Horizons: Exploring the Universe (MindTap Course List)
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 8, Problem 3P
To determine

Complete the table of apparent magnitude, absolute visual magnitude, distances, and parallaxes.

Expert Solution & Answer
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Answer to Problem 3P

Complete table is as follows-

    mv Mv d(pc) p(arcsecond)
    7 7 10 0.1
    11 1 1000 0.001
    6 -2 400 0.025
    4 -2.98 250 0.040

Explanation of Solution

Given:

Incomplete table

    mv Mv d(pc) p(arcsecond)
    - 7 10 -
    11 - 1000 -
    - -2 - 0.025
    4 - - 0.040

Formula used:

Distance of star in parsec is calculated as

d(pc)=1p(arcseconds)

Absolute magnitude of the star is given as

Horizons: Exploring the Universe (MindTap Course List), Chapter 8, Problem 3P

Calculation:

Parallax of star is calculated as

10=1p(arcseconds)p=0.1

Apparent magnitude of the star is calculated as

mvMv=5+5log10(d)mv7=5+5log10(10)mv=7

Parallax of star is calculated as

1000=1p(arcseconds)p=0.001

Absolute magnitude of the star is calculated as

mvMv=5+5log10(d)11Mv=5+5log10(1000)Mv=1

Distance of star is calculated as

d=10.025p=400pc

Apparent magnitude of the star is calculated as

mvMv=5+5log10(d)mv(2)=5+5log10(400)mv=6.0

Distance of star is calculated as

d=10.040p=250pc

Apparent magnitude of the star is calculated as

mvMv=5+5log10(d)4Mv=5+5log10(250)Mv=2.98

Therefore the complete table is as follows

    mv Mv d(pc) p(arcsecond)
    7 7 10 0.1
    11 1 1000 0.001
    6 -2 400 0.025
    4 -2.98 250 0.040

Conclusion:

Complete table is as follows-

    mv Mv d(pc) p(arcsecond)
    7 7 10 0.1
    11 1 1000 0.001
    6 -2 400 0.025
    4 -2.98 250 0.040

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