There will still be 50 atoms after three half-lives. A radioactive isotope's half-life is the length of time it takes for one half of isotope to decay. A quantity is amount of time needed for it to decrease to half of its value.
A particular radioactive isotope's half-life is constant; it is unaffected by environmental factors and is unrelated to the starting concentration of that isotope. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactive. In a broader sense, the phrase is used to describe any kind of exponential decay.
After one half life :
[tex]\frac{400}{2} = 200[/tex]
After second half life:
[tex]\frac{200}{2} = 100[/tex]
After third half-life:
[tex]\frac{100}{2} = 50.[/tex]
So 50 atoms will remain.
For instance, the biological half-life of medications and other substances in the human body is discussed in medical sciences. Doubling time is the half-life's opposite.
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