Galactic Redshift (AQA A Level Physics)
Revision Note
Galactic Redshift
When spectral lines from a distant galaxy are redshifted, this means:
The lines have shifted towards a longer wavelength, or towards the red end of the spectrum
This shift can be observed by comparing the spectra from the distant galaxy to a spectrum produced by a nearby object, such as our Sun, or a laboratory sample
Comparing the light spectrum produced by the Sun with light from a distant galaxy
An Expanding Universe
After the discovery of redshift, astronomers began to realise that almost all the galaxies in the Universe are receding
This led to the idea that the space between the Earth and the galaxies must be expanding
This expansion stretches out the light waves as they travel through space, shifting them towards the red end of the spectrum
The expansion of the Universe can be compared to dots on an inflating balloon
As the balloon is inflated, the dots all move away from each other
In the same way, as the rubber stretches when the balloon is inflated, space itself is stretching out between galaxies
Just like the dots, the galaxies move away from each other, however, they themselves do not move
Another observation from looking at the light spectra produced by distant galaxies is that the greater the distance to the galaxy, the greater the redshift
This means that the greater the degree of redshift, the faster the galaxy is moving away from Earth
The further a galaxy is from Earth, the greater its redshift tends to be
The furthest galaxies appear to be redshifted the most and are receding the fastest
Worked Example
The spectra below show dark absorption lines against a continuous visible spectrum.
A particle line in the spectrum of light from a source in the laboratory has a frequency of 4.570 × 1014 Hz.
The same line in the spectrum of light from a distant galaxy is observed to have a frequency of 4.547 × 1014 Hz.
Calculate the speed of the distant galaxy, and state whether it is moving towards or away from the Earth.
Answer:
Step 1: Write down the known quantities
Observed frequency, = 4.547 × 1014 Hz
Original frequency, = 4.570 × 1014 Hz
Change in frequency, = (4.547 – 4.570) × 1014 = –2.3 × 1012 Hz
Speed of light, = 3.0 × 108 m s–1
Step 2: Write down the Doppler redshift equation
Step 3: Rearrange for speed v, and calculate
= −1.5 × 106 m s–1
Step 4: Write a concluding sentence
The relative velocity is negative, so the source is moving away from the Earth
OR
The observed frequency is less than the emitted frequency (the light from a laboratory source), therefore, the source is receding, or moving away, from the Earth at 1.5 × 106 m s–1
Examiner Tips and Tricks
Keep track of the minus signs in your calculation, as this gives you information about whether the object is moving away or towards the observer.
The speed of light is given in your data booklet, you will not need to memorise this value.
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