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JEE Advanced 2016 · Paper 2, Physics question 2

An accident in a nuclear laboratory resulted in deposition 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?

Choose one option
Answer and worked solution

Official answer: C

The activity must fall by a factor of 64=2664=2^6, which takes 6 half-lives:
6×18=108 days.6\times18=108\text{ days}.

(C)