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Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 23, Problem 17E
Would you expect to find any white dwarfs in the Orion Nebula? (See The Birth of Stars and the Discovery of Planets outside the Solar System to remind yourself of its characteristics.) Why or why not?
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(Astronomy)
(Part A) White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 × 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass⁄volume, and the volume of a sphere is 4/3πr3).
(Part B) Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?
H5.
A star with mass 1.05 M has a luminosity of 4.49 × 1026 W and effective temperature of 5700 K. It dims to 4.42 × 1026 W every 1.39 Earth days due to a transiting exoplanet. The duration of the transit reveals that the exoplanet orbits at a distance of 0.0617 AU. Based on this information, calculate the radius of the planet (expressed in Jupiter radii) and the minimum inclination of its orbit to our line of sight.
Follow up observations of the star in part reveal that a spectral feature with a rest wavelength of 656 nm is redshifted by 1.41×10−3 nm with the same period as the observed transit. Assuming a circular orbit what can be inferred about the planet’s mass (expressed in Jupiter masses)?
What is the escape velocity (in km/s) from the surface of a 1.5 M neutron star? From a 3.0 M neutron star? (Hint: Use the formula for escape velocity,
Ve =
2GM
r
;
make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 ✕ 1030 kg.)
1.5 M neutron star km/s3.0 M neutron star km/s
Chapter 23 Solutions
Astronomy
Ch. 23 - How does a white dwarf differ from a neutron star?...Ch. 23 - Describe the evolution of a star with a mass like...Ch. 23 - Describe the evolution of a massive star (say, 20...Ch. 23 - How do the two types of supernovae discussed in...Ch. 23 - A star begins its life with a mass of 5 MSunbut...Ch. 23 - If the formation of a neutron star leads to a...Ch. 23 - How can the Crab Nebula shine with the energy of...Ch. 23 - How is a nova different from a type Ia supernova?...Ch. 23 - Apart from the masses, how are binary systems with...Ch. 23 - What observations from SN 1987A helped confirm...
Ch. 23 - Describe the evolution of a white dwarf over time,...Ch. 23 - Describe the evolution of a pulsar over time, in...Ch. 23 - How would a white dwarf that formed from a star...Ch. 23 - What do astronomers think are the causes of...Ch. 23 - How did astronomers finally solve the mystery of...Ch. 23 - Arrange the following stars in order of their...Ch. 23 - Would you expect to find any white dwarfs in the...Ch. 23 - Suppose no stars more massive than about 2 MSunhad...Ch. 23 - Would you be more likely to observe a type II...Ch. 23 - Astronomers believe there are something like 100...Ch. 23 - Would you expect to observe every supernova in our...Ch. 23 - The Large Magellanic Cloud has about one-tenth the...Ch. 23 - Look at the list of the nearest stars in Appendix...Ch. 23 - If most stars become white dwarfs at the ends of...Ch. 23 - If a 3 and 8 MSunstar formed together in a binary...Ch. 23 - You have discovered two star clusters. The first...Ch. 23 - A supernova remnant was recently discovered and...Ch. 23 - Based upon the evolution of stars, place the...Ch. 23 - What observations or types of telescopes would you...Ch. 23 - How would the spectra of a type II supernova be...Ch. 23 - The ring around SN 1987A (Figure 23.12) initially...Ch. 23 - What is the acceleration of gravity (g) at the...Ch. 23 - What is the escape velocity from the Sun? How much...Ch. 23 - What is the average density of the Sun? How does...Ch. 23 - Say that a particular white dwarf has the mass of...Ch. 23 - What is the escape velocity from the white dwarf...Ch. 23 - What is the average density of the white dwarf in...Ch. 23 - Now take a neutron star that has twice the mass of...Ch. 23 - What is the escape velocity from the neutron star...Ch. 23 - What is the average density of the neutron star in...Ch. 23 - One way to calculate the radius of a star is to...Ch. 23 - According to a model described in the text, a...Ch. 23 - Do the same calculations as in Exercise 23.42 but...Ch. 23 - If the Sun were replaced by a white dwarf with a...Ch. 23 - A supernova can eject material at a velocity of...Ch. 23 - A supernova remnant was observed in 2007 to be...Ch. 23 - The ring around SN 1987A (Figure 23.12) started...Ch. 23 - Before the star that became SN 1987A exploded, it...Ch. 23 - What is the radius of the progenitor star that...Ch. 23 - What is the acceleration of gravity at the surface...Ch. 23 - What was the escape velocity from the surface of...Ch. 23 - What was the average density of the star that...Ch. 23 - If the pulsar shown in Figure 23.16 is rotating...
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- If a transit depth of 0.00001 can be detected with the Kepler spacecraft, what is the smallest planet that could be detected around a 0.3 RsunM dwarf star?arrow_forwardWhat is a planetary nebula? Will we have one around the Sun?arrow_forwardArrange the following stars in order of their evolution: A. A star with no nuclear reactions going on in the core, which is made primarily of carbon and oxygen. B. A star of uniform composition from center to surface; it contains hydrogen but has no nuclear reactions going on in the core. C. A star that is fusing hydrogen to form helium in its core. D. A star that is fusing helium to carbon in the core and hydrogen to helium in a shell around the core. E. A star that has no nuclear reactions going on in the core but is fusing hydrogen to form helium in a shell around the core.arrow_forward
- Would you expect to observe every supernova in our own Galaxy? Why or why not?arrow_forwardFigure 20.2 shows a reddish glow around the star Antares, and yet the caption says that is a dust cloud. What observations would you make to determine whether the red glow is actually produced by dust or whether it is produced by an H II region? Figure 20.2 Various Types of Interstellar Matter. The reddish nebulae in this spectacular photograph glow with light emitted by hydrogen atoms. The darkest areas are clouds of dust that block the light from stars behind them. The upper part of the picture is filled with the bluish glow of light reflected from hot stars embedded in the outskirts of a huge, cool cloud of dust and gas. The cool supergiant star Antares can be seen as a big, reddish patch in the lower-left part of the picture. The star is shedding some of its outer atmosphere and is surrounded by a cloud of its own making that reflects the red light of the star. The red nebula in the middle right partially surrounds the star Sigma Scorpii. (To the right of Antares, you can see M4, a much more distant cluster of extremely old stars.) (credit: modification of work by ESO/Digitized Sky Survey 2)arrow_forwardConsider the following five kinds of objects: open cluster, giant molecular cloud, globular cluster, group of O and B stars, and planetary nebulae. A. Which occur only in spiral arms? B. Which occur only in the parts of the Galaxy other than the spiral arms? C. Which are thought to be very young? D. Which are thought to be very old? E. Which have the hottest stars?arrow_forward
- H II regions can exist only if there is a nearby star hot enough to ionize hydrogen. Hydrogen is ionized only by radiation with wavelengths shorter than 91.2 nm. What is the temperature of a star that emits its maximum energy at 91.2 nm? (Use Wien’s law from Radiation and Spectra.) Based on this result, what are the spectral types of those stars likely to provide enough energy to produce H II regions?arrow_forwardLook elsewhere in this book for necessary data, and indicate what the final stage of evolution-white dwarf, neutron star, or black hole-will be for each of these kinds of stars. A. Spectral type-O main-sequence star B. Spectral type-B main-sequence star C. Spectral type-A main-sequence star D. Spectral type-G main-sequence star E. Spectral type-M main-sequence stararrow_forwardYou can use the equation in Exercise 22.34 to estimate the approximate ages of the clusters in Figure 22.10, Figure 22.12, and Figure 22.13. Use the information in the figures to determine the luminosity of the most massive star still on the main sequence. Now use the data in Table 18.3 to estimate the mass of this star. Then calculate the age of the cluster. This method is similar to the procedure used by astronomers to obtain the ages of clusters, except that they use actual data and model calculations rather than simply making estimates from a drawing. How do your ages compare with the ages in the text? Figure 22.10 NGC 2264 HR Diagram. Compare this HR diagram to that in Figure 22.8; although the points scatter a bit more here, the theoretical and observational diagrams are remarkably, and satisfyingly, similar. Figure 22.12 Cluster M41. (a) Cluster M41 is older than NGC 2264 (see Figure 22.10) and contains several red giants. Some of its more massive stars are no longer close to the zero-age main sequence (red line). (b) This ground-based photograph shows the open cluster M41. Note that it contains several orange-color stars. These are stars that have exhausted hydrogen in their centers, and have swelled up to become red giants. (credit b: modification of work by NOAO/AURA/NSF) Figure 22.13 HR Diagram for an Older Cluster. We see the HR diagram for a hypothetical older cluster at an age of 4.24 billion years. Note that most of the stars on the upper part of the main sequence have turned off toward the red-giant region. And the most massive stars in the cluster have already died and are no longer on the diagram. Characteristics of Main-Sequence Starsarrow_forward
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