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Physics (Old) International Baccalaureate (IB) Practice Question: The Hertzsprung-Russell (HR) diagram shows several star types. The luminosity of the Sun is L_⊙. [HR diagram image] 1....

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

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