Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 12, Problem 5P
To determine
The apparent magnitudes of RR lyrae in a globular cluster is 14, we have to determine the distance of a cluster.
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Looking for ___ pc
If the RR Lyrae stars in a globular cluster have average apparent magnitudes of +19, how far away (in pc) is the cluster? (Hints: See the following figure, and use the magnitude-distance formula: d = 10(mv - My+5)/5.)
Туре
(Classical)
Cepheids
104
103
Туре II
Cepheids
102
RR Lyrae stars
0.3
1
10
30
100
Pulsation perlod (days)
pc
Absolute magnitude
Luminosity, L L.
If the RR lyrae stars in a globular cluster have average apparent magnitudes of +15, how far away (in pc) is the cluster? (Hint: See the following figure, and use the magnitude-distance formula: d=10(Mv-Mv+5)/5
Chapter 12 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 12 - Why is it difficult to specify the dimensions of...Ch. 12 - Why didn’t astronomers before Shapley realize how...Ch. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQ
Ch. 12 - Prob. 11RQCh. 12 - Prob. 12RQCh. 12 - Prob. 13RQCh. 12 - Prob. 14RQCh. 12 - Prob. 15RQCh. 12 - Prob. 16RQCh. 12 - Prob. 1DQCh. 12 - Prob. 2DQCh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - If the Sun is 4.6 billion years old, how many...Ch. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 1LTLCh. 12 - Prob. 2LTL
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- In the HR diagrams for some young clusters, stars of both very low and very high luminosity are off to the right of the main sequence, whereas those of intermediate luminosity are on the main sequence. Can you offer an explanation for that? Sketch an HR diagram for such a cluster.arrow_forwardAre supergiant stars also extremely massive? Explain the reasoning behind your answer.arrow_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
- Explain how an HR diagram of the stars in a cluster can be used to determine the age of the cluster.arrow_forwardIf the RR Lyrae stars in a globular cluster have average apparent magnitudes of +19, how far away (in pc) is the cluster? (Hints: See the following figure, and use the magnitude–distance formula: d = 10(mV − MV+5)/5.)arrow_forwardCan you please help with Part 2 of 2? Thank you.arrow_forward
- The RR Lyrae stars in a globular cluster have apparent magnitudes of 14. Assuming an absolute visual magnitude of 0.5, calculate how far away is the cluster (in parsecs)? (Hint: Use the Magnitude-Distance Formula: ?=10(??−??+55))arrow_forwardIf a globular cluster contains 2 million stars and is 28 pc in diameter, what is the average distance between the stars? (Hints: What share of the volume of the cluster surrounds the average star? The volume of a sphere is 4/3 ?R3.)arrow_forwardIf interstellar dust makes an RR Lyrae variable star look 2 magnitudes fainter than the star should, by how much will you over- or underestimate its 10(my - My + 5)/5.) distance? (Hint: Use the magnitude-distance formula d = d estimate dactual Is your calculated value an over- or underestimate? overestimate underestimatearrow_forward
- If an open cluster contains 450 stars and is 21 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star? Note: The volume of a sphere is 4 3 ?r 3.)arrow_forwardIf interstellar dust makes an RR Lyrae variable star look 5 magnitude fainter than the star should, by how much will you over- or underestimate its distance? (Hint: Use the magnitude distance formula d= 10 (Mv -Mv +5)/5 .) d estimate/ d actual = ________is your calculated value over or underestimated?arrow_forwardIf an open cluster contains 350 stars and is 48 pc in diameter, what is the average distance between the stars? On average what, share of the volume of the cluster surrounds each star?arrow_forward
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