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    The Hertzsprung-Russell (HR) diagram shows several star types. The luminosity of the Sun is L_⊙. [HR diagram image]

    Question
    SLPaper 3

    The Hertzsprung-Russell (HR) diagram shows several star types. The luminosity of the Sun is L_⊙. [HR diagram image]

    1.

    Identify, on the HR diagram, the position of the Sun. Label the position S.

    [1]
    Verified
    Solution

    the fusion of hydrogen in the core eventually stops OR core contracts ✔ the hydrogen in a layer around the core will begin to fuse ✔ Sun expands AND the surface cools ✔ helium fusion begins in the core ✔ Sun becomes more luminous/brighter ✔

    2.

    Suggest the conditions that will cause the Sun to become a red giant.

    [2]
    Verified
    Solution

    electron degeneracy <> ✔

    3.

    Outline why the Sun will maintain a constant radius after it becomes a white dwarf.

    [1]
    Verified
    Solution

    «use of L=σAT4L=\sigma A T^4L=σAT4 » 10−4104=(RDRG)2×(100003000)4✔\frac{10^{-4}}{10^{4}}=(\frac{R_\mathrm{D}}{R_\mathrm{G}})^2 \times (\frac{10000}{3000})^4 ✔10410−4​=(RG​RD​​)2×(300010000​)4✔ \frac{R_\mathrm{D}}{R_\mathrm{G}}}=9 \times 10^{-6}

    4.

    During its evolution, the Sun is likely to be a red giant of surface temperature 3000 K and luminosity 10^4 L_⊙. Later it is likely to be a white dwarf of surface temperature 10000 K and luminosity 10^-4 L_⊙. Calculate the (radius of the Sun as a white dwarf)/(radius of the Sun as a red giant).

    [2]
    Verified
    Solution

    «use of L=σAT4L=\sigma A T^4L=σAT4 » 10−4104=(RDRG)2×(100003000)4✓\frac{10^{-4}}{10^{4}}=\left(\frac{R_\mathrm{D}}{R_\mathrm{G}}\right)^{2} \times\left(\frac{10000}{3000}\right)^{4} \checkmark10410−4​=(RG​RD​​)2×(300010000​)4✓ RDRG=9×10−6\frac{R_\mathrm{D}}{R_\mathrm{G}}=9 \times 10^{-6}RG​RD​​=9×10−6

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    Related topics

    D.1 – Stellar quantitiesD.2 – Stellar characteristics and stellar evolution

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