Calculating Radiation Dose Rate for Ra-223 at Varying Distances

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To calculate the radiation dose rate for Ra-223 at varying distances, the inverse square law is applied. The initial dose rate is 20 mSv/h at 10 micrometres. Using the formula, the dose rate at 30 micrometres is calculated as 20 mSv x (10 micrometres / 30 micrometres)², resulting in approximately 2.2 mSv/h. It is confirmed that squaring the distance ratio is necessary for accurate calculations. The final answer should be presented to one decimal place.
Dariush
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I just want to know the formula for the following question: If the dose rate from a sample of Ra-223 was found to be 20 mSv per hour at 10 micrometres, calculate the dose rate at 30 micrometres. Show your calculations. Give your answer to one decimal place.

I think it is 20 mSv x 10 micrometres / 30 micrometres, but I am not sure if I have to convert to metres or not (if not I get 6.6).

Thanks in advance! :-)
 
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If you are punctual (but at 30 micro meter It is not sure) you must applied an inverse square rule
 
Ok, I have done the calculation because I think I have to square the numbers, right? And I got 2.2222222?
 
Yes 20/9 but I m sure that you are punctual
 

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