波って聞くと海の波を思い浮かべるかもしれないけど、実は音や光も波の仲間なんだ。この単元では、波がどうやってエネルギーを運ぶのか、そして波を表すための基本的な量について学んでいこう。
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Updated Apr 6, 2026
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波の基本と特徴
1 / 6
波の基本概念と用語
波はエネルギーを運ぶ現象だけど、媒質（波を伝える物質）自体は移動しない。海の波を見ても、水は上下に動くだけで水自体が岸まで流れてくるわけじゃないよね。
波源は波を作り出すもので、媒質は波を伝える物質のこと。音なら空気、水の波なら水が媒質になる。ただし光や電波は特別で、真空中でも伝わることができるんだ。
波を理解するための基本的な量がいくつかある。変位は媒質がつりあいの位置からどれだけずれているかを表し、**振幅（A）**はその最大値のこと。**波長（λ）**は波一つ分の長さで、山から隣の山までの距離で測るよ。
💡 覚えておこう: 波長の記号λ（ラムダ）はギリシャ文字。物理でよく使われるから慣れておこう！
周期・振動数と波の種類
**周期（T）**は1回振動するのにかかる時間で、**振動数（f）**は1秒間に何回振動するかを表す。この2つは逆数の関係にあって、f = 1/Tという式で結ばれている。
波は媒質の振動方向によって2種類に分けられる。横波は振動方向と進行方向が垂直な波で、光や弦の振動がこれにあたる。山と谷がはっきり見える波形だ。
縦波は振動方向と進行方向が平行な波。音やばねの振動がその例で、密な部分と疎な部分が交互に現れる。見た目は横波ほどわかりやすくないけど、原理は同じだよ。
💡 テスト対策: 音は縦波、光は横波。この基本は絶対に覚えておこう！
波の基本式と重要公式
物理で最も重要な公式の一つがv = fλだ。波の速さ（v）は振動数（f）と波長（λ）の積で表される。これは波が1周期で1波長分進むという性質から導かれる。
単位も確認しておこう。速さは、振動数は[Hz]、波長は[m]。計算するときは必ず単位もチェックすると間違いを防げる。
この公式を使えば、3つの量のうち2つがわかれば残り1つを求めることができる。例えば、振動数50Hz、波長2.0mの波なら、速さは50 × 2.0 = 100 m/sになる。
💡 計算のコツ: v = fλの公式は暗記必須。単位を含めて覚えると計算ミスが減るよ！
計算例と実践問題
実際の問題を解いてみよう。音の速さが340m/s、振動数が170Hzのとき、波長を求める問題なら、v = fλをλについて変形してλ = v/f = 340/170 = 2.0mとなる。
正弦波の式y = A sin(2πft)が与えられた問題では、係数を比較して振幅や振動数を読み取る。例えばy = 0.10 sin(2.0πt)なら、振幅A = 0.10m、2πf = 2.0πからf = 1.0Hzと求められる。
周期は振動数の逆数だから T = 1/f = 1.0s。波の速さがわかっていれば、v = fλから波長も計算できるね。
💡 注意ポイント: 正弦波の式では、係数を正確に読み取ることが大切。2πが含まれているかどうかをしっかりチェック！
試験対策と重要ポイント
グラフ問題では横軸が何かを必ず確認しよう。横軸が位置xなら波形グラフで波長λが読み取れる。横軸が時間tなら単振動グラフで周期Tがわかる。
媒質の動きと波の動きを混同しないのも大切。媒質はその場で振動するだけで、波と一緒に移動するわけではない。これは波の本質的な性質だよ。
公式は単位も含めて覚える。v = fλで、v = f[Hz] × λ[m]。Hz は 1/s と同じ意味で、計算すると確かにになることがわかる。
💡 最終チェック: 横波と縦波の例、基本公式、単位の関係。この3つが完璧なら波の基礎はマスターできている！
要点のまとめ
波はエネルギーを運ぶ現象で、媒質自体は移動しない。基本的な量として振幅A、波長λ、周期T、振動数f、速さvがある。
横波は光や弦の振動で、振動方向と進行方向が垂直。縦波は音やばねの振動で、振動方向と進行方向が平行。どちらも波の基本原理は同じだ。
最重要な関係式はf = 1/T（周期と振動数）とv = fλ（波の基本式）。この2つの公式があれば、ほとんどの波の問題は解けるよ。
💡 次のステップ: 公式の導出を自分でやり直して、教科書の例題も解き直してみよう。理解が深まるはず！
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in 物理
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
波の基本と特徴
波って聞くと海の波を思い浮かべるかもしれないけど、実は音や光も波の仲間なんだ。この単元では、波がどうやってエネルギーを運ぶのか、そして波を表すための基本的な量について学んでいこう。
波の基本概念と用語
波はエネルギーを運ぶ現象だけど、媒質（波を伝える物質）自体は移動しない。海の波を見ても、水は上下に動くだけで水自体が岸まで流れてくるわけじゃないよね。
波源は波を作り出すもので、媒質は波を伝える物質のこと。音なら空気、水の波なら水が媒質になる。ただし光や電波は特別で、真空中でも伝わることができるんだ。
波を理解するための基本的な量がいくつかある。変位は媒質がつりあいの位置からどれだけずれているかを表し、**振幅（A）**はその最大値のこと。**波長（λ）**は波一つ分の長さで、山から隣の山までの距離で測るよ。
💡 覚えておこう: 波長の記号λ（ラムダ）はギリシャ文字。物理でよく使われるから慣れておこう！
Sign up to see the contentIt's free!
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周期・振動数と波の種類
**周期（T）**は1回振動するのにかかる時間で、**振動数（f）**は1秒間に何回振動するかを表す。この2つは逆数の関係にあって、f = 1/Tという式で結ばれている。
波は媒質の振動方向によって2種類に分けられる。横波は振動方向と進行方向が垂直な波で、光や弦の振動がこれにあたる。山と谷がはっきり見える波形だ。
縦波は振動方向と進行方向が平行な波。音やばねの振動がその例で、密な部分と疎な部分が交互に現れる。見た目は横波ほどわかりやすくないけど、原理は同じだよ。
💡 テスト対策: 音は縦波、光は横波。この基本は絶対に覚えておこう！
Sign up to see the contentIt's free!
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Improve your grades
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波の基本式と重要公式
物理で最も重要な公式の一つがv = fλだ。波の速さ（v）は振動数（f）と波長（λ）の積で表される。これは波が1周期で1波長分進むという性質から導かれる。
単位も確認しておこう。速さは、振動数は[Hz]、波長は[m]。計算するときは必ず単位もチェックすると間違いを防げる。
この公式を使えば、3つの量のうち2つがわかれば残り1つを求めることができる。例えば、振動数50Hz、波長2.0mの波なら、速さは50 × 2.0 = 100 m/sになる。
💡 計算のコツ: v = fλの公式は暗記必須。単位を含めて覚えると計算ミスが減るよ！
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
計算例と実践問題
実際の問題を解いてみよう。音の速さが340m/s、振動数が170Hzのとき、波長を求める問題なら、v = fλをλについて変形してλ = v/f = 340/170 = 2.0mとなる。
正弦波の式y = A sin(2πft)が与えられた問題では、係数を比較して振幅や振動数を読み取る。例えばy = 0.10 sin(2.0πt)なら、振幅A = 0.10m、2πf = 2.0πからf = 1.0Hzと求められる。
周期は振動数の逆数だから T = 1/f = 1.0s。波の速さがわかっていれば、v = fλから波長も計算できるね。
💡 注意ポイント: 正弦波の式では、係数を正確に読み取ることが大切。2πが含まれているかどうかをしっかりチェック！
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
試験対策と重要ポイント
グラフ問題では横軸が何かを必ず確認しよう。横軸が位置xなら波形グラフで波長λが読み取れる。横軸が時間tなら単振動グラフで周期Tがわかる。
媒質の動きと波の動きを混同しないのも大切。媒質はその場で振動するだけで、波と一緒に移動するわけではない。これは波の本質的な性質だよ。
公式は単位も含めて覚える。v = fλで、v = f[Hz] × λ[m]。Hz は 1/s と同じ意味で、計算すると確かにになることがわかる。
💡 最終チェック: 横波と縦波の例、基本公式、単位の関係。この3つが完璧なら波の基礎はマスターできている！
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
要点のまとめ
波はエネルギーを運ぶ現象で、媒質自体は移動しない。基本的な量として振幅A、波長λ、周期T、振動数f、速さvがある。
横波は光や弦の振動で、振動方向と進行方向が垂直。縦波は音やばねの振動で、振動方向と進行方向が平行。どちらも波の基本原理は同じだ。
最重要な関係式はf = 1/T（周期と振動数）とv = fλ（波の基本式）。この2つの公式があれば、ほとんどの波の問題は解けるよ。
💡 次のステップ: 公式の導出を自分でやり直して、教科書の例題も解き直してみよう。理解が深まるはず！
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Most popular content in 物理
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Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user