The Big Bang, Quasars & Cosmology — Quick Summary

Mr Toogood's Physics · Astrophysics

AQA 3.9.3.2
v = Hd
Hubble's law
H ≈ 65 km/s/Mpc
Range 60–70
age ≈ 1/H
≈15 billion yr
T_CMBR ≈ 2.7 K
Peak: microwave

Hubble's law & expansion

Balloon analogy showing space itself expanding and stretching light between galaxies

Redshift comes from expanding space stretching light — not galaxies moving through static space.

Hubble found recessional velocity ∝ distance:

v = Hd

H = Hubble constant ≈65 km s⁻¹Mpc⁻¹ (accepted range 60–70), found from the gradient of a v–d graph. Assuming H is constant, age ≈ 1/H ≈ 15 billion years.

Not the Doppler effect: the redshift is caused by space itself expanding as light travels through it, not by galaxies moving through fixed space.

The Big Bang theory

A smaller universe in the past means denser and hotter matter (V∝T) — implying an extremely hot, dense origin that expanded and cooled. The rival steady state theory (now discredited) proposed an eternal, unchanging universe with matter continuously created to keep density constant.

Evidence: CMBR

Black-body spectrum of the Cosmic Microwave Background Radiation

CMBR matches a black-body spectrum almost perfectly — peak in the microwave region.

Predicted (~3 K) before discovery; found accidentally by Penzias & Wilson (1964) as uniform microwave noise. Uniform to ±0.003 K across the sky → universe is homogeneous and isotropic. Originates from recombination (~100,000 yr after the Big Bang), when the universe cooled enough for atoms to form and became transparent to light.

Evidence: H/He abundance

Big Bang nucleosynthesis (t≈100 s) fused free neutrons into helium; the predicted proton:neutron ratio (~7:1) gives 12 hydrogen nuclei for every helium nucleus (3:1 by mass) — matching observation, a major success of the theory.

Dark energy

Type 1a supernova distance-redshift data showing the universe's accelerating expansion

Distant Type 1a supernovae are dimmer than expected — the expansion is accelerating.

Distant Type 1a supernovae appear dimmer than their redshift predicts, showing that the expansion is accelerating, not slowing under gravity as expected. An unknown dark energy (~68% of the universe's mass-energy) is proposed to drive this — distinct from dark matter.

Quasars

Extremely bright, compact, hugely redshifted objects powered by supermassive black holes with actively feeding accretion discs. All known quasars are very distant (and therefore ancient) — none exist locally, showing the universe has changed over time, contradicting the steady state model.

Exam essentials

Key equations

  • v=Hd
  • age≈1/H
  • H≈65 km s⁻¹Mpc⁻¹

Evidence for a hot Big Bang

  • CMBR: uniform black-body radiation, predicted and discovered.
  • H:He abundance ratio matches nucleosynthesis prediction.
  • Quasars only exist in the distant/ancient universe — none local.

Common slips

  • Cosmological redshift is not Doppler motion through space — it's the expansion of space itself.
  • Don't confuse dark energy (drives acceleration) with dark matter (holds galaxies together) — only dark energy is required for A-level.
  • Convert Mpc → m carefully using the given conversion factors.