Use the relativistic Doppler formula for light emitted

eit32
Messages
21
Reaction score
0
6) Using Hubble’s law, estimate the wavelength of the 590 nm sodium line emitted from galaxies (a) 2*10^6 lightyears away from Earth, (b) 2*10^8 lightyears away, and (c) 2*10^9 lightyears away.
** Use the relativistic Doppler formula for light emitted from a receding source)
 
Physics news on Phys.org
You should probably post an attempt at solving..

Start by using Hubble's law to find the recession velocity at each distance then use the relativistic doppler formula to find the wavelength shift for each.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
Back
Top