A certain radioactive isotope has a half life of one hour. I you start with 1.0 g of the material at 1:00 P. M. 0.5 grams will be present at 2:00 P.M. on the same day.
Half life is the amount of time required to reduce to one half of its initial value. The symbol of half life is [tex]t_{1/2}[/tex].
It is expressed as:
[tex]N_{t} = N_{0} (\frac{1}{2})^{n}[/tex]
where,
N(t) = quantity remaining
N₀ = initial quantity
n = half life that have passed
Now put the values in above expression we get
[tex]N_{t} = 1.0\ g \times (\frac{1}{2})^{1}[/tex]
= [tex]\frac{1}{2} g[/tex]
= 0.5 gram
Thus from the above conclusion we can say that A certain radioactive isotope has a half life of one hour. I you start with 1.0 g of the material at 1:00 P. M. 0.5 grams will be present at 2:00 P.M. on the same day.
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