Q. 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:

A) directly proportional to z₁z₂
B) inversely proportional to z₁
C) directly proportional to mass M₁
D) directly proportional to M₁ × M₂
Explanation

[Solution from source] At the distance of closest approach all kinetic energy becomes electrostatic potential energy: E = kz₁z₂e²/r₀. So, for a given r₀, the energy is directly proportional to z₁z₂ and does not depend on the masses. Answer (1).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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