A star has a parallax angle of 0.0270 arcseconds and an apparent magnitude of 4.641. What is the distance to this star?  Answer: 37

Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter8: The Family Of Stars
Section: Chapter Questions
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15: A star has a parallax angle of 0.0270 arcseconds and an apparent magnitude of 4.641. What is the distance to this star?  Answer: 37

16: What is the absolute magnitude of this star? Answer:1.8

17: Is this star more or less luminous than the Sun? Answer "M" for More luminous or "L" for Less luminous. (HINT: the absolute magnitude of the Sun is 4.8) Answer: M 

18: What is the luminosity of this star? (HINT: The luminosity of the Sun is 3.85×1026 W.)

Please answer question #18, #15-17 are correct, the photos provide the work for them.

Part (b)
The expression for the absolute magnitude of the star is given by:
M = m – 5 log [)
Where
m is the apparent magnitude
d is the distance in parsecs
So,
M = 4. 641 – 5 log [37.03
10
M = 1.79
Step 3
Part(c).
The absolute magnitude of the Sun is 4.8.
If the absolute magnitude is less, it means it is more luminous. In this case, the absolute
magnitude of this star is 1.79. So, it more luminous (M) than that of the Sun.
Answer:
(a) The distance to this star is 37.03 parsecs.
(b) The absolute magnitude of this star is 1.79.
(c) This star more luminous than the Sun (M).
Explore similar guestions
Transcribed Image Text:Part (b) The expression for the absolute magnitude of the star is given by: M = m – 5 log [) Where m is the apparent magnitude d is the distance in parsecs So, M = 4. 641 – 5 log [37.03 10 M = 1.79 Step 3 Part(c). The absolute magnitude of the Sun is 4.8. If the absolute magnitude is less, it means it is more luminous. In this case, the absolute magnitude of this star is 1.79. So, it more luminous (M) than that of the Sun. Answer: (a) The distance to this star is 37.03 parsecs. (b) The absolute magnitude of this star is 1.79. (c) This star more luminous than the Sun (M). Explore similar guestions
Given that,
The parallax angle of a star = 0.0270 arcseconds
The apparent magnitude of the star = 4.641
Part (a)
Let d be the distance to this star. We know that the relation between the parallax angle and the
distance is given by:
d = ..(1)
Where
pis parallax angle in arcseconds
d is the distance to a star in parsecs
Step 2
Using relation (1).
d =
0.0270
d = 37.03 parsecs
Part (b)
The expression for the absolute magnitude of the star is given by:
M = m – 5 log
Transcribed Image Text:Given that, The parallax angle of a star = 0.0270 arcseconds The apparent magnitude of the star = 4.641 Part (a) Let d be the distance to this star. We know that the relation between the parallax angle and the distance is given by: d = ..(1) Where pis parallax angle in arcseconds d is the distance to a star in parsecs Step 2 Using relation (1). d = 0.0270 d = 37.03 parsecs Part (b) The expression for the absolute magnitude of the star is given by: M = m – 5 log
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