Using the Born approximation, obtain an integral expression for
the total cross section for scattering of...
Using the Born approximation, obtain an integral expression for
the total cross section for scattering of particles of mass m from
the attractive Yukawa potential V(r) = - V0 exp [ -(r/a)²]
Derive the expression for the scattering cross-section &
extinction cross-section for a metal nanosphere (a/lambda <
0.1)?
This problem comes from the topic of Localized Surface
Plasmons
Problem 5: Find the differential and total cross sections in the
first Born approximation for elastic scattering of a particle of
mass m, which is initially traveling along the z-axis, from a
nonspherical, double-delta potential V (~ r) = V0δ(~ r − aˆ
k)+V0δ(~ r+aˆ k), where ˆ k is the unit vector along the
z-axis.
(from Reif, Chapter 12, problem 5)
The total scattering cross section for an electron-air molecule
collision is about 10^(-15)cm^2
At what gas pressure will 90 percent of the electrons emitted
from a cathode reach an
anode 20 cm away? (Assume that any electron scattered out of the
beam does not reach
the anode; i.e. neglect multiple scattering.)
1. The proton-neutron differential scattering cross section is
symmetric about 90 degrees axis in center of mass frame of
reference. Why is this important?
2. What is the experimental evidence for partons?
3. What is the relation between strong interaction responsible
for binding of nucleons and one that binds quarks. Briefly state
most important similarities and differences.
4. Explain why scientists do not expect to observe free
quarks.
5. In what ways are electromagnetic and color charges similar
and different?
Using the electrostatic approximation, derive the expression for
field enhancement for a spherical particle composed of a material
with dielectric function and radius a
What is Horvitz-Thompson estimator of population total? Give the
Yates-Grundy expression of its variance and obtain an unbiased
estimator of this variance. Show that this estimator of the
variance will never be negative under Midzuno-Sen sampling
scheme.
Given a radioactive nucleus with decay constant lambda and total
cross section Ot, determine the condition for which the nucleus
will most likely decay before it has a collision with a neutron, if
it is irradiated by a neutron beam with intensity Io
[neutrons/cm^2-s].
You set up a cross using two corn plants with green seedlings
and obtain the following progeny (6 points):
3583 green seedlings
853 white seedlings
260 yellow seedlings
Assign genotypes for seedling color
What is the hypothesized mode of inheritance for seedling
color?
c. Perform a Chi-square analysis to test the hypothesis stated
in part (b) of this question
A precast square concrete pile 305x305 mm in cross section is
driven into ground using a steam hammer. If HE = 40 kN-m, E = 0.85,
WR = 35 kN, weight of pile cap = 3.0 kN, L = 25 m, n = 0.4, Ep = 21
x 106 kN/m2 , number of blows for the last 25.4 mm pile penetration
is 7 blows, unit weight of concrete = 24 kN/m3 . Compute the
allowable pile capacity using: (a) Modified...