Two radioactive elements and have half-lives of and respectively. Initial samples of both the elements have the same number of atoms. The ratio of the remaining number of atoms of and after is:

Question

Two radioactive elements $X$ and $Y$ have half-lives of $50$ and $100	ext{ minutes}$ respectively. Initial samples of both the elements have the same number of atoms. The ratio of the remaining number of atoms of $X$ and $Y$ after $200	ext{ minutes}$ is:

Prashant Kotian · Accepted Answer

Correct answer: C. For element , the number of half-lives elapsed in is . The remaining atoms . For element , the number of half-lives elapsed is . The remaining atoms . The ratio .

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