Tru Physics

Problem 10.1 – Griffith’s Intro to QM

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Problem 10.1

Rutherford scattering. An incident particle of charge q_1 and kinetic energy E scatters off a heavy stationary particle of charge q_2.

(a) Derive the formula relating the impact parameter to the scattering angle.

Answer: b=(q_1q_2/8\pi\varepsilon_0E)\cot(\theta/2)

(b) Determine the differential scattering cross-section. Answer:

D(\theta)=\left[ \dfrac{q_1q_2}{16\pi\varepsilon_0E\sin^2(\theta/2)} \right]^2.

(c) Show that the total cross-section for Rutherford scattering is infinite.

Solution:

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Problem 10.1 Solution (Download)

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