Question

Explain Born approximation. Apply the method to calculate the scattering cross-section from a screened coulomb field.

Discuss the validity of the result.

Answer #1

Explain what the physical meaning of a differential scattering
cross section is, as well as a total scattering cross section.
Estimate the size of a total cross section for 1) gravitational, 2)
electromagnetic, 3) strong, or 4) weak.

Using the born approximation, derive the total cross section,
sigma(k), for the following double- shell structure:
V(r) = alpha*delta(r-a) - 2*alpha*delta(r-a/3)

For scattering from a hard sphere with radius R:
a) Find the correlation between the scattering angle and impact
parameter b.
b) Obtain the differential cross-sectional area for this
collision.
c) When a bundle of N particles per unit surface passes through
such a hard sphere, how many particles per unit time are scattered
between 60 and 180 degrees.
d) Calculate the total cross-sectional area. Discuss whether the
result you found is meaningful.

For scattering from a hard sphere with radius R:
a) Find the correlation between the scattering angle and impact
parameter b.
b) Obtain the differential cross-sectional area for this
collision.
c) When a bundle of N particles per unit surface passes through
such a hard sphere, how many particles per unit time are scattered
between 60 and 180 degrees.
d) Calculate the total cross-sectional area. Discuss whether the
result you found is meaningful.

Written Problem: Induction from a falling
magnet
We have a small magnet with a magnetic moment of m = 0.1
Am2 (remember: magnetic moment is defined as m = IA -
see page 932 of book for the definition). We also have coils of
wire. The coils are made out of 100 circular loops of a single
wire. A single loop has a radius of 10 cm. The thickness of the
wire has a circular cross section with a 0.5...

Using the Midpoint method compute the elasticity in the
following cases and explain your answers.
Price
Quantity Demanded
(Income = AED60,000)
Quantity Demanded
(Income = AED90,000)
50
2000
1500
75
1500
1000
1. Calculate the income elasticity of demand when income rises
from AED 60,000 to AED90,000 at a price of AED 75. (1 Mark)
2. Due to COVID 19, the average price of a Jones the Grocer meal
fell from AED100 to
AED 80. As a result, Slim’s...

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