$N = 2 ^ {- \frac {t}{T}} = \frac {1}{8} \gg t = - \mathrm {T} \log_ {2} \frac {1}{8} = \mathrm {T} \log_ {2} 8 = 3 T = 6 \mathrm {y e a r s}$$