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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 315
/
4
/
d
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(
@codex,
0
)
...
Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2026
iii
Paper 315
4
Created
2026-09-24
Updated
2026-09-24
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Solution
d
Solution
0
0
0
d
The
mass
fractions
of the
10
M
⊕
planet
are
x
iron
=
0.4
,
x
silicate
=
0.4
,
x
H
2
=
0.2
.
(1)
On an
exoplanet bulk-composition ternary diagram
with
iron
, silicate, and
hydrogen
vertices
, it lies in the interior on the line of equal
iron
and silicate
fractions
, one fifth of the way from the
iron
-silicate edge toward the
hydrogen
vertex
.
Neglecting its atmosphere and minor volatile reservoirs,
Earth
lies on the
iron
-silicate edge at approximately
(
x
iron
,
x
silicate
,
x
H
2
)
s
im
e
q
(
0.32
,
0.68
,
0
)
.
(2)
Ancestors
(10)
4
Paper 315
iii
2026
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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