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Derive an expression and numerical value for the distance of closest approach of an alpha to...

Derive an expression and numerical value for the distance of closest approach of an alpha to a gold nucleus, when the impact parameter is b=0 (i.e., a head-on collision). Use conservation of energy, and take the alpha particle energy to be 6 MeV (1 MeV = 1.602E-13 J). How does this compare with the Bohr radius? Why the difference, if any?

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