The correct answer for this question will be option D.
Calcium-41 = 3.12×[tex]10^8[/tex] atoms
Potassium-41 = 4.69×[tex]10^9[/tex] atoms
As stated in the question,
Half life of isotope of Ca-14 which decays into K-14 = 1.03 × [tex]10^5[/tex] years
Therefore, after 1.03 × [tex]10^5[/tex] years (1 half life)
Ca-41 will be 50%
and, K-41 will be 50%
After 2.06 × [tex]10^5[/tex] years (2 half lives)
Ca-41 will be 25%
K-41 will be 75%
After 3.09 × [tex]10^5[/tex] years (3 half lives)
Ca-41 will be 12.5%
K-41 will be 87.5%
After 4.12 × [tex]10^5[/tex] years (4 half lives)
Ca-41 will be 6.25%
K-41 will be 93.75%
After 4.12 × [tex]10^5[/tex] years,
Ca-41 = 6.25/100 × 5×[tex]10^9[/tex]
= 3.12 × [tex]10^8[/tex] atoms
K-41 = 93.75/100 × 5×[tex]10^9[/tex]
= 4.69 × [tex]10^9[/tex] atoms
Therefore, option D is correct.
Learn more about half-lives here:
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