mirror of
https://github.com/danbulant/notes
synced 2026-06-19 14:31:15 +00:00
vault backup: 2023-09-21 14:08:04
This commit is contained in:
Daniel Bulant
parent
ceceb3169a
commit
91bfdd4281
10 changed files with 957 additions and 58 deletions
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@ -13,7 +13,7 @@
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%%
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291
notes/data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw.md
Normal file
291
notes/data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw.md
Normal file
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@ -0,0 +1,291 @@
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---
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excalidraw-plugin: parsed
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tags: [excalidraw]
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---
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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# Text Elements
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%%
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"strokeWidth": 1,
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"strokeStyle": "solid",
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"roughness": 1,
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"opacity": 100,
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"groupIds": [],
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"roundness": null,
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"seed": 912897144,
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"version": 63,
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"versionNonce": 813476104,
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"isDeleted": false,
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"boundElements": null,
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"updated": 1695293993548,
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"link": null,
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"locked": false,
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"text": "vzduch",
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"rawText": "vzduch",
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"fontSize": 107.99999999999997,
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"fontFamily": 1,
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"textAlign": "left",
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"verticalAlign": "top",
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"baseline": 95,
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"containerId": null,
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"originalText": "vzduch",
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"lineHeight": 1.25
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}
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],
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"appState": {
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"theme": "light",
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"viewBackgroundColor": "#ffffff",
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"currentItemStrokeColor": "#1e1e1e",
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"currentItemBackgroundColor": "transparent",
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"currentItemFillStyle": "hachure",
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"currentItemStrokeWidth": 1,
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"currentItemStrokeStyle": "solid",
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"currentItemRoughness": 1,
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"currentItemOpacity": 100,
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"currentItemFontFamily": 1,
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"currentItemFontSize": 20,
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"currentItemTextAlign": "left",
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"currentItemStartArrowhead": null,
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"currentItemEndArrowhead": "arrow",
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"scrollX": 1202.4307861328125,
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"scrollY": 819.298828125,
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"zoom": {
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"value": 1
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},
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"currentItemRoundness": "round",
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"gridSize": null,
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"currentStrokeOptions": null,
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"previousGridSize": null
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},
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"files": {}
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}
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```
|
||||
%%
|
||||
|
|
@ -365,5 +365,7 @@ imagePrefix: 'data/'
|
|||
- [[data/Úhel 2023-05-09 14.20.59.excalidraw|Úhel 2023-05-09 14.20.59.excalidraw]]
|
||||
- [[data/Úhel 2023-05-09 14.21.30.excalidraw|Úhel 2023-05-09 14.21.30.excalidraw]]
|
||||
- [[data/Úhel 2023-05-09 14.22.06.excalidraw|Úhel 2023-05-09 14.22.06.excalidraw]]
|
||||
- [[data/Uplny odraz svetla 2023-09-21 12.52.08.excalidraw|Uplny odraz svetla 2023-09-21 12.52.08.excalidraw]]
|
||||
- [[data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw|Uplny odraz svetla 2023-09-21 12.58.19.excalidraw]]
|
||||
- [[data/Změny skupenství 2023-04-11 11.58.21.excalidraw|Změny skupenství 2023-04-11 11.58.21.excalidraw]]
|
||||
%% Zoottelkeeper: End of the autogenerated index file list %%
|
||||
|
|
|
|||
|
|
@ -1,3 +1,4 @@
|
|||
# eko
|
||||
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
|
||||
- [[eko/Untitled|Untitled]]
|
||||
- [[eko/Úvodní hodina|Úvodní hodina]]
|
||||
|
|
|
|||
|
|
@ -52,3 +52,39 @@ $n_1=1$
|
|||
$n_2=2.42$
|
||||
|
||||
|
||||
---
|
||||
|
||||
$n_{sc}=1.51$
|
||||
$n_{sf}=1.531$
|
||||
$\alpha=60\degree$
|
||||
|
||||
$\frac{\sin\alpha}{\sin\beta}=\frac{n_2}{n_1}$
|
||||
$\frac{\sin\alpha=0.866025}{\sin\beta}=\frac{1.51}{1.531}$
|
||||
|
||||
$\Delta\beta=0.55\degree\approx33'$
|
||||
$\Delta\beta=\beta_2-\beta_1$
|
||||
|
||||
|
||||
---
|
||||
|
||||
Chlapec se chce dotknout tyčí předmětu v hloubce 40 cm pod hladinou vody. V jaké vzdálenosti od předmětu se tyč dotkne dna, jestliže tyč svírá s vodorovným směrem úhel 45°?
|
||||
|
||||
$\alpha=45\degree$
|
||||
$h=40cm$
|
||||
$n=1.33$
|
||||
|
||||
$\frac{\sin\alpha}{\sin\beta}=\frac{n_2}{n_1}$
|
||||
$\frac{\sin\alpha}{\sin\beta}=n$
|
||||
$\sin\beta=\frac{\sin\alpha}n$
|
||||
$\sin\beta=\frac{\sin45}{1.33}$
|
||||
$\sin\beta=\frac{\frac{\sqrt2}2}{1.33}$
|
||||
$\sin\beta=0.531$
|
||||
$\beta=32\degree$
|
||||
|
||||
$x_1=\tg(\beta)h$
|
||||
$x_1=25cm$
|
||||
$x=h\tg(\alpha)$
|
||||
$x=40cm$
|
||||
|
||||
$x_2=x-x_1$
|
||||
$x_2=15cm$
|
||||
|
|
|
|||
|
|
@ -1,3 +1,4 @@
|
|||
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
|
||||
- [[fyz/Svetlo/Odraz světla|Odraz světla]]
|
||||
- [[Uplny odraz svetla|Uplny odraz svetla]]
|
||||
%% Zoottelkeeper: End of the autogenerated index file list %%
|
||||
|
|
|
|||
51
notes/fyz/Svetlo/Uplny odraz svetla.md
Normal file
51
notes/fyz/Svetlo/Uplny odraz svetla.md
Normal file
|
|
@ -0,0 +1,51 @@
|
|||
# Uplny odraz svetla
|
||||
|
||||
> [!NOTE]
|
||||
> $\alpha>\alpha_m$
|
||||
|
||||
![[Uplny odraz svetla 2023-09-21 12.52.08.excalidraw]]
|
||||
|
||||
Pri $\alpha_m$ (mezni uhel) je odraz $\beta=90\degree$
|
||||
$\frac{\sin\alpha_m}{\sin\beta=1}=\frac{n_2=1}{n}$
|
||||
$\sin\alpha_m=\frac1{n}$
|
||||
|
||||
$\alpha>\alpha_m$ uplny odraz
|
||||
|
||||
|
||||
---
|
||||
|
||||
## Priklad
|
||||
|
||||
Sklo/Vzduch
|
||||
![[Uplny odraz svetla 2023-09-21 12.58.19.excalidraw]]
|
||||
$\alpha=45\degree$
|
||||
$n_1=1.5$
|
||||
|
||||
$\sin\alpha_m=\frac1n=\frac1{1.5}\Rightarrow\alpha_m=42\degree$
|
||||
|
||||
$\alpha>\alpha_m$ => nastane uplny odraz
|
||||
|
||||
---
|
||||
|
||||
Diamant:
|
||||
$\alpha_m=24\degree$
|
||||
$v=?$ (rychlost svetla v diamantu)
|
||||
$v=\frac{c}n$ (c = rychlost svetla ve vakuu)
|
||||
$n=\frac1{\sin\alpha_m}=2.46$
|
||||
$v=1.2*10^8$
|
||||
|
||||
---
|
||||
|
||||
Pod jakym uhlem vidi potapec zapadajici slunce
|
||||
|
||||
$n_{vod}=1.33$
|
||||
$n_{vzd}=1$
|
||||
|
||||
$\alpha=90\degree$
|
||||
|
||||
$\sin\beta=(\sin\alpha=1)\frac{n_1}{n_2}=\frac1{1.33}$
|
||||
$\beta=49\degree$
|
||||
$\beta'=90\degree-\beta=41\degree$
|
||||
|
||||
---
|
||||
|
||||
Loading…
Reference in a new issue