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$\mathrm{A}^{60} \mathrm{Co}$ source is labeled $4.00 \mathrm{mCi},$ but its present activity is found to be $1.85 \times 10^{7}$ Bq. (a) What is the present activity in mCi? (b) How long ago did it actually have a 4.00 -mCi activity?

a) 0.500 $\mathrm{mCi}$b) 15.8 years

Physics 103

Chapter 31

Radioactivity and Nuclear Physics

Nuclear Physics

Danny M.

May 27, 2022

How did you guys get 8 when dividing 0.500/4.00?

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part, eh? We know they had one. Millie rate is equal to 3.70 Multiply. I tend to the r seven back roads. One mentally kill re is equal to three point 70 Multiply by 10 to the power seven back riddled. Hence the current activity off the source is, uh, r f is equal to one point. It five multiplied by 10 to the power seven B girls and one point get fight. Multiply by tend to the bar. Seven back rolls is equal to 1.8 by multiply by 10 to the power seven. Uh, Bickell's divided by tree bind 70 Multiply by 10 to the power seven. Uh, back through you are Millie hearing. And this is a cool too 0.500 Millie here, Rick. All right. Now let's to part B. Well, the activity off a radioactive substances given by our is equal to, uh, Ln off two times and divided by half life on the initial activity. Our I it's equal to Ln off too times in. I divided by, um half life and initial activity is equal to for going zero Millie Curie and the final activity R f is equal to Ln off too times and divided by half life and our final activity is equal to 0.500 Millie! Carrie, Uh, no. Let's divide our f bye our I and on f divided by our eyes equal to and f divided by and I And and if you added but in I equals 0.5 00 Millie Curie divided by 4.0 Millie Caring and dividing the two numbers we have eight and it can be written is two to the power trip. And so the time spent is, uh, time spent Time spent is a t musical Do tree half lives and, uh, half life or for C o 60 uh, half life or see or 60 is equal to, um five point seven, 5.27 uh, five point 27 5.27 years and therefore the time is, uh, two equals Create into 5.27 years on dhe three times 5.27 years, 15 0.8 years hence of 15 point 15.8 years ago. Years ago the activity waas uh, the activity. The activity waas 4.0 Millie Curie

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