Answer: 653.011Mpc
Explanation:
Hubble deduced that the farther the galaxy is, the more redshifted it is in its spectrum, and noted that all galaxies are "moving away from each other with a speed that increases with distance", and enunciated the now called Hubble–Lemaître Law.
This is mathematically expressed as:
(1)
Where:
is the approximate recession velocity of the galaxy
is the current Hubble constant
is the galaxy's distance
On the other hand, the equation for the Doppler shift is:
(2)
Where:
is the wavelength for the Ha line of the galaxy observed at rest
is the variation between the measured wavelength for the Ha emission line in the spectrum of this galaxy (
in this case) and the wavelength for the same Ha line observed at rest
is the speed of light
Rewriting (2):
(3)
Isolating :
(4)
Finding :
(5)
(6)
Substituting in (1):
(7)
Finding :
(8)
Finally:
(8) This is the galaxy's distance