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AQA GCSE Physics

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(Red-shift)

The Big Bang

The Big Bang

Introduction to the Big Bang

The Big Bang theory explains the origin of the universe. It suggests that the universe began as a very small, hot, and dense point called a singularity. A singularity is a point where all matter and energy were concentrated in a very small space.

About 13.8 billion years ago, this singularity started to expand rapidly in an event known as the Big Bang. This expansion caused the universe to cool down and matter to spread out, eventually forming stars, galaxies, and planets. This means the universe is approximately 13.8 billion years old.

The Big Bang is not an explosion in space but rather an expansion of space itself, causing everything in the universe to move away from each other.

Evidence from Red-shift

One of the strongest pieces of evidence for the Big Bang comes from observing the light from distant galaxies. This light shows a phenomenon called red-shift.

Red-shift happens when the wavelength of light from an object increases, shifting the light towards the red end of the visible spectrum. This is similar to the Doppler effect, where the sound of a moving ambulance changes pitch as it moves towards or away from you.

In space, if a galaxy is moving away from Earth, the light it emits is stretched, increasing its wavelength and causing red-shift. The greater the red-shift, the faster the galaxy is moving away.

Observations show that almost all galaxies have red-shifted light, meaning they are moving away from us. This supports the idea that the universe is expanding, consistent with the Big Bang theory.

For instance, if light from a galaxy has a wavelength of 600 nm when observed on Earth, but the original wavelength emitted was 500 nm, the increase shows red-shift due to the galaxy moving away.

Cosmic Microwave Background

Another key evidence for the Big Bang is the Cosmic Microwave Background (CMB) radiation. This is faint microwave radiation detected coming from all directions in space.

The CMB is the leftover heat from the early universe, when it was hot and dense. As the universe expanded and cooled, this radiation stretched into microwaves, which we can still detect today.

The CMB is very uniform across the sky, showing that the early universe was almost the same temperature everywhere. This supports the Big Bang model and helps scientists understand the universe's early conditions.

Expansion of the Universe

The expansion of the universe is described by Hubble's Law, which states that the speed at which a galaxy moves away from us is directly proportional to its distance from us.

This means the further away a galaxy is, the faster it is moving away. This observation fits perfectly with the idea that the universe is expanding uniformly in all directions.

Hubble's Law can be written as:

v=H0×dv = H_0 \times d

where:

  • vv is the velocity of the galaxy moving away (in km/s)
  • H0H_0 is the Hubble constant (in km/s per megaparsec)
  • dd is the distance to the galaxy (in megaparsecs, Mpc)

A megaparsec (Mpc) is a unit of distance used in astronomy, equal to about 3.26 million light years.

This law shows the universe is getting larger as galaxies move away from each other over time.

For example, if a galaxy is 10 Mpc away and the Hubble constant is 70 km/s/Mpc, the galaxy's speed away from us is:

v=70×10=700 km/sv = 70 \times 10 = 700 \text{ km/s}

PracticeExample 2

Worked Example

Example: Calculate the velocity of a galaxy 15 Mpc away if the Hubble constant is 72 km/s/Mpc.

PracticeExample 3

Worked Example

Example: A galaxy is observed to have a red-shift that corresponds to a velocity of 1500 km/s. If the Hubble constant is 75 km/s/Mpc, estimate the distance to the galaxy.

PracticeExample 4

Worked Example

Example: Light from a distant galaxy has a wavelength of 660 nm when observed on Earth. The original wavelength emitted was 600 nm. Calculate the red-shift zz of the galaxy.

  • Remember that red-shift means wavelengths get longer (shifted to red), which shows objects moving away.
  • Hubble's Law links velocity and distance, helping estimate how fast galaxies move and how far they are.
  • The Cosmic Microwave Background is like a faint heat glow left over from the Big Bang, filling the universe.

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