Concept explainers
If the radioactive half-life of a certain isotope is 1620 years, how much of that substance will be left at the end of 1620 years? After 3240 years?
The amount of radioactive material left after 1620 years and 3240 years.
Explanation of Solution
Introduction:
The radioactive half-life is duration in which the amount of radioactive material decayed to half of the initial amount of the radioactive material.
The amount of the radioactive material becomes half of the initial amount of the radioactive material.
The half-life of the radioactive material is 1620 years. So, the amount of radioactive material after 1620 years becomes half the initial amount of the radioactive material.
The amount of radioactive material in 1620 years become half. So, the amount of radioactive material reduces to half-of the half amount of radioactive material. The amount of radioactive material reduces one-fourth of initial amount of the radioactive material.
Conclusion:
Thus, the amount of radioactive material reduces to half in 1620 years and reduces one-fourth of initial amount of the radioactive material in 3240 years.
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