An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life of 2 days. If the radiation is measured

Question

An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life of 2 days. If the radiation is measured to be eight times the maximum permissible level, how much time must elapse before the room is safe to enter?

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Thanh Thu 7 months 2021-07-22T02:09:05+00:00 1 Answers 9 views 0

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    2021-07-22T02:10:41+00:00

    Answer:

    6 days

    Explanation:

    We are given that

    Half life,t=2 days

    We have to find the time must elapse before the room is safe to enter.

    Let maximum permissible level=N_0

    Radiation,N=8N_0

    Let n be the number of half cycle

    \frac{N}{N_0}=2^n

    \frac{8N_0}{N_0}=2^n

    8=2^n

    2^3=2^n

    n=3

    Time must elapse before the room is safe to enter=3t=3\times 2=6days

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