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A nucleus of polonium $^{210}_{84}Po$ may decay to the stable isotope of lead $^{208}_{82}Pb$ through a chain of emissions following the sequence $eta^-$ decay - AQA - A-Level Physics - Question 7 - 2018 - Paper 2

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A-nucleus-of-polonium-$^{210}_{84}Po$-may-decay-to-the-stable-isotope-of-lead-$^{208}_{82}Pb$-through-a-chain-of-emissions-following-the-sequence-$eta^-$-decay-AQA-A-Level Physics-Question 7-2018-Paper 2.png

A nucleus of polonium $^{210}_{84}Po$ may decay to the stable isotope of lead $^{208}_{82}Pb$ through a chain of emissions following the sequence $eta^-$ decay. Fig... show full transcript

Worked Solution & Example Answer:A nucleus of polonium $^{210}_{84}Po$ may decay to the stable isotope of lead $^{208}_{82}Pb$ through a chain of emissions following the sequence $eta^-$ decay - AQA - A-Level Physics - Question 7 - 2018 - Paper 2

Step 1

Draw four arrows on Figure 13 to show the sequence of changes to N and Z that occur as the polonium nucleus is transformed into $^{208}_{82}Pb$.

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Answer

  1. From (N=126, Z=84) to (N=125, Z=85)
  2. From (N=125, Z=85) to (N=124, Z=86)
  3. Capture leads to (N=125, Z=84)
  4. Final transformation to (N=126, Z=82).

Step 2

Explain why there is this imbalance between proton and neutron numbers by referring to the forces that operate within the nucleus.

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Answer

More neutrons are needed to help bind protons together and increase binding energy, thus overcoming repulsion from the electromagnetic force.

Step 3

Write the equation to represent this decay, including the isotope of thallium produced.

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Answer

84210Po+e83210Tl+ue^{210}_{84}Po + e^- \rightarrow ^{210}_{83}Tl + u_e

Step 4

Explain the origin and location of two sources of this radiation.

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Answer

The sources of electromagnetic radiation emitted from the excited thallium nucleus can be explained as follows:

  1. Decay Transitions: Following electron capture, the newly formed thallium nucleus may be in an excited state. It releases energy in the form of gamma radiation as it transitions to a lower energy state, occurring within the nucleus itself.

  2. Relaxation of Atomic Electron States: When the thallium atom is initially formed in an excited state, its electrons may also drop from higher energy levels to lower ones, emitting X-rays as they transition within the electron shells around the nucleus.

Both processes result in the emission of significant electromagnetic radiation.

Step 5

Explain why the metastable form of the isotope of technetium $^{99m}_{43}Tc$ is a radioactive source suitable for use in medical diagnosis.

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Answer

The metastable form of technetium 4399mTc^{99m}_{43}Tc is ideal for medical diagnosis due to its favorable properties:

  1. Short Half-Life: 99mTc^{99m}Tc has a short half-life of about 6 hours, meaning it decays quickly, reducing patient exposure to radiation while still providing clear imaging results.

  2. Gamma Emission: It emits gamma rays, which can penetrate the body's tissues and are easily detectable by imaging technologies, making it effective for diagnostic imaging procedures without excessive damaging radiation.

  3. Chemical Versatility: 99mTc^{99m}Tc can form various compounds, which can target different organs, allowing for tailored imaging based on specific medical needs.

These attributes make 4399mTc^{99m}_{43}Tc a highly effective and suitable radioactive source for medical diagnostics.

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