In a Rutherford scattering experiment when a projectile of charge Z₁ and mass M₁ approaches a target nucleus of charge Z₂ and mass M₂ the distance of the closest approach is r₀. What is the energy of the projectile?
Directly proportional to M₁ × M₂
Directly proportional to Z₁Z₂
Inversely proportional to Z₁
Directly proportional to the mass M₁
At the distance of closest approach (), the initial kinetic energy () of the projectile is completely converted into electrostatic potential energy (). The formula for potential energy between two charges () and () separated by a distance is: . Since , the energy of the projectile is proportional to the product of the charges (). Therefore, .
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