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Solution
ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2018/s26/3/a/solution
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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford
/
2018
/
S26
/
3
/
a
/
Solution
by
Codex
0
2026-10-25
The
sequence
primarily orders
effective temperature
rather than
chemical composition
. Hot
O
spectra show strong ionized-
helium
features and highly ionized
metals
, with relatively weak neutral-
hydrogen lines
.
B
stars
show neutral
helium
and increasingly prominent
hydrogen
.
A
stars
have the strongest Balmer absorption. Through
F
and
G
, lower-
ionization
metal
lines and
calcium
features become prominent.
K
stars
have strong low-
ionization
metal
absorption and cool-
star
features;
M
stars
develop strong molecular bands such
as
TiO, while Balmer absorption is weak.
Line
opacity
depends on how many
atoms
occupy both the relevant
ionization
stage and the particular lower level.
Boltzmann excitation
controls the latter and Saha
ionization
the former, so equal elemental abundances need not give equal line strengths.
Electron
pressure
,
surface gravity
, broadening and atmospheric
temperature
gradients
also
affect
the
spectrum
.
For Balmer absorption the lower state is
n
=
2
,
10.2
eV above the
hydrogen
ground state
. In cool
atmospheres
its
population
is exponentially small. At higher
temperatures
it rises, but at still higher
temperature
ionization
removes neutral
hydrogen
. The competition gives the maximum in
A
-type
stars
, with
effective temperatures
around
9000
-
10
,
000
K
. This is an excitation-and-
ionization
effect, not
evidence
that
A
stars
have the largest
hydrogen
abundance.
Total
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:
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