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JEE PHYSICS MCQ: NUCLEI

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An accident in a nuclear laboratory resulted in depostion of a certain amount of radioactive material of half - life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?
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Correct option: C
108
Option C (108) is correct because the radiation needs to decay for 6 half-lives (64=2664 = 2^6) to reach a safe level, thus 18×6=10818 \times 6 = 108 days.

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