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Nuclear and particle physics

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Question 45
a.

Explain what is meant by the nuclear binding energy of a nucleus.

[2]
b.

State the value of the binding energy of a 01n^{1}_{0}\text{n}01​n nucleus (a free neutron) and suggest why it has this value.

[2]
c.

In some stars, a key fusion reaction in a helium-hydrogen burning stage is:

23He+12H→24He+11p ^{3}_{2}\text{He} + {}^{2}_{1}\text{H} \rightarrow {}^{4}_{2}\text{He} + {}^{1}_{1}\text{p} 23​He+12​H→24​He+11​p

The average nuclear binding energy per nucleon for 23He^{3}_{2}\text{He}23​He is 2.60 MeV2.60\text{ MeV}2.60 MeV, for 12H^{2}_{1}\text{H}12​H is 1.12 MeV1.12\text{ MeV}1.12 MeV and for 24He^{4}_{2}\text{He}24​He is 7.07 MeV7.07\text{ MeV}7.07 MeV.

Calculate the energy released in a single fusion event of this type, in joules.

[3]
d.

A star undergoing this reaction as its primary source of energy decreases in mass by 4.2×109 kg4.2 \times 10^9\text{ kg}4.2×109 kg every second. Under the assumption that this mass loss is solely due to this fusion process, calculate the number of these fusion events occurring in the star per second.

[3]
e.

In a different stellar fusion cycle, the following reaction occurs:

713N→613C+10β++Y ^{13}_{7}\text{N} \rightarrow {}^{13}_{6}\text{C} + {}^{0}_{1}\beta^+ + \text{Y} 713​N→613​C+10​β++Y

Identify the missing particle Y\text{Y}Y and state its electric charge.

[2]
f.

Determine the total number of down quarks present at the start of this reaction.

[2]
g.

Write down the equation for this reaction at the fundamental level in terms of quarks.

[1]
Markscheme

Nuclear and particle physics Questions

  1. A Level
  2. /Physics
  3. /Nuclear and particle physics

90 exam-style questions on OCR A A Level Physics Nuclear and particle physics, covering The nuclear atom, Fundamental particles, Radioactivity, and Nuclear fission and fusion. Each one has a worked solution and a mark scheme showing where the marks go.

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