Physics 6260, Homework #6 (due 11/6)
In an experiment, we measure the number of events (e.g. interactions in the detector)
as a function of time. The numbers of events collected during each time interval are shown
in the table below.
Time [s]
Counts (ni )
Physics 6260, Homework #5 (due 10/21)
P1 The CMS electromagnetic calorimeter has energy resolution (in %) that can be parameterized as a function of electron energy according to the formula
E
=
E
A2 +
B
E
2
+
C
E
2
where E is in GeV. The results of the ca
Physics 6260, Homework #3: solutions
P1
1
R
=
L2
720
= 2.24 104 m1
N +4
pT
, where pT is in GeV, B is in T, and R is in m
0.3qB
p T
R
1
=
= R
pT
R
R
R=
R = 8.3 m
Answer: 1.87 103
pitch
S/N
Answer: L = 14 cm
P2 Resolution =
P3 t =
L=
L
c
=
p
=
E
S = 2400
Physics 6260, Homework #2: solutions
P1
E + m = 3 m2 + p2
p = 3p
E = p
4
Solution: p = m
3
Answer: E = 4m = 2 MeV
P2 X0 = 716.4 g/cm2
A
287
Z (Z + 1) ln Z
Z = 14 A = 28.0855 = 2.329 g/cm3
x
x
13.6 MeV
1 + 0.038 ln
0 =
z
cp
X0
X0
p
=
x = 500 104 cm
p2 + m2
Physics 6260, Homework #1: solutions
P1 E =
v=
m2 + p2 = 5.024 GeV
p
c = 0.995 c
E
P2 Momenta of decay products in the laboratory frame are minimum/maximum when
the products move along the direction of the original particle.
p0 = p1 + p2
E0 = E1 + E2
Excl