Sinar radioaktif dilewatkan melalui bahan yang tebalnya 6 cm. Jika bahan memiliki HVL = 2 cm , maka persentase sinar radioaktif yang melewati bahan adalah
Question
Sinar radioaktif dilewatkan melalui bahan yang tebalnya 6 cm. Jika bahan memiliki HVL = 2 cm, maka persentase sinar radioaktif yang melewati bahan adalah.
Solution
1. Break Down the Problem
We need to determine the percentage of radioactive rays that pass through a material that is 6 cm thick, given that the Half-Value Layer (HVL) of the material is 2 cm.
2. Relevant Concepts
The relationship between thickness, HVL, and the intensity of radiation can be expressed using the formula:
where:
- is the intensity of the radiation after passing through the material,
- is the initial intensity of the radiation,
- is the thickness of the material,
- is the half-value layer.
3. Analysis and Detail
-
Given data:
- Thickness of the material
- Half-Value Layer
-
Plug the values into the formula to find the intensity after passing through:
-
Calculate :
This means that the intensity of the radioactive rays that passes through the material is:
4. Verify and Summarize
We find that 1/8 of the initial intensity passes through. To express this as a percentage:
Final Answer
The percentage of radioactive rays that pass through the material is 12.5%.
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