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31. We apply Eq. 3833 for the Doppler shift in wavelength:
∆
λ
λ
=
v
c
where
v
is the recessional speed of the galaxy. We use Hubble’s law to Fnd the recessional speed:
v
=
Hr
,where
r
is the distance to the galaxy and
H
is the Hubble constant (19
.
3
×
10
−
3
m
s
·
ly
). Thus,
v
=[19
.
3
×
10
−
3
m
s
·
ly
](2
.
40
×
10
8
ly) = 4
.
63
×
10
6
m
/
sand
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 Fall '08
 SPRUNGER
 Physics

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