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Stars & The Universe

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Notes

The Sun as a Star

  • The Sun is a **medium-sized star** at the centre of the Solar System.
  • It consists mostly of **hydrogen** and **helium**.
  • It radiates most energy in the **infrared**, **visible** and **ultraviolet** regions.
  • In the core, **nuclear fusion** converts hydrogen into helium, releasing huge energy.
  • All stable stars are powered by nuclear fusion.

Scale of the Universe

  • The **Universe** is a large collection of billions of **galaxies**.
  • A **galaxy** is a large collection of billions of **stars**.
  • The **Milky Way** is our galaxy; the Sun is one of its billions of stars.
  • Other stars in the Milky Way are much further from Earth than the Sun.
  • A **light-year** is the distance light travels in one year (≈ 9.5 × 10¹⁵ m).
  • The Milky Way's diameter is about **100 000 light-years**.

Star Formation

  • Stars form from a **nebula** (cloud of gas and dust).
  • Gravity pulls particles together to form a **protostar**; density and temperature increase.
  • When the core is hot enough, **nuclear fusion** begins → **stable star**.
  • In a stable star, inward **gravitational forces** balance outward **thermal pressure**.

Life Cycle of Low-Mass Stars (≤ 8 solar masses)

  • After stable phase: **red giant** → **planetary nebula** → **white dwarf**.
  • Red giant: hydrogen depleted, core shrinks and heats, helium fuses to carbon, outer layers expand.
  • Planetary nebula: outer layers ejected; core collapses.
  • White dwarf: hot, dense core that cools and dims over time.

Life Cycle of High-Mass Stars (> 8 solar masses)

  • After stable phase: **red supergiant** → **supernova** → **neutron star** or **black hole**.
  • Red supergiant: fuses heavier elements up to iron; core collapses and expands repeatedly.
  • Supernova: core collapses rapidly, triggering a huge explosion; heavy elements (heavier than iron) are formed.
  • Neutron star: dense remnant at the centre; if massive enough, collapses to a **black hole**.
  • Nebulae from supernovae may form new stars and planets.

Galactic Redshift

  • **Redshift** is the increase in wavelength of light from a source moving away (Doppler effect).
  • Light from distant galaxies is **redshifted** compared to hydrogen on Earth → galaxies are moving away.
  • Greater redshift means the galaxy is **further away** and **moving faster**.
  • This shows the **Universe is expanding**.

The Big Bang Theory

  • The Universe began about **14 billion years ago** from a hot, dense single point.
  • Evidence: **galactic redshift** (galaxies receding → expansion) and **cosmic microwave background radiation (CMBR)**.
  • CMBR is uniform microwave radiation from all directions, left over from the early Universe.
  • CMBR was originally high-energy gamma radiation; it has been **redshifted** as the Universe expanded.

Age of the Universe (Extended)

  • **Hubble's law**: recession speed v is proportional to distance d: v = H₀ d.
  • **Hubble constant** H₀ = 2.2 × 10⁻¹⁸ per second (current accepted value).
  • Age of Universe ≈ 1 / H₀ ≈ **13.7 billion years**.
  • Distance to galaxies measured using **redshift** and **brightness of supernovae** (standard candles).

Life cycle of low-mass and high-mass stars.

Life Cycle of StarsLow-mass starHigh-mass starStable starRed giantPlanetary nebulaWhite dwarfStable starRed supergiantSupernovaNeutron starBlack hole

Comparison of hydrogen spectra showing redshift.

Redshift of Light from a Distant GalaxySpectrum from Earth (hydrogen)Spectrum from distant galaxy (redshifted)Dark lines shift to longer wavelengths (red end)

Practice questions

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  1. 1.Which of the following is the correct definition of a galaxy?

    Easy
    • AA large collection of billions of stars
    • BA large collection of billions of planets
    • CA large collection of billions of galaxies
    • DA large collection of billions of moons
  2. 2.What is the approximate diameter of the Milky Way galaxy in light-years?

    Easy
    • A100 000 light-years
    • B1 million light-years
    • C10 000 light-years
    • D1 billion light-years
  3. 3.The Sun consists mostly of which two elements?

    Easy
    • AHydrogen and helium
    • BCarbon and oxygen
    • CNitrogen and oxygen
    • DHydrogen and carbon
  4. 4.What is the name of the force that pulls the outer layers of a star inwards during its stable phase?

    Medium
    • AGravitational force
    • BThermal pressure
    • CNuclear force
    • DElectromagnetic force
  5. 5.What is the correct order of stages in the life cycle of a star similar in mass to the Sun after the stable star phase?

    Medium
    • ARed giant, planetary nebula, white dwarf
    • BRed supergiant, supernova, neutron star
    • CPlanetary nebula, white dwarf, red giant
    • DWhite dwarf, red giant, planetary nebula
  6. 6.What does the observed redshift in the light from distant galaxies indicate?

    Medium
    • AGalaxies are moving away from Earth
    • BGalaxies are moving towards Earth
    • CGalaxies are stationary
    • DGalaxies are shrinking
  7. 7.The Hubble constant H0 is approximately 2.2 × 10⁻¹⁸ per second. A galaxy is at a distance of 1.0 × 10²³ m. What is its recessional velocity?

    Hard
    • A2.2 × 10⁵ m/s
    • B2.2 × 10⁻⁴¹ m/s
    • C4.5 × 10⁴⁰ m/s
    • D2.2 × 10⁻⁵ m/s
  8. 8.Which of the following is evidence for the Big Bang theory?

    Hard
    • AGalactic redshift and cosmic microwave background radiation
    • BThe Sun's energy from nuclear fusion
    • CThe existence of black holes
    • DThe formation of planetary nebulae

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