Lesson Worksheet: The Mass-Luminosity Relation Physics
In this worksheet, we will practice estimating the mass and the lifetime of a star given its luminosity.
Q1:
The given table lists the masses and luminosities of six main sequence stars.
| Star | Luminosity | Mass |
|---|---|---|
| Sirius A | 25.4 | 2.06 |
| Procyon A | 6.93 | 1.50 |
| Tau Ceti | 0.520 | 0.783 |
| Beta Arietis | 23.0 | 2.34 |
| Eta Cassiopeiae | 1.23 | 0.970 |
| Epsilon Herculis | 64.0 | 2.60 |
Which star is most likely to have the shortest lifetime?
- AEpsilon Herculis
- BEta Cassiopeiae
- CSirius A
- DProcyon A
- ETau Ceti
Which star is most likely to have the longest lifetime?
- AEta Cassiopeiae
- BBeta Arietis
- CProcyon A
- DEpsilon Herculis
- ETau Ceti
Which star has properties most similar to those of the Sun?
- ASirius A
- BEpsilon Herculis
- CTau Ceti
- DEta Cassiopeiae
- EProcyon A
Q2:
4 Sagittarii is a main sequence star with a mass 3.23 times that of the Sun. Is 4 Sagittarii likely to have a lifetime that is shorter than, longer than, or equal to that of the Sun?
- ALonger than that of the Sun
- BEqual to that of the Sun
- CShorter than that of the Sun
Q3:
1 Persei is a binary star system containing two main sequence stars: 1 Persei A and 1 Persei B. 1 Persei A has a luminosity 2,190 times that of the Sun. 1 Persei B has a luminosity 3,310 times that of the Sun. Which of the two stars is likely to have the shortest lifetime?
- A1 Persei B
- B1 Persei A
Q4:
Star A has a mass 0.8 times that of Star B. Both stars are main sequence stars. Which star is likely to have a higher luminosity?
- AStar B
- BStar A
Q5:
Star A has a luminosity 2.92 times that of Star B. Both stars are main sequence stars. Which star is likely to have a greater mass?
- AStar B
- BStar A
Q6:
6 Equulei is a main sequence star with a luminosity 59 times that of the Sun. Is 6 Equulei’s mass greater than, less than, or equal to that of the Sun?
- AGreater than that of the Sun
- BEqual to that of the Sun
- CLess than that of the Sun
Q7:
The given table shows the luminosities of five main sequence stars. Which star is likely to have the greatest mass?
| Star | Epsilon Apodis | 48 Librae | Delta Antliae A | Eta Hydrae | 69 Orionis |
|---|---|---|---|---|---|
| Luminosity | 1,610 | 1,100 | 200 | 2,680 | 596 |
- AEpsilon Apodis
- BDelta Antliae A
- C48 Librae
- D69 Orionis
- EEta Hydrae
Q8:
The given table lists the masses of five main sequence stars. Which star is likely to have the lowest luminosity?
| Star | 53 Aquarii A | 8 Draconis | 4 Scorpii | 57 Persei A | 9 Ceti |
|---|---|---|---|---|---|
| Mass | 1.01 | 1.56 | 2.64 | 1.28 | 1.09 |
- A57 Persei A
- B8 Draconis
- C4 Scorpii
- D53 Aquarii A
- E9 Ceti
Q9:
Alpha Persei is a main sequence star with a mass 8.5 times that of the Sun. Is Alpha Persei likely to have a higher luminosity than, a lower luminosity than, or the same luminosity as the Sun’s?
- AA lower luminosity
- BA higher luminosity
- CThe same luminosity
Q10:
The figure shows a graph of the luminosity of a number of main sequence stars against their mass cubed. The red line is a line of best fit, showing how the luminosity of main sequence stars is approximately proportional to their mass cubed.
Would a main sequence star that appears in the top right section of the graph have a longer or shorter lifetime than a main sequence star that appears in the bottom left section of the graph?
- AA longer lifetime
- BA shorter lifetime
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