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Physics
Plutonium decays with a half-life of 24000 years. If plutonium is stored for 72000 years, the fraction of it that remains is:
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Q. Plutonium decays with a half-life of 24000 years. If plutonium is stored for 72000 years, the fraction of it that remains is:
EAMCET
EAMCET 1998
A
$ \frac{1}{2} $
B
$ \frac{1}{3} $
C
$ \frac{1}{4} $
D
$ \frac{1}{8} $
Solution:
No. of half - lives n $ n=\frac{t}{T}=\frac{72000}{24000}=3 $ From relation, $ \frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}={{\left( \frac{1}{2} \right)}^{3}}=\frac{1}{8} $