In Rutherford scattering we noted that angular momentum is conserved. The angular momentum of the incident α particle relative to the target nucleus is mv0b where m is the mass, v0 is the initial velocity of the α particle, and b is the impact parameter. Start with and show that angular momentum is conserved, and the magnitude is given by mv0b along the entire path of the α particle while it is scattered by the Coulomb force from a gold nucleus.
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