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Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 2
/
38C
/
c
/
ii
/
Solution
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2021
ii
Paper 2
38C
c
ii
Created
2026-09-24
Updated
2026-09-25
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A
stationary observer has
four-velocity
u
=
r
∂
t
. If
E
=
−
k
t
is the conserved
photon energy
, the measured
frequency
is proportional to
−
u
⋅
k
=
r
E
.
(1)
Hence
ν
2
=
2
ν
1
.
(2)
The
photon
is blueshifted
as
it moves outward.
Ancestors
(12)
ii
c
38C
Paper 2
ii
2021
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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