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
Question 7
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
From (N=126, Z=84) to (N=125, Z=85)
From (N=125, Z=85) to (N=124, Z=86)
Capture leads to (N=125, Z=84)
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+e−→83210Tl+ue
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:
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.
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 is ideal for medical diagnosis due to its favorable properties:
Short Half-Life: 99mTc has a short half-life of about 6 hours, meaning it decays quickly, reducing patient exposure to radiation while still providing clear imaging results.
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.
Chemical Versatility: 99mTc can form various compounds, which can target different organs, allowing for tailored imaging based on specific medical needs.
These attributes make 4399mTc a highly effective and suitable radioactive source for medical diagnostics.