Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 25, Problem 1CLC
To determine
The redshift z-value of galaxy that has a shifted galaxy spectral line of
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The CaII H and K lines have rest wavelengths of 396.85 nm and 393.36 nm, respectively. In the spectrum of a galaxy in the cluster Abell 2065, the observed wavelengths of the two lines are 425.50 nm and 421.76 nm.
a) What is the redshift z of the galaxy?
b) What is the distance to the galaxy?
c) What is the distance modulus of the galaxy?
An observational survey of distant galaxies is undertaken that involves measuring their
distances using cepheid variables and red-shifts using spectroscopy. Explain how cepheid
variables can be used to measure the distances to galaxies.
A spectral line is observed whose wavelength in the laboratory is de
length of this spectral line observed in each galaxy, Xo, is listed in the table, along with
the distance, d, to the galaxy. Determine the red-shift and the recession velocity of each
galaxy and tabulate your results by making a copy of the table and filling in the blank spaces.
Sketch a Hubble diagram using your results and determine the value of the Hubble constant
Ho in units of km s-1 Mpc.
650 nm. The wave-
Galaxy 1
652.69
Galaxy 2 Galaxy 3 Galaxy 4 Galaxy 5
653.01
do (nm)
d (Mpc)
658.54
662.18
681.63
17
19
54
77
200
v (km s-1)
A galaxy is found to be receding at a velocity of 3.0 x 104 km-s-1. Calculate the distance to the galaxy.
Chapter 25 Solutions
Universe
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- In the Check Your Learning section of Example 27.1, you were told that several lines of hydrogen absorption in the visible spectrum have rest wavelengths of 410 nm, 434 nm, 486 nm, and 656 nm. In a spectrum of a distant galaxy, these same lines are observed to have wavelengths of 492 nm, 521 nm, 583 nm, and 787 nm, respectively. The example demonstrated that z=0.20 for the 410 nm line. Show that you will obtain the same redshift regardless of which absorption line you measure.arrow_forwardOne of the strongest emission lines observed from distant galaxies comes from hydrogen and has a wavelength of 122 nm (in the ultraviolet region). How fast must a galaxy be moving away from us in order for that line to be observed in the visible region at 366 nm?arrow_forwardIn vacuum, the H-alpha line has a rest-frame wavelength of 656.461 nm. You took a spectrum of the center of a galaxy at an observatory on the ground and measured a wavelength of 656.65 nm for the H-alpha line. What is the radial velocity of the galaxy relative to the observer [km/s]? Note that the index of refraction of air is 1.0003 at that wavelength. As a result, the rest-frame wavelength of the H-alpha line in air differs from the rest-frame wavelength in vacuum.arrow_forward
- Suppose that a galaxy has 109 M⊙ of neutral HI gas with a temperature of about 10 K. Estimate the luminosity of the 21 cm wavelength radiation that is expected from the galaxy. Answer in watts.arrow_forwardDistances to very remote galaxies are estimated based on their apparent type, which indicate the number of stars in thegalaxy, and their measured brightness. Explain how the measured brightness would vary with distance. Would there be anycorrection necessary to compensate for the red shift of the galaxy (all distant galaxies have significant red shifts)? Discusspossible causes of uncertainties in these measurementsarrow_forwardThe redshift measurements of spectra from magnesium and iron are important in understanding distant galaxies. What are the Kα and Lα wavelengths for magnesium and iron?arrow_forward
- An 800 nm spectral line when observed from a galaxy is shifted to 920 nm. Calculate the redshift.arrow_forwardA Type la supernova explodes in a galaxy at a distance of 6.10×107 light-years from Earth. If astronomers detect the light from the supernova today, how many years T have passed since the supernova exploded? T= 2.07 x10 -5 years Given a Hubble constant of 74.3 km/s/Mpc, at what speed v is this galaxy moving away from Earth? v= km/s What is this galaxy's redshift? redshift:arrow_forwardGive the peak wavelengths, λpeak, for each of the following cases. State which portion of the electromagnetic spectrum it falls within. A quasar, with T = 1.0 × 105 K. (In nm.)arrow_forward
- A 1.6 GHz radio signal is detected from a galaxy as 0.86GHz. Estimate the relative velocity.arrow_forwardA galaxy with a spherically symmetric distribution of matter has a mass density profile of the type p(r) ∞ 1/r, where r is the radial coordinate from the centre of the galaxy. To what type of circular velocity (r) does this correspond? Select one: a. (r) O b. c. O d. (r) ~ r (r) ~ √r (r): = constantarrow_forwardWhat are the angular diameters of the following, as seen from Earth? a. The Sun, with radius R = Rsun = 7x10^5 km. b. Betelgeuse, with MV = -5.5 mag, mv = 0.8 mag, and R = 650Rsun. c. The galaxy M31, with R = 30 kpc at a distance D = 0.7Mpc. d. The Coma cluster of galaxies, with R = 3 Mpc at a distance D = 100 Mpc.arrow_forward
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