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Question 6 (15 marks) log (L/L?) 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -1 -0.5 0 0.5 log (M/M?) 1 1.5 2 The log of the bolometric luminosity as function of the log of the mass for main sequence stars. (a) (3 marks) Using the above figure, write an equation that approximates the luminosity vs mass relation for stars with masses between 1 M? and 10 M?. (b) (2 marks) What information does the luminosity-mass relation provide on the lifetimes of main sequence stars? (c) (3 marks) If the Sun has a lifetime of 10 Gyr, what is the approximate (main sequence) lifetime of a 10 M? star? (d) (2 marks) Approximately what percentage of a star's hydrogen is consumed before it leaves the main sequence? (e) (3 marks) What are the end points of stellar evolution of 50 M?, 10 M? and 1 M? stars (respectively)? (f) (2 marks) As globular clusters are amongst the oldest objects in the galaxy, how does their elemental abundance ratios compare to those of the Sun? (a)

          Question 6 (15 marks)
log (L/L?)
7
6
5
4
3
2
1
0
-1
-2
-3
-4
-1
-0.5
0
0.5
log (M/M?)
1
1.5
2
The log of the bolometric luminosity as function of the log of the mass for main sequence stars.
(a) (3 marks) Using the above figure, write an equation that approximates the luminosity vs mass
relation for stars with masses between 1 M? and 10 M?.
(b) (2 marks) What information does the luminosity-mass relation provide on the lifetimes of main
sequence stars?
(c) (3 marks) If the Sun has a lifetime of 10 Gyr, what is the approximate (main sequence) lifetime
of a 10 M? star?
(d) (2 marks) Approximately what percentage of a star's hydrogen is consumed before it leaves the
main sequence?
(e) (3 marks) What are the end points of stellar evolution of 50 M?, 10 M? and 1 M? stars
(respectively)?
(f) (2 marks) As globular clusters are amongst the oldest objects in the galaxy, how does their
elemental abundance ratios compare to those of the Sun?
(a)

Question 6 (15 marks)
log (L/L?)
7
6
5
4
3
2
1
0
-1
-2
-3
-4
-1
-0.5
0
0.5
log (M/M?)
1
1.5
2
The log of the bolometric luminosity as function of the log of the mass for main sequence stars.
(a) (3 marks) Using the above figure, write an equation that approximates the luminosity vs mass
relation for stars with masses between 1 M? and 10 M?.
(b) (2 marks) What information does the luminosity-mass relation provide on the lifetimes of main
sequence stars?
(c) (3 marks) If the Sun has a lifetime of 10 Gyr, what is the approximate (main sequence) lifetime
of a 10 M? star?
(d) (2 marks) Approximately what percentage of a star's hydrogen is consumed before it leaves the
main sequence?
(e) (3 marks) What are the end points of stellar evolution of 50 M?, 10 M? and 1 M? stars
(respectively)?
(f) (2 marks) As globular clusters are amongst the oldest objects in the galaxy, how does their
elemental abundance ratios compare to those of the Sun?
(a)

Added by Michael O.

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