If the original number of atoms of a radioactive substance of half-life period
5 years is N, the number of atoms left after 15 years will be?
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Answer:
1/8
Explanation:
Total time (T)= 15 years (Given)
Half Life(T½)= 5 years (Given)
Number of half-lives that would elapse in 15 years (n) = 15÷5= 3
Fraction of radioactive material left in the sample after the passage of 15 years equal to 3 half-lives = (1/2)³
Thus, according to formula,
=N/Nó=(1/2)ⁿ
=N/Nó=(1/2)³
= 1/8 th.
Hence in 15 years the 1/8th of the substance will remain.
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