Question

Use the general relation $$ \theta=\pi-2 \int_{r_{m i n}}^{\inf } \frac{\left(b / r^{2}\right) d r}{\sqrt{1-(b / r)^{2}-U / E}} $$ To denive the Rutherford dispersion formula $$ \frac{d \sigma}{d \Omega}=\left(\frac{k q Q}{4 E \sin ^{2}(\theta / 2)}\right)^{2} $$

Name: use the general relation thetapi 2 intrm i ninf fracleftb r2right d rsqrt1 b r2 u e to denive the rutherford dispersion formula fracd sigmad omegaleftfrack q q4 e sin 2theta 2right2
Uploaded: 2022-03-28T11:42:12-08:00
Duration: 6 min 5 s
Channel: Amit Srivastava
Description: use the general relation thetapi 2 intrm i ninf fracleftb r2right d rsqrt1 b r2 u e to denive the rutherford dispersion formula fracd sigmad omegaleftfrack q q4 e sin 2theta 2right2

          Use the general relation
$$
\theta=\pi-2 \int_{r_{m i n}}^{\inf } \frac{\left(b / r^{2}\right) d r}{\sqrt{1-(b / r)^{2}-U / E}}
$$
To denive the Rutherford dispersion formula
$$
\frac{d \sigma}{d \Omega}=\left(\frac{k q Q}{4 E \sin ^{2}(\theta / 2)}\right)^{2}
$$

Added by Igualatodos I.

Modern Physics

Kenneth S. Krane 3rd Edition

Chapter 14

Instant Answer

Solved by Expert Amit Srivastava

03/28/2022

Step 1

Step 1: Start with the general relation given: $$ \theta=\pi-2 \int_{r_{min}}^{\infty} \frac{\left(b / r^{2}\right) dr}{\sqrt{1-(b / r)^{2}-U / E}} $$ Show more…

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Use the general relation $$ \theta=\pi-2 \int_{r_{m i n}}^{\inf } \frac{\left(b / r^{2}\right) d r}{\sqrt{1-(b / r)^{2}-U / E}} $$ To denive the Rutherford dispersion formula $$ \frac{d \sigma}{d \Omega}=\left(\frac{k q Q}{4 E \sin ^{2}(\theta / 2)}\right)^{2} $$