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In: Physics

What are the speed of recession, in kilometers per second, and redshift of a galaxy that...

What are the speed of recession, in kilometers per second, and redshift of a galaxy that is a distance of 183 megaparsecs (Mpc) away? Speed of recession? Redshift?

Expert Solution

By Hubble's law, the speed of recession of a galaxy relative to an observer is proportional to its distance from the observer.

The proportionality constant is the Hubble's constant with value , which says that if a galaxy is a one megaparsec away, its speed of recession will be .

Since the galaxy in the question is at a distance of , its recession speed

Thus the speed of the galaxy .

Since the galaxy is moving away from us, the light (or radiation, in general) will be redshifted.

If is the frequency of radiation emitted by the galaxy and is the observed frequency of radiation from the galaxy, then the relativistic Doppler shift formula gives:

where is the speed of the galaxy. Plugging in the values in metre per second gives the following.

Redshift is defined as

Thus the redshift of the galaxy is %.

genius_generous answered 3 years ago

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