University Physics With Modern Physics, Volume 1 (chs. 1-20), Global Edition
14th Edition
ISBN: 9781292118925
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 44, Problem 44.13DQ
To determine
To explain: Why the cosmological principle requires that
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Consider a cosmological spacetime in which the line element is given by
ds? = a²(t)(-dt + dr² + dy² + dz²),
where a(t) > 0 is the scale factor. Two light rays tangent to l = (1,1,0, 0)
and l = (1,0, 1,0) are received at time t =
u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond-
ing images.
to by someone with 4-velocity
Consider a cosmological spacetime in which the line element is given by
ds? = a°(t)(-dt + da² + dy° + dz?),
where a(t) > 0 is the scale factor. Two light rays tangent to l4 = (1, 1, 0,0)
and = (1,0, 1,0) are received at time t = to by someone with 4-velocity
u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond-
ing images.
Name:
Hubble Distances
Redshift z parameter
The relativistic redshift is parametrized by z and given by
Δ
In terms of the scale factor,
2=
X
do - de
de
1+z=
ao
a
(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.
Astro 001 Fall 2022
Problem 02. How much smaller was the universe when this light was emitted?
U₁ = DHO
Using the redshift to measure the velocity, we find
D~
(1)
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.
(3)
ZC
Ho
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.
Chapter 44 Solutions
University Physics With Modern Physics, Volume 1 (chs. 1-20), Global Edition
Ch. 44.1 - Each of the following particles can be exchanged...Ch. 44.2 - Prob. 44.2TYUCh. 44.3 - From conservation of energy, a particle of mass m...Ch. 44.4 - Prob. 44.4TYUCh. 44.5 - Prob. 44.5TYUCh. 44.6 - Is it accurate to say that your body is made of...Ch. 44.7 - Prob. 44.7TYUCh. 44 - Prob. 44.1DQCh. 44 - Prob. 44.2DQCh. 44 - When they were first discovered during the 1930s...
Ch. 44 - The gravitational force between two electrons is...Ch. 44 - Prob. 44.5DQCh. 44 - Prob. 44.6DQCh. 44 - Prob. 44.7DQCh. 44 - Prob. 44.8DQCh. 44 - Prob. 44.9DQCh. 44 - Does the universe have a center? Explain.Ch. 44 - Prob. 44.11DQCh. 44 - Prob. 44.12DQCh. 44 - Prob. 44.13DQCh. 44 - Prob. 44.1ECh. 44 - Prob. 44.2ECh. 44 - Prob. 44.3ECh. 44 - Prob. 44.4ECh. 44 - Prob. 44.5ECh. 44 - Prob. 44.6ECh. 44 - Prob. 44.7ECh. 44 - An electron with a total energy of 30.0 GeV...Ch. 44 - Deuterons in a cyclotron travel in a circle with...Ch. 44 - The magnetic field in a cyclotron that accelerates...Ch. 44 - Prob. 44.11ECh. 44 - Prob. 44.12ECh. 44 - Prob. 44.13ECh. 44 - Prob. 44.14ECh. 44 - Prob. 44.15ECh. 44 - Prob. 44.16ECh. 44 - Prob. 44.17ECh. 44 - Prob. 44.18ECh. 44 - What is the mass (in kg) of the Z0? What is the...Ch. 44 - Prob. 44.20ECh. 44 - Prob. 44.21ECh. 44 - Prob. 44.22ECh. 44 - Prob. 44.23ECh. 44 - Prob. 44.24ECh. 44 - Prob. 44.25ECh. 44 - Prob. 44.26ECh. 44 - Prob. 44.27ECh. 44 - Prob. 44.28ECh. 44 - Prob. 44.29ECh. 44 - Prob. 44.30ECh. 44 - Prob. 44.31ECh. 44 - Prob. 44.32ECh. 44 - Prob. 44.33ECh. 44 - Prob. 44.34ECh. 44 - Prob. 44.35ECh. 44 - Prob. 44.36ECh. 44 - Prob. 44.37ECh. 44 - Prob. 44.38ECh. 44 - Prob. 44.39PCh. 44 - Prob. 44.40PCh. 44 - Prob. 44.41PCh. 44 - Prob. 44.42PCh. 44 - Prob. 44.43PCh. 44 - Prob. 44.44PCh. 44 - Prob. 44.45PCh. 44 - Prob. 44.46PCh. 44 - Prob. 44.47PCh. 44 - Prob. 44.48PCh. 44 - Prob. 44.49PCh. 44 - Prob. 44.50PCh. 44 - Prob. 44.51PCh. 44 - The K0 meson has rest energy 497.7 MeV. A K0 meson...Ch. 44 - DATA While tuning up a medical cyclotron for use...Ch. 44 - Prob. 44.54PCh. 44 - Prob. 44.55PCh. 44 - Consider a collision in which a stationary...Ch. 44 - Prob. 44.57PPCh. 44 - Prob. 44.58PPCh. 44 - Prob. 44.59PP
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