From 91bfdd42811695bc511a6a9bb9b3a619fe84aecc Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Thu, 21 Sep 2023 14:08:04 +0200 Subject: [PATCH] vault backup: 2023-09-21 14:08:04 --- .../obsidian-activity-history/data.json | 4 +- .../various-complements/histories.json | 2 +- notes/.obsidian/workspace.json | 83 +-- ...z svetla 2023-09-21 12.52.08.excalidraw.md | 544 ++++++++++++++++++ ...z svetla 2023-09-21 12.58.19.excalidraw.md | 291 ++++++++++ notes/data/data.md | 2 + notes/eko/eko.md | 1 + notes/fyz/Svetlo/Odraz světla.md | 36 ++ notes/fyz/Svetlo/Svetlo.md | 1 + notes/fyz/Svetlo/Uplny odraz svetla.md | 51 ++ 10 files changed, 957 insertions(+), 58 deletions(-) create mode 100644 notes/data/Uplny odraz svetla 2023-09-21 12.52.08.excalidraw.md create mode 100644 notes/data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw.md create mode 100644 notes/fyz/Svetlo/Uplny odraz svetla.md diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 1fb1f8e..ff5a5ef 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2023-09-21", - "size": 1416622 + "size": 1435823 } ], "activityHistory": [ @@ -1346,7 +1346,7 @@ }, { "date": "2023-09-21", - "value": 1330 + "value": 20593 } ] } diff --git a/notes/.obsidian/plugins/various-complements/histories.json b/notes/.obsidian/plugins/various-complements/histories.json index 067c15d..3179978 100644 --- a/notes/.obsidian/plugins/various-complements/histories.json +++ b/notes/.obsidian/plugins/various-complements/histories.json @@ -1 +1 @@ -{"har":{"har":{"frontMatter":{"count":2,"lastUpdated":1694084811854}}},"index":{"index":{"frontMatter":{"count":1,"lastUpdated":1694084814400}}},"Kruhovy dej":{"Kruhovy dej":{"internalLink":{"count":1,"lastUpdated":1694165211841}}},"Ekvigonala":{"Ekvigonala":{"internalLink":{"count":1,"lastUpdated":1694169007024}}},"\\sphericalangle":{"\\sphericalangle":{"currentFile":{"count":1,"lastUpdated":1694680712479}}},"Logaritmus":{"Logaritmus":{"internalLink":{"count":1,"lastUpdated":1694690308884}}},"zobrazení":{"zobrazení":{"currentFile":{"count":2,"lastUpdated":1694769120832}}},"Druhý pohybový zákon":{"Druhý pohybový zákon":{"internalLink":{"count":1,"lastUpdated":1695281570945}}}} \ No newline at end of file +{"har":{"har":{"frontMatter":{"count":2,"lastUpdated":1694084811854}}},"index":{"index":{"frontMatter":{"count":1,"lastUpdated":1694084814400}}},"Kruhovy dej":{"Kruhovy dej":{"internalLink":{"count":1,"lastUpdated":1694165211841}}},"Ekvigonala":{"Ekvigonala":{"internalLink":{"count":1,"lastUpdated":1694169007024}}},"\\sphericalangle":{"\\sphericalangle":{"currentFile":{"count":1,"lastUpdated":1694680712479}}},"Logaritmus":{"Logaritmus":{"internalLink":{"count":1,"lastUpdated":1694690308884}}},"zobrazení":{"zobrazení":{"currentFile":{"count":2,"lastUpdated":1694769120832}}},"Druhý pohybový zákon":{"Druhý pohybový zákon":{"internalLink":{"count":1,"lastUpdated":1695281570945}}},"\\sin\\alpha":{"\\sin\\alpha":{"currentFile":{"count":1,"lastUpdated":1695293974762}}},"\\frac{1.33}{\\frac{\\sqrt2}1}":{"\\frac{1.33}{\\frac{\\sqrt2}1}":{"currentFile":{"count":1,"lastUpdated":1695297376494}}}} \ No newline at end of file diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index 8f14b43..ac67d7d 100644 --- a/notes/.obsidian/workspace.json +++ b/notes/.obsidian/workspace.json @@ -4,71 +4,44 @@ "type": "split", "children": [ { - "id": "aa84ae38fae741da", + "id": "0cda690481482f21", "type": "tabs", "children": [ { - "id": "a21ccd19f325679c", + "id": "bcb851dbd0686376", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "kbb/math/Modulární aritmetika.md", + "file": "fyz/Svetlo/Odraz světla.md", "mode": "source", "source": false } } }, { - "id": "513b16e7fb04f9d3", + "id": "d67f7f76e78f9b41", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "eko/Úvodní hodina.md", + "file": "mat/Funkce/Goniometrické funkce.md", "mode": "source", "source": false } } }, { - "id": "9d198e0b25bb7523", + "id": "e74a3f3a215f2ac2", "type": "leaf", "state": { - "type": "markdown", + "type": "excalidraw", "state": { - "file": "eko/Untitled.md", - "mode": "source", - "source": false - } - } - }, - { - "id": "6591eff0c63e047c", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "mat/Geometrie/Geometrie.md", - "mode": "source", - "source": false - } - } - }, - { - "id": "1827b65ef3448809", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "mat/Geometrie/Konstrukční úlohy.md", - "mode": "source", - "source": false + "file": "data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw.md" } } } - ], - "currentTab": 4 + ] } ], "direction": "vertical" @@ -97,7 +70,7 @@ "state": { "type": "search", "state": { - "query": "$$", + "query": "sinus", "matchingCase": false, "explainSearch": false, "collapseAll": true, @@ -134,7 +107,7 @@ "state": { "type": "backlink", "state": { - "file": "mat/Geometrie/Konstrukční úlohy.md", + "file": "fyz/Svetlo/Odraz světla.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -151,7 +124,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "mat/Geometrie/Konstrukční úlohy.md", + "file": "fyz/Svetlo/Odraz světla.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -198,7 +171,7 @@ "state": { "type": "outline", "state": { - "file": "mat/Geometrie/Konstrukční úlohy.md" + "file": "fyz/Svetlo/Odraz světla.md" } } }, @@ -284,16 +257,24 @@ "breadcrumbs:Breadcrumbs Visualisation": false } }, - "active": "1827b65ef3448809", + "active": "bcb851dbd0686376", "lastOpenFiles": [ - "mat/Geometrie/Středová souměrnost.md", + "mat/Funkce/Goniometrické funkce.md", + "fyz/Svetlo/Odraz světla.md", + "mat/Funkce/Vlastnosti funkcí.md", + "mat/Funkce/Sinus.md", + "fyz/Svetlo/Uplny odraz svetla.md", + "data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw.md", + "data/Uplny odraz svetla 2023-09-21 12.52.08.excalidraw.md", + "eko/eko.md", + "fyz/fyz.md", + "mat/mat.md", + "kbb/math/Modulární aritmetika.md", + "eko/Úvodní hodina.md", + "eko/Untitled.md", "mat/Geometrie/Geometrie.md", "mat/Geometrie/Konstrukční úlohy.md", - "mat/mat.md", - "eko/Untitled.md", - "eko/Úvodní hodina.md", - "eko/eko.md", - "kbb/math/Modulární aritmetika.md", + "mat/Geometrie/Středová souměrnost.md", "eko", "kbb/math/math.md", "kbb/kbb.md", @@ -303,19 +284,11 @@ "mat/Funkce/Funkce.md", 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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 %% diff --git a/notes/eko/eko.md b/notes/eko/eko.md index 2130ae2..2129a13 100644 --- a/notes/eko/eko.md +++ b/notes/eko/eko.md @@ -1,3 +1,4 @@ +# eko %% Zoottelkeeper: Beginning of the autogenerated index file list %% - [[eko/Untitled|Untitled]] - [[eko/Úvodní hodina|Úvodní hodina]] diff --git a/notes/fyz/Svetlo/Odraz světla.md b/notes/fyz/Svetlo/Odraz světla.md index 25a5719..03beccf 100644 --- a/notes/fyz/Svetlo/Odraz světla.md +++ b/notes/fyz/Svetlo/Odraz světla.md @@ -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°? + +$\alpha=45\degree$ +$h=40cm$ +$n=1.33$ + +$\frac{\sin\alpha}{\sin\beta}=\frac{n_2}{n_1}$ +$\frac{\sin\alpha}{\sin\beta}=n$ +$\sin\beta=\frac{\sin\alpha}n$ +$\sin\beta=\frac{\sin45}{1.33}$ +$\sin\beta=\frac{\frac{\sqrt2}2}{1.33}$ +$\sin\beta=0.531$ +$\beta=32\degree$ + +$x_1=\tg(\beta)h$ +$x_1=25cm$ +$x=h\tg(\alpha)$ +$x=40cm$ + +$x_2=x-x_1$ +$x_2=15cm$ diff --git a/notes/fyz/Svetlo/Svetlo.md b/notes/fyz/Svetlo/Svetlo.md index 514bf9d..b003d10 100644 --- a/notes/fyz/Svetlo/Svetlo.md +++ b/notes/fyz/Svetlo/Svetlo.md @@ -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 %% diff --git a/notes/fyz/Svetlo/Uplny odraz svetla.md b/notes/fyz/Svetlo/Uplny odraz svetla.md new file mode 100644 index 0000000..e942a78 --- /dev/null +++ b/notes/fyz/Svetlo/Uplny odraz svetla.md @@ -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 + +$n_{vod}=1.33$ +$n_{vzd}=1$ + +$\alpha=90\degree$ + +$\sin\beta=(\sin\alpha=1)\frac{n_1}{n_2}=\frac1{1.33}$ +$\beta=49\degree$ +$\beta'=90\degree-\beta=41\degree$ + +--- +