First slide

Radio activity

Question

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

Easy

A

66.6%
B

85.5%
C

62.5%
D

75%

Solution

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

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