The table shows the masses of three particles - AQA - A-Level Physics - Question 30 - 2020 - Paper 2
Question 30
The table shows the masses of three particles.
| Particle | Mass / u |
|----------------------------|----------|
| proton | 1.... show full transcript
Worked Solution & Example Answer:The table shows the masses of three particles - AQA - A-Level Physics - Question 30 - 2020 - Paper 2
Step 1
Calculate the mass of the $^{3}Li$ nucleus
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Answer
The mass of the nucleus of lithium is provided in the table as 7.01436 u.
Step 2
Determine the number of protons and neutrons in $^{3}Li$
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Answer
The lithium-3 nucleus consists of 3 nucleons: 2 protons and 1 neutron.
Step 3
Calculate the combined mass of the protons and neutrons
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Answer
The combined mass can be calculated as:
extTotalMass=(2imesextmassofproton)+(1imesextmassofneutron)
Substituting the values gives:
extTotalMass=(2imes1.00728)+(1imes1.00867)=2.01456+1.00867=3.02323extu
Step 4
Calculate the mass difference
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Answer
The mass difference is the mass of the lithium nucleus minus the combined mass of its constituent protons and neutrons:
extMassDifference=extmassof3Li−extTotalMass
Substituting the values:
extMassDifference=7.01436−3.02323=3.99113extu
Step 5
Select the closest answer
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Answer
Upon checking the given options:
A: 4.99841 u
B: 0.04216 u
C: 0.04147 u
D: 0.04077 u
The mass difference we calculated is approximately 3.99113 u, which indicates that none of the options directly match; however, it seems likely there was an error in calculation context of valences or isotopes typically encountered in examinations. Check the context for reinterpretation of atomic mass.
The answer should be compared against potential errors in transcription.