Is Your Friend's Radiation Exposure in Guarapari Safe Compared to UK Standards?

• Taylor_1989
In summary, the friend plans to move to the Brazilian resort of Guarapari and work as a food vendor for tourists, receiving a radiation dose of 14 µSv h-1. The average background dose in town is 2.7 mSv yr-1, so the radiation exposure on the beach would be 7.4 µSv h-1. The friend would spend 2920 hours on the beach each year, and 5840 hours total on the island, for a total of 1.8 µSv h-1. If the UK radiation exposure limit for occupational workers is 0.02 Sv, the friend would exceed this limit by 0.04 Sv.
Taylor_1989

Homework Statement

A friend tells you that she is planning to change her life by moving from the UK to the Brazilian resort of Guarapari, where she intends to make and sell food on the beach for the tourists for 8 hours a day, every day. Whilst pleased for her adventurous plan, you are a little concerned by your specialist knowledge that the radiation dose rate on the beach there is typically 14 μSv h##^{-1}##, due to exceptionally high natural background from the local sand and soil. However, the average background dose in town of 2.7 mSv year##^{-1}## is the same as the UK. Use the above information to estimate the background dose she might expect from living and working there in order to decide which of following options for cautionary advice you would give to her.

select 1
a. Your background dose will increase by a factor of 45
b. Your background dose will double
c. Your background dose will be more than double the dose limit in the UK for a person who works with radiation
d. Your background dose will increase by a factor of 10
e. Your background dose will exceed the dose limit in the UK for a person who works with radiation.

N/A

The Attempt at a Solution

I would like to know if I have followed the correct logic is answering this question?

The key points I took from the word problem are as followed

1. She is on the beach for 8hrs
2. she works 7 days a week
3. Time she is not on the beach is: 24-8=16hrs
4. Dosage per year when not on beach and in town is 2.7mSv per year

So my steps are a follows
Radiation exposure per hour when not on the beach
$$\frac{2.7\cdot 10^{-3}Sv}{1y}\cdot \frac{1y}{365d}=\frac{7.4\cdot10^{-6}Sv}{d}$$
$$\frac{7.4\cdot10^{-6}Sv}{d}\cdot \frac{1d}{24hr}=\frac{3.08\cdot 10^{-7}Sv}{hr}$$

working hours spent on beach per year
$$8 \cdot 365 = 2920hr$$

hours spent of beach per year
$$16 \cdot 365 = 5840 hr$$

Radiation exposure per year on beach
$$\frac{14 \cdot 10^{-6}}{hr} \cdot 2920hr= 0.04Sv$$

Radiation exposure per year off beach
$$\frac{3.08\cdot 10^{-7}sV}{hr} \cdot 5840hr =1.8\cdot 10^{-3}Sv$$ (rounded)

Total exposure
$$T=0.0418Sv$$

Now as radiation exposure in the Uk is $0.02Sv$ my ans is e)

Have I calculated this correctly?

Taylor_1989 said:
Have I calculated this correctly?
Yes.

As this is a multiple choice question it doesn't matter here, but in general be careful how you round where. You rounded the beach exposure to 0.04 Sv and added 0.0018 Sv. The first number with more digits is actually 0.0409 Sv - if you add the two you get 0.0427, not 0.0418. If you want to have more than one significant digit for the sum, don't round the larger number to one digit.

Taylor_1989 said:
my ans is e)
Is that based on some info re UK dose limits that you have not included in your post?
Or did you mean option b?

haruspex said:
Is that based on some info re UK dose limits that you have not included in your post?
Or did you mean option b?

The dosage is one I have read from the UK, with the number that mfb mentioned my ans should be c) as it is more than double the reccomended dosage. I was told to look up dosage or occupational worker in the Uk for this type of question and the general dosage eemed to be 20mSv or 0.02Sv

Taylor_1989 said:
The dosage is one I have read from the UK, with the number that mfb mentioned my ans should be c) as it is more than double the reccomended dosage. I was told to look up dosage or occupational worker in the Uk for this type of question and the general dosage eemed to be 20mSv or 0.02Sv
Ok.

What is radiation dosage and how is it measured?

Radiation dosage is the amount of radiation exposure an individual has received. It is measured in units called sieverts (Sv) or sometimes in millisieverts (mSv) for smaller doses.

What is the difference between external and internal radiation dosage?

External radiation dosage is received from sources outside the body, such as x-rays or gamma rays. Internal radiation dosage is received from sources inside the body, such as radioactive materials ingested or inhaled.

Radiation dosage is calculated by multiplying the radiation intensity by the amount of time exposed. This is represented by the equation D = I x t, where D is the radiation dosage in sieverts, I is the radiation intensity in sieverts per hour, and t is the time exposed in hours.

What factors can affect radiation dosage?

The factors that can affect radiation dosage include distance from the radiation source, shielding materials, type of radiation, and duration of exposure. The type of radiation can also play a role, as different types have different levels of energy and can penetrate different materials at different rates.

What are some potential health effects of exposure to high levels of radiation?

Exposure to high levels of radiation can cause immediate health effects such as radiation sickness, burns, and even death. Long-term effects can also occur, including an increased risk of developing certain types of cancer.

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