Show that for the Rutherford scattering the differential cross section for the recoil nucleus in the Lab system is given by σ(φ) = (zZe²/2T)² / cos³ φ
A beam of α-particles of kinetic energy 5 MeV passes through a thin foil of ₄Be⁹. The number of alphas scattered between 60° and 90° and between 90° and 120° is measured. What would be the ratio of these numbers?
If the probability of α-particles of energy 10 MeV to be scattered through an angle greater than θ on passing through a thin foil is 10⁻³, what is it for 5 MeV protons passing through the same foil?
[University of Bristol]
What α-particle energy would be necessary in order to explore the field of force within a radius of 10⁻¹² cm of the center of nucleus of atomic number 60, assuming classical mechanics to be adequate?
[University of London]
In an elastic collision with a heavy nucleus when the impact parameter b is just equal to the collision radius R₀/2, what is the value of the scattering angle θ* in the CMS?