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The table shows the masses of three particles - AQA - A-Level Physics - Question 30 - 2020 - Paper 2

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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 lithium nucleus

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Answer

The mass of the lithium nucleus 3Li^3Li is given as 7.01436 u.

Step 2

Calculate the total mass of constituent protons and neutrons

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Answer

The lithium nucleus contains 3 protons and 4 neutrons. Thus, the total mass is calculated as:

extTotalMass=(3imes1.00728)+(4imes1.00867) ext{Total Mass} = (3 imes 1.00728) + (4 imes 1.00867)

Calculating this:

extTotalMass=3.02184+4.03468=7.05652extu ext{Total Mass} = 3.02184 + 4.03468 = 7.05652 ext{ u}

Step 3

Determine the mass difference

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Answer

The mass difference can now be calculated as:

extMassDifference=extTotalMass−extMassof3Li ext{Mass Difference} = ext{Total Mass} - ext{Mass of } ^3Li

Substituting the values:

extMassDifference=7.05652−7.01436=0.04216extu ext{Mass Difference} = 7.05652 - 7.01436 = 0.04216 ext{ u}

Step 4

Select the correct answer from the options

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Answer

The mass difference of a 3Li^3Li nucleus is 0.04216 u, which corresponds to option B.

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