In: Physics
A galaxy’s calcium-H line – normally located at 3968.4673 Å – is observed to have a wavelength of 4074.995 Å. How far away would you calculate this galaxy to be, in Mpc, using a Hubble’s parameter of 72.5?
106 |
||
8,047 |
||
73 |
||
111 |
||
240 |
||
None of the above is close |
Solution:-
Rest wavelength is () = 3968.4673
Observed wavelength is () = 4074.995
Hubble Constant given = 72.5 km/sec/Mpc
Now in order to get recession velocity galaxy we use doppler shift
where v is recession velocity, ? is the rest wavelength, ?? is how much the line has shifted due to the Doppler effect, c = 3×105 km/s is the speed of light.
So recession velocity is:-
By Hubble's Law-
Now substituting values of and -
So the answer is option D.