Physics 9702 · AS & A Level · Mass defect and nuclear binding energy

Mass defect and nuclear binding energy — practice question

The nuclear fusion reaction that yields helium-4 from deuterium is represented by $^{2}_{1}\mathrm{H} + ^{2}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He}$.
(a)[2]

State what the mass defect of a nucleus means.

(b)[4]

Table 9.1 lists the masses of the nuclides taking part in this reaction. Calculate the energy released when $1.00$ mol of helium-4 is formed.

(c(i))[2]

The star Sirius has a radius of $1.19 \times 10^{9}\,\mathrm{m}$ and is losing mass through nuclear fusion at a rate of $1.09 \times 10^{11}\,\mathrm{kg\,s^{-1}}$. Assume that the power of the radiation emitted by the star is equal to the power released by this process. Determine the luminosity of Sirius. Include a unit in your answer.

(c(ii))[2]

Use your answer in part (c)(i) to find the surface temperature of Sirius.

(d)[3]

Explain how cosmologists use standard candles to estimate the distance of a galaxy from the Earth.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: difference between the mass of the nucleus and the mass of the (constituent) nucleons

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