Life & Death of Stars — Quick Summary

Mr Toogood's Physics · Astrophysics

AQA 3.9.2.6
R_s ≈ 2GM/c²
Schwarzschild radius
v_esc > c
Black hole condition
p+e→n+ν_e
Neutron star formation
ρ≈10¹⁷ kg m⁻³
Neutron star density

Formation & the main sequence

Diagram of the life cycle of low mass and high mass stars

Both paths start the same way, then diverge based on mass.

  • A nebula collapses under gravity → protostar heats up.
  • If T reaches ~10⁷ K, fusion ignites (proton-proton chain, H→He, ~25 MeV released) → hydrostatic equilibrium → joins the main sequence (≈90% of a star's life).
  • Insufficient mass to ignite fusion → becomes a brown dwarf instead.

Low-mass stars (<6 M☉): the Sun's fate

  • H fuel runs out → core collapses & heats to ~10⁸ K → He fusion begins (triple-alpha → carbon) → outer layers expand → red giant.
  • He exhausted → outer layers shed as a planetary nebula.
  • Core remains as a white dwarf (Earth-sized, ρ≈10⁹ kg m⁻³, held up by electron degeneracy pressure) → slowly cools to a black dwarf over tens of billions of years.

High-mass stars: supernova & remnants

  • After the red supergiant phase, successive fusion rounds (C, Ne, Mg, Si...) build an onion-layered star around an iron core — iron can't release net energy by fusing.
  • Core collapses catastrophically; infalling gas rebounds off the dense core → Type II supernova (rapid rise in absolute magnitude, briefly rivalling the full moon).
  • Remnant becomes either a neutron star or a black hole, depending on the leftover mass.

Neutron stars & pulsars

p + e → n + ν_e
  • Neutron degeneracy pressure halts collapse; density ≈10¹⁷ kg m⁻³ (nuclear density) — a 1.4 M☉ neutron star is only ~10 km across.
  • Rapid spin (angular momentum conservation) + intense magnetic field → beamed radio emission. If the beam sweeps past Earth, it's observed as a regular pulsar.

Black holes

Diagram of the warped space and event horizon around a black hole

The event horizon is a boundary, not a point.

Core mass >~10 M☉ → even neutron degeneracy pressure fails → collapse to a singularity. The event horizon is the boundary where escape velocity = c; its radius is the Schwarzschild radius, R_s≈2GM/c².

Supermassive black holes (millions of M☉) sit at galaxy centres (e.g. Sagittarius A*). Actively feeding ones form a hot accretion disc — seen as a quasar.

Exam essentials

Key equations & values

  • R_s≈2GM/c²
  • p+e→n+ν_e
  • White dwarf ρ≈10⁹ kg m⁻³; neutron star ρ≈10¹⁷ kg m⁻³

Path by mass

  • <6 M☉: red giant → planetary nebula → white dwarf.
  • >8–10 M☉: supergiant → Type II SN → neutron star or black hole.

Common slips

  • Event horizon is a boundary, not a point or single distance.
  • Don't add unrequested black-hole detail beyond what's asked — extra unsupported claims can cost marks.
  • Watch mass multipliers carefully (e.g. "60 million solar masses") when using the data booklet's solar mass value.