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MHT CET 2023 (14 May, Shift 2) · Law of Radioactive Decay

Law of Radioactive Decay question from MHT CET 2023 (14 May, Shift 2)

Q25MHT CET 2023 · 14 MAY · SHIFT 2Easy

Law of Radioactive Decay

Half life of radio-active element is 1600 years. The fraction of sample remains undecayed after 6400 years will be

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Answer: (a)

  1. n=64001600=4n = \frac{6400}{1600} = 4 half-lives.
  2. Undecayed fraction =(12)4=116= \left(\frac{1}{2}\right)^4 = \frac{1}{16}.
  3. So the answer is (a) 116\frac{1}{16}.
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