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JEE Main 2022 (27 Jul, Shift 1) · Law of Radioactive Decay

Law of Radioactive Decay question from JEE Main 2022 (27 Jul, Shift 1)

Q44JEE Main 2022 · 27 JUL · SHIFT 1Easy

Law of Radioactive Decay

What is the half-life period of a radioactive material if its activity drops to 1/161/16th of its initial value in 30 years?

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Answer: (c)

  1. 116=(12)4\frac{1}{16} = \left(\frac{1}{2}\right)^4, so 4 half-lives in 30 years.
  2. T1/2=304=7.5T_{1/2} = \frac{30}{4} = 7.5 years.
  3. So the answer is (c) 7.5 years.
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