A sample of radioactive waste has a half-live of 40 years and an activity level of 4 curies. After how many years will the activ

Question

1 year ago

9

ity level of this sample be 0. 5 curies?

1 answer:

Westkost [7] · Answer 1 · 2023-09-17T16:21:25+03:00

After 160 years, the activity level of the sample will be 0.5 curies.

Half life of any radioactive waste is the half decay of that product.

The formula is $\dfrac{\lambda }{\lambda_1} = 2^\dfrac{a}{b}$

Where, λ is 4 cruies

λ1 is 0.5 cruies

b = 40 years

Putting the values in the equation

$\dfrac{4}{0.5} = 2^\dfrac{a}{40}\\\\\\\dfrac{a}{40} = 4\\ = 160 years$

Thus, the correct option is 160 years.

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