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Annonn Annonn
wrote...
Posts: 213
Rep: 1 0
2 years ago
I'm mainly confused about the wording my assignment manual, any confirmations and help is appreciated! I can do most of the calculations myself, I just need some help understanding some of the wording better.


The notes at the bottom are for my conclusions, ignore them haha

Part A:

This is one of my instructions from my assignment:
"Locate Run 1 in the output and divide the five-minute background count by 5 to determine the background radioactivity in CPM. For each measurement, the detector will count the background radioactivity in addition to the radioactivity from the sample, so the e value of the background radioactivity must be subtracted from the measured radioactivity of each sample."
-I'm wondering do I divide each data in the Counts (CPM) column to get just the Background Radioactivity? (I don't have a column for that)
ex) 61/5 = 12.2 (I'll be using data from the first row as my examples-of-understanding for myself)


Next, in my manual, it says to "Subtract the background radioactivity from each measured radioactivity value and record this background-corrected value".
-So, just to confirm, I am using the background radioactivity I just calculated above, subtract it by the Counts (CPM), and get the background-corrected values for each distance.
ex) 12.2-61 = -48.8 (Would I keep this number negative?)


After that, I am instructed to fit my data into a "power function". I am given a power function and a rearranged version of it: Y = C/X2. I'm not sure how to use this function according to my data...Please help me understand this so I can apply it to my own data.

Then, I have to find the inverse square of the distance and the manual informs me to use: 1/distance2, and that is apparently categorized as the inverse square of distance.
ex) 1/62 = .027 (Using 0 from the first row would give me an undefined answer, so I used the second data point)


Part B:

First I am told to calculate for the "fraction of radiation passed" by using: I = f × I0 by rearranging the given formula to find f. Would that become f= I/I0? If that's the case, I'll list a few examples of further calculations using the rearranged formula:
ex) 381/381 = 1   and   313/381 = .8215

But I am given a note: "(Note: You will need to use the background-corrected radioactivity with zero layers of cardboard for each calculation (unshielded from my data))."
Would I have to copy the same instructions as Part A, where I had to basically divide 5 by the Counts (CPM)? If so, then I would have to do this calculation first, and then the one previously brought up?

ex) 381/5 = 76.2 , 76.2/76.2 = 1    and  313/5 = 62.6 , 62.6/76.2 = .8215

These are my thought possess as I go/type, but the answers would result in the same answer, but the process of achieving the answer is different. Should I keep dividing the data by 5 and divide that by the initial (76.2)?






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wrote...
Educator
2 years ago
This is one of my instructions from my assignment: "Locate Run 1 in the output and divide the five-minute background count by 5 to determine the background radioactivity in CPM. For each measurement, the detector will count the background radioactivity in addition to the radioactivity from the sample, so the e value of the background radioactivity must be subtracted from the measured radioactivity of each sample." -I'm wondering do I divide each data in the Counts (CPM) column to get just the Background Radioactivity? (I don't have a column for that) ex) 61/5 = 12.2 (I'll be using data from the first row as my examples-of-understanding for myself) Next, in my manual, it says to "Subtract the background radioactivity from each measured radioactivity value and record this background-corrected value". -So, just to confirm, I am using the background radioactivity I just calculated above, subtract it by the Counts (CPM), and get the background-corrected values for each distance. ex) 12.2-61 = -48.8 (Would I keep this number negative?) After that, I am instructed to fit my data into a "power function". I am given a power function and a rearranged version of it: Y = C/X2. I'm not sure how to use this function according to my data...Please help me understand this so I can apply it to my own data. Then, I have to find the inverse square of the distance and the manual informs me to use: 1/distance2, and that is apparently categorized as the inverse square of distance. ex) 1/62 = .027 (Using 0 from the first row would give me an undefined answer, so I used the second data point)

All of this sounds like a plan. The equation y = c / x^2 has two variables, y and x. x is the independent variable, and the distance is the independent variable since the count (2nd column) seems to depends on it.
wrote...
Educator
2 years ago
First I am told to calculate for the "fraction of radiation passed" by using: I = f × I0 by rearranging the given formula to find f. Would that become f= I/I0?

Yes:

\(f=\frac{I}{I_0}\)
wrote...
Educator
2 years ago
Would I have to copy the same instructions as Part A, where I had to basically divide 5 by the Counts (CPM)? If so, then I would have to do this calculation first, and then the one previously brought up? ex) 381/5 = 76.2 , 76.2/76.2 = 1    and  313/5 = 62.6 , 62.6/76.2 = .8215

That's a very interesting point, and I don't know how to respond to it.
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