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author | Prefetch | 2023-01-01 16:40:56 +0100 |
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committer | Prefetch | 2023-01-01 17:02:29 +0100 |
commit | b1a9b1b9b2f04efd6dc39bd2a02c544d34d1259c (patch) | |
tree | 1fd87919deee17e58f8ad19c09abd54bd4a70886 /source/know/concept/rutherford-scattering | |
parent | 1d700ab734aa9b6711eb31796beb25cb7659d8e0 (diff) |
Change license, add Makefile, add image caching control
Diffstat (limited to 'source/know/concept/rutherford-scattering')
-rw-r--r-- | source/know/concept/rutherford-scattering/index.md | 6 |
1 files changed, 4 insertions, 2 deletions
diff --git a/source/know/concept/rutherford-scattering/index.md b/source/know/concept/rutherford-scattering/index.md index 6f5a21f..edf391c 100644 --- a/source/know/concept/rutherford-scattering/index.md +++ b/source/know/concept/rutherford-scattering/index.md @@ -19,7 +19,8 @@ Let 2 be initially at rest, and 1 approach it with velocity $$\vb{v}_1$$. Coulomb repulsion causes 1 to deflect by an angle $$\theta$$, and pushes 2 away in the process: -{% include image.html file="two-body-full.png" width="50%" alt="Two-body repulsive 'collision'" %} +{% include image.html file="two-body-full.png" width="50%" + alt="Two-body repulsive 'collision'" %} Here, $$b$$ is called the **impact parameter**. Intuitively, we expect $$\theta$$ to be larger for smaller $$b$$. @@ -67,7 +68,8 @@ then by comparing $$t > 0$$ and $$t < 0$$ we can see that $$v_x$$ is unchanged for any given $$\pm t$$, while $$v_y$$ simply changes sign: -{% include image.html file="one-body-full.png" width="60%" alt="Equivalent one-body deflection" %} +{% include image.html file="one-body-full.png" width="60%" + alt="Equivalent one-body deflection" %} From our expression for $$\vb{r}$$, we can find $$\vb{v}$$ by differentiating with respect to time: |