could you answer number 2?

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could you answer number 2?
2 =
Name:
closer to us, or if the resolving power of the hum
stars (located 1.3 or more parsers f
factor of 100. could h-1
Redshift z parameter
The relativistic redshift is parametrized by z and given by
Δλ
do-de
de
X
In terms of the scale factor,
Hubble Distances
(1.64-0.0656) X10-9
0.656x 10-9
2 =
ao
a
1+z=-
(2)
Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which
has been observed at a wavelength of 1.64 μm.
The redshift is 1.5
not the Earth
Problem 02. How much smaller was the universe when this light was emitted?
U, = DHO
Using the redshift to measure the velocity, we find
D~
Astro 001 Fall 2022
0.1 Hubble's Law
Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product
of the distance and the Hubble constant.
ZC
Ho
(1)
(3)
(4)
where c = 3 x 108 m/s and Ho= 2.3 x 10-18 s in standard units. The standard measurement
of the Hubble constant is Ho = 71 (km/s)/Mpc.
Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01?
1 pc = 3.26 ly.
Transcribed Image Text:2 = Name: closer to us, or if the resolving power of the hum stars (located 1.3 or more parsers f factor of 100. could h-1 Redshift z parameter The relativistic redshift is parametrized by z and given by Δλ do-de de X In terms of the scale factor, Hubble Distances (1.64-0.0656) X10-9 0.656x 10-9 2 = ao a 1+z=- (2) Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which has been observed at a wavelength of 1.64 μm. The redshift is 1.5 not the Earth Problem 02. How much smaller was the universe when this light was emitted? U, = DHO Using the redshift to measure the velocity, we find D~ Astro 001 Fall 2022 0.1 Hubble's Law Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product of the distance and the Hubble constant. ZC Ho (1) (3) (4) where c = 3 x 108 m/s and Ho= 2.3 x 10-18 s in standard units. The standard measurement of the Hubble constant is Ho = 71 (km/s)/Mpc. Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01? 1 pc = 3.26 ly.
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