For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration o - Physics MCQ NEET (UG) 2018 2026 | ExamTest.live

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For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is:

Solution & Step-by-step Explanation

1. Initial nuclei (N_{0}) = 600 .2. Number of nuclei disintegrated = 450 .3. Remaining nuclei (N) = 600 - 450 = 150 .4. Fraction remaining \frac{N}{N _{0}} = \frac{150}{600} = \frac{1}{4} .5. We know \frac{N}{N _{0}} = (\frac{1}{2})^{n}, where n is the number of half-lives. \frac{1}{4} = (\frac{1}{2})^{n} ⟹ n = 2 6. Total time = n \times T_{1/2} = 2 \times 10 = 20 minutes .

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For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is:

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