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Past exam of the mathematics course of the University of Cambridge
/
2018
/
ia
/
Paper 4
/
10A
/
c
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2018
ia
Paper 4
10A
c
Created
2026-09-24
Updated
2026-10-03
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Work
in the
rest frame
of
B
. Two-body decay
kinematics
gives the massless-particle
energies
E
1
=
2
m
B
(
m
A
2
−
m
B
2
)
c
2
,
E
2
=
2
m
B
(
m
B
2
−
m
C
2
)
c
2
.
(1)
If
θ
is the
angle
between their momenta, then
(
Q
1
+
Q
2
)
2
=
2
Q
1
⋅
Q
2
=
c
2
2
E
1
E
2
(
1
−
cos
θ
)
.
(2)
Since
0
≤
1
−
cos
θ
≤
2
,
0
≤
(
Q
1
+
Q
2
)
2
≤
m
B
2
(
m
A
2
−
m
B
2
)
(
m
B
2
−
m
C
2
)
c
2
.
(3)
Ancestors
(11)
c
10A
Paper 4
ia
2018
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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