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JEE Main 2023 (15 Apr, Shift 1) · Law of Radioactive Decay

Law of Radioactive Decay question from JEE Main 2023 (15 Apr, Shift 1)

Q28JEE Main 2023 · 15 APR · SHIFT 1Easy

Law of Radioactive Decay

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

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Answer: (c)

  1. n=155=3n = \frac{15}{5} = 3 half-lives.
  2. Remaining =18= \frac{1}{8}, so decayed =1−18=78= 1 - \frac{1}{8} = \frac{7}{8}.
  3. So the answer is (c) 78\frac{7}{8}.
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