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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 closest approach is r₀. The energy of the projectile is
- directly proportional to Z₁ Z₂
- inversely proportional to Z₁
- directly proportional to mass M₁
- directly proportional to M₁ × M₂
Correct answer: directly proportional to Z₁ Z₂
Solution
The distance of closest approach in Rutherford scattering is determined by the electrostatic potential energy, which is proportional to the product of the charges Z₁ and Z₂. Hence, the energy of the projectile is directly proportional to Z₁Z₂.
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