Doubt regarding Rutherford's Alpha Scattering Experiment and Impact Parameter

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Discussion Overview

The discussion revolves around Rutherford's Alpha Scattering Experiment, specifically focusing on the concept of impact parameter and its relationship with scattering angles. Participants explore how the impact parameter influences the scattering behavior of alpha particles when interacting with a nucleus, as well as the role of the Coulomb force in this context.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes that a large impact parameter results in small-angle scattering of alpha particles, while a small impact parameter leads to larger scattering angles.
  • Another participant seeks clarification on how the Coulomb force between the alpha particle and the nucleus changes with distance.
  • A different participant asserts that the Coulomb force is inversely proportional to the square of the distance between the alpha particle and the nucleus.
  • There is a question about the implications of increasing the impact parameter on the force experienced by the alpha particle.
  • One participant concludes that as the impact parameter increases, the force decreases significantly, leading to small-angle scattering.

Areas of Agreement / Disagreement

Participants express uncertainty about the explanation of the relationship between impact parameter and scattering angles. While some points are clarified, the discussion does not reach a consensus on the underlying mechanisms.

Contextual Notes

The discussion does not fully address the assumptions regarding the definitions of impact parameter and Coulomb force, nor does it resolve the implications of these concepts on scattering behavior.

Bloopy
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It is mentioned in my Textbook that if alpha-particle has large impact parameter, it gets scattered through small angles and vice versa.

I understand that impact parameter is defined as the perpendicular distance between the path of a projectile and the center of the nucleus.

I am unsure how the aforementioned fact is explained?
 
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How does the Coulomb (electric) force between the alpha-particle and nucleus vary with distance?
 
jtbell said:
How does the Coulomb (electric) force between the alpha-particle and nucleus vary with distance?
It is inversely proportional to the square of the distance between them.
 
So if the impact parameter becomes larger, what happens to the force?
 
jtbell said:
So if the impact parameter becomes larger, what happens to the force?
Force reduces drastically. Hence the scattering occurs through small angle. Understood.
 
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