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Nuclear Radiation

Nuclear equations and investigating gamma absorption

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  • Papers 2 and 3

Overview

Recall questions on which quantities balance, writing alpha and beta-minus equations, the lead absorption experiment and its graph, and half-value thickness.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

For carbon-14's beta-minus decay, give the nuclear equation, name what is emitted besides the electron, and say why the source–detector distance must stay constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Uranium-238 decays by alpha emission to thorium. What is the nuclear equation?

    Model answer

    ²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He.

  2. 2

    Carbon-14 decays by beta-minus emission to nitrogen. What is the nuclear equation?

    Model answer

    ¹⁴₆C → ¹⁴₇N + ⁰₋₁e, together with an electron antineutrino.

  3. 3

    How would you investigate the absorption of gamma radiation by lead?

    Model answer

    With the background count rate measured first, place a gamma source a fixed distance from a Geiger–Müller tube and record the count over a fixed time with lead absorbers of increasing thickness placed between them, correcting each reading for background.

  4. 4

    Why must the distance between the gamma source and the detector be kept the same throughout that investigation?

    Model answer

    Intensity falls off with distance, so a change in separation would alter the count rate and mask the effect of the lead.

  5. 5

    What graph would you plot from gamma absorption results to obtain a straight line, and what does its gradient give?

    Model answer

    Plotting the natural logarithm of the corrected count rate against absorber thickness gives a straight line whose gradient is the negative of the attenuation coefficient.

  6. 6

    Why does the corrected count rate never fall to zero, however much lead is used?

    Model answer

    Gamma absorption is exponential, so each extra thickness of lead removes a fixed fraction rather than a fixed amount, and some photons always get through.

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