A radio isotope has a half life of $75\ years$. The fraction of the atoms of this material that would decay in $150\ years$ will be

Question

Dr. Abubacker · Accepted Answer

(d) Number of half lives in 150 years $n = \frac{150}{75} = 2$
Fraction of the atoms decayed $= 1 - \left( \frac{1}{2} \right)^{n}$
$= 1 - \left( \frac{1}{2} \right)^{2} = \frac{3}{4} = 0.75 \Rightarrow$ Percentage decay = 75%

Q. A radio isotope has a half life of $75\ years$. The fraction of the atoms of this material that would decay in $150\ years$ will be

Explanation

Reviewed by Dr. Abubacker

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