Absorbed Dose (SQA National 5 Physics): Revision Note

Exam code: X857 75

Leander Oates

Written by: Leander Oates

Reviewed by: Katie M

Updated on

Absorbed dose

  • Ionising radiation carries energy that can be transferred to matter when absorbed, potentially resulting in damage to biological tissues

  • The absorbed dose is defined as:

The amount of energy absorbed during radiation exposure per unit mass of tissue

  • The absorbed dose can be calculated using the following relationship:

D space equals fraction numerator space E over denominator m end fraction

  • Where:

    • D = absorbed dose, measured in grays (Gy)

      • 1 space Gy space equals space 1 space straight J space kg to the power of negative 1 end exponent

    • E = energy, measured in joules (J)

    • m = mass of tissue, measured in kilograms (kg)

  • Absorbed dose is a measure of the amount of energy deposited in the exposed tissue

  • It does not reflect the varying biological impacts of different radiation types on the body

    • The same absorbed dose from different kinds of radiation can cause different levels of biological damage

  • The potential biological harm from radiation exposure depends on:

    • the absorbed dose

    • the type of radiation

    • the specific organs or tissues affected

  • People who work with radiation, such as medical imaging or nuclear power, wear dosimeter badges to measure their absorbed dose over time

A dosimeter badge

A dosimeter badge containing photographic film that measured the absorbed dose of radiation over time
A badge containing photographic film can be used to monitor a person’s absorbed dose of radiation

Worked Example

A radiographer absorbs 4 cross times 10 to the power of negative 6 end exponent space straight J of energy per day whilst wearing a lead apron.

In one month, they work for 20 days. The mass of the radiographer is 86 kg.

Calculate the absorbed monthly dose absorbed by the radiographer.

Answer:

Step 1: Calculate the energy transferred to the radiographer in one month

  • In a month, the radiographer works for N space equals space 20 space days

  • The daily amount of energy absorbed is E subscript d a y end subscript space equals space 4 cross times 10 to the power of negative 6 end exponent space straight J

E subscript m o n t h end subscript space equals space E subscript d a y end subscript space cross times space N

E subscript m o n t h end subscript space equals space open parentheses 4 cross times 10 to the power of negative 6 end exponent close parentheses space cross times space 20

E subscript m o n t h end subscript space equals space 8 cross times 10 to the power of negative 5 end exponent space straight J

Step 2: Calculate the absorbed monthly dose

  • Mass, m space equals space 86 space kg

A space equals fraction numerator space E over denominator m end fraction

A space equals space fraction numerator 8 cross times 10 to the power of negative 5 end exponent over denominator 86 end fraction

A space equals space 9.302 cross times 10 to the power of negative 7 end exponent space Gy

Step 3: Round to an appropriate number of significant figures

  • The last precise input value was 1 s.f.

  • Therefore, the final answer can only be given to the same precision

A space equals space 9 cross times 10 to the power of negative 7 end exponent space Gy space open parentheses 1 space straight s. straight f. close parentheses

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Leander Oates

Author: Leander Oates

Expertise: Physics Content Creator

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.

Katie M

Reviewer: Katie M

Expertise: Physics Content Creator

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.