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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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lublana

Answer:

6 days

Explanation:

We are given that

Half life,[tex]t=2 days[/tex]

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

Let maximum permissible level=[tex]N_0[/tex]

Radiation,[tex]N=8N_0[/tex]

Let n be the number of half cycle

[tex]\frac{N}{N_0}=2^n[/tex]

[tex]\frac{8N_0}{N_0}=2^n[/tex]

[tex]8=2^n[/tex]

[tex]2^3=2^n[/tex]

[tex]n=3[/tex]

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

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