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.
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