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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Zaloguj się</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Strony dla anonimowych edytorów <a href="/wiki/Pomoc:Pierwsze_kroki" aria-label="Dowiedz się więcej na temat edytowania"><span>dowiedz się więcej</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Specjalna:M%C3%B3j_wk%C5%82ad" title="Lista edycji wykonanych z tego adresu IP [y]" accesskey="y"><span>Edycje</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Specjalna:Moja_dyskusja" title="Dyskusja użytkownika dla tego adresu IP [n]" accesskey="n"><span>Dyskusja</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div 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vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ukryj</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Początek</div> </a> </li> <li id="toc-Wyznaczenie_odległości_między_dwoma_punktami_o_tej_samej_fazie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Wyznaczenie_odległości_między_dwoma_punktami_o_tej_samej_fazie"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Wyznaczenie odległości między dwoma punktami o tej samej fazie</span> </div> </a> <ul id="toc-Wyznaczenie_odległości_między_dwoma_punktami_o_tej_samej_fazie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Związki_z_innymi_parametrami_fali" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Związki_z_innymi_parametrami_fali"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Związki z innymi parametrami fali</span> </div> </a> <button aria-controls="toc-Związki_z_innymi_parametrami_fali-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Przełącz podsekcję Związki z innymi parametrami fali</span> </button> <ul id="toc-Związki_z_innymi_parametrami_fali-sublist" class="vector-toc-list"> <li id="toc-Przeliczniki" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Przeliczniki"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Przeliczniki</span> </div> </a> <ul id="toc-Przeliczniki-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Długości_fali_w_różnych_ośrodkach" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Długości_fali_w_różnych_ośrodkach"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Długości fali w różnych ośrodkach</span> </div> </a> <ul id="toc-Długości_fali_w_różnych_ośrodkach-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Długość_fali_materii" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Długość_fali_materii"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Długość fali materii</span> </div> </a> <ul id="toc-Długość_fali_materii-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Spis treści" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Przełącz stan spisu treści" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Przełącz stan spisu treści</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Długość fali</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Przejdź do artykułu w innym języku. Treść dostępna w 98 językach" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-98" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">98 języków</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Golflengte" title="Golflengte – afrikaans" lang="af" hreflang="af" data-title="Golflengte" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B7%D9%88%D9%84_%D8%A7%D9%84%D9%85%D9%88%D8%AC%D8%A9" title="طول الموجة – arabski" lang="ar" hreflang="ar" data-title="طول الموجة" data-language-autonym="العربية" data-language-local-name="arabski" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Llonxit%C3%BA_d%27onda" title="Llonxitú d'onda – asturyjski" lang="ast" hreflang="ast" data-title="Llonxitú d'onda" data-language-autonym="Asturianu" data-language-local-name="asturyjski" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Dal%C4%9Fa_uzunlu%C4%9Fu" title="Dalğa uzunluğu – azerbejdżański" lang="az" hreflang="az" data-title="Dalğa uzunluğu" data-language-autonym="Azərbaycanca" data-language-local-name="azerbejdżański" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%AF%D8%A7%D9%84%D8%BA%D8%A7_%D8%A8%D9%88%DB%8C%D9%88" title="دالغا بویو – South Azerbaijani" lang="azb" hreflang="azb" data-title="دالغا بویو" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A4%E0%A6%B0%E0%A6%99%E0%A7%8D%E0%A6%97_%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF" title="তরঙ্গ দৈর্ঘ্য – bengalski" lang="bn" hreflang="bn" data-title="তরঙ্গ দৈর্ঘ্য" data-language-autonym="বাংলা" data-language-local-name="bengalski" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Pho-tn%CC%82g" title="Pho-tn̂g – minnański" lang="nan" hreflang="nan" data-title="Pho-tn̂g" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="minnański" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%94%D0%B0%D1%9E%D0%B6%D1%8B%D0%BD%D1%8F_%D1%85%D0%B2%D0%B0%D0%BB%D1%96" title="Даўжыня хвалі – białoruski" lang="be" hreflang="be" data-title="Даўжыня хвалі" data-language-autonym="Беларуская" data-language-local-name="białoruski" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%94%D0%B0%D1%9E%D0%B6%D1%8B%D0%BD%D1%8F_%D1%85%D0%B2%D0%B0%D0%BB%D1%96" title="Даўжыня хвалі – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Даўжыня хвалі" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%94%D1%8A%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D0%B2%D1%8A%D0%BB%D0%BD%D0%B0%D1%82%D0%B0" title="Дължина на вълната – bułgarski" lang="bg" hreflang="bg" data-title="Дължина на вълната" data-language-autonym="Български" data-language-local-name="bułgarski" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/W%C3%B6%C3%B6nl%C3%A4ng" title="Wöönläng – bawarski" lang="bar" hreflang="bar" data-title="Wöönläng" data-language-autonym="Boarisch" data-language-local-name="bawarski" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Talasna_du%C5%BEina" title="Talasna dužina – bośniacki" lang="bs" hreflang="bs" data-title="Talasna dužina" data-language-autonym="Bosanski" data-language-local-name="bośniacki" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Hirder_gwagenn" title="Hirder gwagenn – bretoński" lang="br" hreflang="br" data-title="Hirder gwagenn" data-language-autonym="Brezhoneg" data-language-local-name="bretoński" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Longitud_d%27ona" title="Longitud d'ona – kataloński" lang="ca" hreflang="ca" data-title="Longitud d'ona" data-language-autonym="Català" data-language-local-name="kataloński" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Vlnov%C3%A1_d%C3%A9lka" title="Vlnová délka – czeski" lang="cs" hreflang="cs" data-title="Vlnová délka" data-language-autonym="Čeština" data-language-local-name="czeski" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Tonfedd" title="Tonfedd – walijski" lang="cy" hreflang="cy" data-title="Tonfedd" data-language-autonym="Cymraeg" data-language-local-name="walijski" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/B%C3%B8lgel%C3%A6ngde" title="Bølgelængde – duński" lang="da" hreflang="da" data-title="Bølgelængde" data-language-autonym="Dansk" data-language-local-name="duński" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D8%B7%D9%88%D9%84_%D9%85%D9%88%D8%AC%D9%8A" title="طول موجي – marokański arabski" lang="ary" hreflang="ary" data-title="طول موجي" data-language-autonym="الدارجة" data-language-local-name="marokański arabski" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Wellenl%C3%A4nge" title="Wellenlänge – niemiecki" lang="de" hreflang="de" data-title="Wellenlänge" data-language-autonym="Deutsch" data-language-local-name="niemiecki" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Lainepikkus" title="Lainepikkus – estoński" lang="et" hreflang="et" data-title="Lainepikkus" data-language-autonym="Eesti" data-language-local-name="estoński" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%AE%CE%BA%CE%BF%CF%82_%CE%BA%CF%8D%CE%BC%CE%B1%CF%84%CE%BF%CF%82" title="Μήκος κύματος – grecki" lang="el" hreflang="el" data-title="Μήκος κύματος" data-language-autonym="Ελληνικά" data-language-local-name="grecki" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Wavelength" title="Wavelength – angielski" lang="en" hreflang="en" data-title="Wavelength" data-language-autonym="English" data-language-local-name="angielski" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Longitud_de_onda" title="Longitud de onda – hiszpański" lang="es" hreflang="es" data-title="Longitud de onda" data-language-autonym="Español" data-language-local-name="hiszpański" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Ondolongo" title="Ondolongo – esperanto" lang="eo" hreflang="eo" data-title="Ondolongo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Uhin-luzera" title="Uhin-luzera – baskijski" lang="eu" hreflang="eu" data-title="Uhin-luzera" data-language-autonym="Euskara" data-language-local-name="baskijski" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B7%D9%88%D9%84_%D9%85%D9%88%D8%AC" title="طول موج – perski" lang="fa" hreflang="fa" data-title="طول موج" data-language-autonym="فارسی" data-language-local-name="perski" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Longueur_d%27onde" title="Longueur d'onde – francuski" lang="fr" hreflang="fr" data-title="Longueur d'onde" data-language-autonym="Français" data-language-local-name="francuski" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Weachlingte" title="Weachlingte – zachodniofryzyjski" lang="fy" hreflang="fy" data-title="Weachlingte" data-language-autonym="Frysk" data-language-local-name="zachodniofryzyjski" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Tonnfhad" title="Tonnfhad – irlandzki" lang="ga" hreflang="ga" data-title="Tonnfhad" data-language-autonym="Gaeilge" data-language-local-name="irlandzki" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Tonn-fhad" title="Tonn-fhad – szkocki gaelicki" lang="gd" hreflang="gd" data-title="Tonn-fhad" data-language-autonym="Gàidhlig" data-language-local-name="szkocki gaelicki" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Lonxitude_de_onda" title="Lonxitude de onda – galicyjski" lang="gl" hreflang="gl" data-title="Lonxitude de onda" data-language-autonym="Galego" data-language-local-name="galicyjski" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%A4%E0%AA%B0%E0%AA%82%E0%AA%97%E0%AA%B2%E0%AA%82%E0%AA%AC%E0%AA%BE%E0%AA%88" title="તરંગલંબાઈ – gudżarati" lang="gu" hreflang="gu" data-title="તરંગલંબાઈ" data-language-autonym="ગુજરાતી" data-language-local-name="gudżarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8C%8C%EC%9E%A5" title="파장 – koreański" lang="ko" hreflang="ko" data-title="파장" data-language-autonym="한국어" data-language-local-name="koreański" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%AC%D5%AB%D6%84%D5%AB_%D5%A5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Ալիքի երկարություն – ormiański" lang="hy" hreflang="hy" data-title="Ալիքի երկարություն" data-language-autonym="Հայերեն" data-language-local-name="ormiański" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97%E0%A4%A6%E0%A5%88%E0%A4%B0%E0%A5%8D%E0%A4%98%E0%A5%8D%E0%A4%AF" title="तरंगदैर्घ्य – hindi" lang="hi" hreflang="hi" data-title="तरंगदैर्घ्य" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Valna_duljina" title="Valna duljina – chorwacki" lang="hr" hreflang="hr" data-title="Valna duljina" data-language-autonym="Hrvatski" data-language-local-name="chorwacki" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Panjang_gelombang" title="Panjang gelombang – indonezyjski" lang="id" hreflang="id" data-title="Panjang gelombang" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezyjski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/IBangacuphi" title="IBangacuphi – zulu" lang="zu" hreflang="zu" data-title="IBangacuphi" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Bylgjulengd" title="Bylgjulengd – islandzki" lang="is" hreflang="is" data-title="Bylgjulengd" data-language-autonym="Íslenska" data-language-local-name="islandzki" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Lunghezza_d%27onda" title="Lunghezza d'onda – włoski" lang="it" hreflang="it" data-title="Lunghezza d'onda" data-language-autonym="Italiano" data-language-local-name="włoski" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%95%D7%A8%D7%9A_%D7%92%D7%9C" title="אורך גל – hebrajski" lang="he" hreflang="he" data-title="אורך גל" data-language-autonym="עברית" data-language-local-name="hebrajski" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%90%E1%83%9A%E1%83%A6%E1%83%98%E1%83%A1_%E1%83%A1%E1%83%98%E1%83%92%E1%83%A0%E1%83%AB%E1%83%94" title="ტალღის სიგრძე – gruziński" lang="ka" hreflang="ka" data-title="ტალღის სიგრძე" data-language-autonym="ქართული" data-language-local-name="gruziński" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BB%D2%9B%D1%8B%D0%BD_%D2%B1%D0%B7%D1%8B%D0%BD%D0%B4%D1%8B%D2%93%D1%8B" title="Толқын ұзындығы – kazachski" lang="kk" hreflang="kk" data-title="Толқын ұзындығы" data-language-autonym="Қазақша" data-language-local-name="kazachski" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Masafa_ya_mawimbi" title="Masafa ya mawimbi – suahili" lang="sw" hreflang="sw" data-title="Masafa ya mawimbi" data-language-autonym="Kiswahili" data-language-local-name="suahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Long%C3%A8donn" title="Longèdonn – kreolski haitański" lang="ht" hreflang="ht" data-title="Longèdonn" data-language-autonym="Kreyòl ayisyen" data-language-local-name="kreolski haitański" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/P%C3%AAldir%C3%AAjah%C3%AE" title="Pêldirêjahî – kurdyjski" lang="ku" hreflang="ku" data-title="Pêldirêjahî" data-language-autonym="Kurdî" data-language-local-name="kurdyjski" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BB%D0%BA%D1%83%D0%BD_%D1%83%D0%B7%D1%83%D0%BD%D0%B4%D1%83%D0%B3%D1%83" title="Толкун узундугу – kirgiski" lang="ky" hreflang="ky" data-title="Толкун узундугу" data-language-autonym="Кыргызча" data-language-local-name="kirgiski" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Longitudo_undae" title="Longitudo undae – łaciński" lang="la" hreflang="la" data-title="Longitudo undae" data-language-autonym="Latina" data-language-local-name="łaciński" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Vi%C4%BC%C5%86a_garums" title="Viļņa garums – łotewski" lang="lv" hreflang="lv" data-title="Viļņa garums" data-language-autonym="Latviešu" data-language-local-name="łotewski" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Wellel%C3%A4ngt" title="Wellelängt – luksemburski" lang="lb" hreflang="lb" data-title="Wellelängt" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburski" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Bangos_ilgis" title="Bangos ilgis – litewski" lang="lt" hreflang="lt" data-title="Bangos ilgis" data-language-autonym="Lietuvių" data-language-local-name="litewski" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hull%C3%A1mhossz" title="Hullámhossz – węgierski" lang="hu" hreflang="hu" data-title="Hullámhossz" data-language-autonym="Magyar" data-language-local-name="węgierski" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D1%80%D0%B0%D0%BD%D0%BE%D0%B2%D0%B0_%D0%B4%D0%BE%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0" title="Бранова должина – macedoński" lang="mk" hreflang="mk" data-title="Бранова должина" data-language-autonym="Македонски" data-language-local-name="macedoński" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A4%E0%B4%B0%E0%B4%82%E0%B4%97%E0%B4%A6%E0%B5%88%E0%B5%BC%E0%B4%98%E0%B5%8D%E0%B4%AF%E0%B4%82" title="തരംഗദൈർഘ്യം – malajalam" lang="ml" hreflang="ml" data-title="തരംഗദൈർഘ്യം" data-language-autonym="മലയാളം" data-language-local-name="malajalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97%E0%A4%B2%E0%A4%BE%E0%A4%82%E0%A4%AC%E0%A5%80" title="तरंगलांबी – marathi" lang="mr" hreflang="mr" data-title="तरंगलांबी" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Panjang_gelombang" title="Panjang gelombang – malajski" lang="ms" hreflang="ms" data-title="Panjang gelombang" data-language-autonym="Bahasa Melayu" data-language-local-name="malajski" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%94%D0%BE%D0%BB%D0%B3%D0%B8%D0%BE%D0%BD%D1%8B_%D1%83%D1%80%D1%82" title="Долгионы урт – mongolski" lang="mn" hreflang="mn" data-title="Долгионы урт" data-language-autonym="Монгол" data-language-local-name="mongolski" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Golflengte" title="Golflengte – niderlandzki" lang="nl" hreflang="nl" data-title="Golflengte" data-language-autonym="Nederlands" data-language-local-name="niderlandzki" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%B3%A2%E9%95%B7" title="波長 – japoński" lang="ja" hreflang="ja" data-title="波長" data-language-autonym="日本語" data-language-local-name="japoński" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Waagenlengde" title="Waagenlengde – północnofryzyjski" lang="frr" hreflang="frr" data-title="Waagenlengde" data-language-autonym="Nordfriisk" data-language-local-name="północnofryzyjski" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/B%C3%B8lgelengde" title="Bølgelengde – norweski (bokmål)" lang="nb" hreflang="nb" data-title="Bølgelengde" data-language-autonym="Norsk bokmål" data-language-local-name="norweski (bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/B%C3%B8lgjelengd" title="Bølgjelengd – norweski (nynorsk)" lang="nn" hreflang="nn" data-title="Bølgjelengd" data-language-autonym="Norsk nynorsk" data-language-local-name="norweski (nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Longor_d%27onda" title="Longor d'onda – oksytański" lang="oc" hreflang="oc" data-title="Longor d'onda" data-language-autonym="Occitan" data-language-local-name="oksytański" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Dambalii" title="Dambalii – oromo" lang="om" hreflang="om" data-title="Dambalii" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/To%CA%BBlqin_uzunligi" title="Toʻlqin uzunligi – uzbecki" lang="uz" hreflang="uz" data-title="Toʻlqin uzunligi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbecki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%9B%E0%A9%B1%E0%A8%B2-%E0%A8%B2%E0%A9%B0%E0%A8%AC%E0%A8%BE%E0%A8%88" title="ਛੱਲ-ਲੰਬਾਈ – pendżabski" lang="pa" hreflang="pa" data-title="ਛੱਲ-ਲੰਬਾਈ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pendżabski" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%84%DB%81%D8%B1_%D9%84%D9%85%D8%A8%D8%A7%D8%A6%DB%8C" title="لہر لمبائی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="لہر لمبائی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DA%85%D9%BE%D9%88%D8%A7%D9%BC%D9%86" title="څپواټن – paszto" lang="ps" hreflang="ps" data-title="څپواټن" data-language-autonym="پښتو" data-language-local-name="paszto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/B%C3%BClgenl%C3%A4ng" title="Bülgenläng – dolnoniemiecki" lang="nds" hreflang="nds" data-title="Bülgenläng" data-language-autonym="Plattdüütsch" data-language-local-name="dolnoniemiecki" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Comprimento_de_onda" title="Comprimento de onda – portugalski" lang="pt" hreflang="pt" data-title="Comprimento de onda" data-language-autonym="Português" data-language-local-name="portugalski" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Lungime_de_und%C4%83" title="Lungime de undă – rumuński" lang="ro" hreflang="ro" data-title="Lungime de undă" data-language-autonym="Română" data-language-local-name="rumuński" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%92%D0%BE%D0%B2%D0%BD%D0%BE%D0%B2%D0%B0_%D0%B4%D0%BE%D0%B2%D0%B6%D0%BA%D0%B0" title="Вовнова довжка – rusiński" lang="rue" hreflang="rue" data-title="Вовнова довжка" data-language-autonym="Русиньскый" data-language-local-name="rusiński" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%BB%D0%B8%D0%BD%D0%B0_%D0%B2%D0%BE%D0%BB%D0%BD%D1%8B" title="Длина волны – rosyjski" lang="ru" hreflang="ru" data-title="Длина волны" data-language-autonym="Русский" data-language-local-name="rosyjski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Gjat%C3%ABsia_e_val%C3%ABs" title="Gjatësia e valës – albański" lang="sq" hreflang="sq" data-title="Gjatësia e valës" data-language-autonym="Shqip" data-language-local-name="albański" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%AD%E0%B6%BB%E0%B6%82%E0%B6%9C_%E0%B6%86%E0%B6%BA%E0%B7%8F%E0%B6%B8%E0%B6%BA" title="තරංග ආයාමය – syngaleski" lang="si" hreflang="si" data-title="තරංග ආයාමය" data-language-autonym="සිංහල" data-language-local-name="syngaleski" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Wavelength" title="Wavelength – Simple English" lang="en-simple" hreflang="en-simple" data-title="Wavelength" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Vlnov%C3%A1_d%C4%BA%C5%BEka" title="Vlnová dĺžka – słowacki" lang="sk" hreflang="sk" data-title="Vlnová dĺžka" data-language-autonym="Slovenčina" data-language-local-name="słowacki" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Valovna_dol%C5%BEina" title="Valovna dolžina – słoweński" lang="sl" hreflang="sl" data-title="Valovna dolžina" data-language-autonym="Slovenščina" data-language-local-name="słoweński" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Dhererka_Mowjadda" title="Dhererka Mowjadda – somalijski" lang="so" hreflang="so" data-title="Dhererka Mowjadda" data-language-autonym="Soomaaliga" data-language-local-name="somalijski" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AF%D8%B1%DB%8E%DA%98%DB%8C%DB%8C_%D8%B4%DB%95%D9%BE%DB%86%D9%84" title="درێژیی شەپۆل – sorani" lang="ckb" hreflang="ckb" data-title="درێژیی شەپۆل" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D0%B0%D0%BB%D0%B0%D1%81%D0%BD%D0%B0_%D0%B4%D1%83%D0%B6%D0%B8%D0%BD%D0%B0" title="Таласна дужина – serbski" lang="sr" hreflang="sr" data-title="Таласна дужина" data-language-autonym="Српски / srpski" data-language-local-name="serbski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Valna_du%C5%BEina" title="Valna dužina – serbsko-chorwacki" lang="sh" hreflang="sh" data-title="Valna dužina" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbsko-chorwacki" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Aallonpituus" title="Aallonpituus – fiński" lang="fi" hreflang="fi" data-title="Aallonpituus" data-language-autonym="Suomi" data-language-local-name="fiński" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/V%C3%A5gl%C3%A4ngd" title="Våglängd – szwedzki" lang="sv" hreflang="sv" data-title="Våglängd" data-language-autonym="Svenska" data-language-local-name="szwedzki" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Alonghaba" title="Alonghaba – tagalski" lang="tl" hreflang="tl" data-title="Alonghaba" data-language-autonym="Tagalog" data-language-local-name="tagalski" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%B2%E0%AF%88%E0%AE%A8%E0%AF%80%E0%AE%B3%E0%AE%AE%E0%AF%8D" title="அலைநீளம் – tamilski" lang="ta" hreflang="ta" data-title="அலைநீளம்" data-language-autonym="தமிழ்" data-language-local-name="tamilski" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%94%D1%83%D0%BB%D0%BA%D1%8B%D0%BD_%D0%BE%D0%B7%D1%8B%D0%BD%D0%BB%D1%8B%D0%B3%D1%8B" title="Дулкын озынлыгы – tatarski" lang="tt" hreflang="tt" data-title="Дулкын озынлыгы" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarski" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A4%E0%B0%B0%E0%B0%82%E0%B0%97_%E0%B0%A6%E0%B1%88%E0%B0%B0%E0%B1%8D%E0%B0%98%E0%B1%8D%E0%B0%AF%E0%B0%82" title="తరంగ దైర్ఘ్యం – telugu" lang="te" hreflang="te" data-title="తరంగ దైర్ఘ్యం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%A2%E0%B8%B2%E0%B8%A7%E0%B8%84%E0%B8%A5%E0%B8%B7%E0%B9%88%E0%B8%99" title="ความยาวคลื่น – tajski" lang="th" hreflang="th" data-title="ความยาวคลื่น" data-language-autonym="ไทย" data-language-local-name="tajski" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%B4%D0%B0%D0%B4%D0%B8_%D0%BC%D0%B0%D0%B2%D2%B7%D3%A3" title="Адади мавҷӣ – tadżycki" lang="tg" hreflang="tg" data-title="Адади мавҷӣ" data-language-autonym="Тоҷикӣ" data-language-local-name="tadżycki" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Dalga_boyu" title="Dalga boyu – turecki" lang="tr" hreflang="tr" data-title="Dalga boyu" data-language-autonym="Türkçe" data-language-local-name="turecki" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%BE%D0%B2%D0%B6%D0%B8%D0%BD%D0%B0_%D1%85%D0%B2%D0%B8%D0%BB%D1%96" title="Довжина хвилі – ukraiński" lang="uk" hreflang="uk" data-title="Довжина хвилі" data-language-autonym="Українська" data-language-local-name="ukraiński" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B7%D9%88%D9%84%D9%90_%D9%85%D9%88%D8%AC" title="طولِ موج – urdu" lang="ur" hreflang="ur" data-title="طولِ موج" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Longhesa_d%27onda" title="Longhesa d'onda – wenecki" lang="vec" hreflang="vec" data-title="Longhesa d'onda" data-language-autonym="Vèneto" data-language-local-name="wenecki" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/B%C6%B0%E1%BB%9Bc_s%C3%B3ng" title="Bước sóng – wietnamski" lang="vi" hreflang="vi" data-title="Bước sóng" data-language-autonym="Tiếng Việt" data-language-local-name="wietnamski" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%B3%A2%E9%95%BF" title="波长 – wu" lang="wuu" hreflang="wuu" data-title="波长" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%B3%A2%E9%95%B7" title="波長 – kantoński" lang="yue" hreflang="yue" data-title="波長" data-language-autonym="粵語" data-language-local-name="kantoński" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%B3%A2%E9%95%BF" title="波长 – chiński" lang="zh" hreflang="zh" data-title="波长" data-language-autonym="中文" data-language-local-name="chiński" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q41364#sitelinks-wikipedia" title="Edytuj linki pomiędzy wersjami językowymi" class="wbc-editpage">Edytuj linki</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Przestrzenie nazw"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/D%C5%82ugo%C5%9B%C4%87_fali" title="Zobacz stronę treści [c]" accesskey="c"><span>Artykuł</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Dyskusja:D%C5%82ugo%C5%9B%C4%87_fali" rel="discussion" title="Dyskusja o zawartości tej strony [t]" accesskey="t"><span>Dyskusja</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Zmień wariant języka" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">polski</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Widok"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/D%C5%82ugo%C5%9B%C4%87_fali"><span>Czytaj</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit" title="Edytuj tę stronę [v]" accesskey="v"><span>Edytuj</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit" title="Edycja kodu źródłowego strony [e]" accesskey="e"><span>Edytuj kod źródłowy</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=history" title="Starsze wersje tej strony [h]" accesskey="h"><span>Wyświetl historię</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Narzędzia dla stron"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Narzędzia" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Narzędzia</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Narzędzia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ukryj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Więcej opcji" > <div class="vector-menu-heading"> Działania </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/D%C5%82ugo%C5%9B%C4%87_fali"><span>Czytaj</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit" title="Edytuj tę stronę [v]" accesskey="v"><span>Edytuj</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit" title="Edycja kodu źródłowego strony [e]" accesskey="e"><span>Edytuj kod źródłowy</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=history"><span>Wyświetl historię</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Ogólne </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Specjalna:Linkuj%C4%85ce/D%C5%82ugo%C5%9B%C4%87_fali" title="Pokaż listę wszystkich stron linkujących do tej strony [j]" accesskey="j"><span>Linkujące</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Specjalna:Zmiany_w_linkowanych/D%C5%82ugo%C5%9B%C4%87_fali" rel="nofollow" title="Ostatnie zmiany w stronach, do których ta strona linkuje [k]" accesskey="k"><span>Zmiany w linkowanych</span></a></li><li id="t-upload" class="mw-list-item"><a href="//pl.wikipedia.org/wiki/Wikipedia:Prześlij_plik" title="Prześlij pliki [u]" accesskey="u"><span>Prześlij plik</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Specjalna:Strony_specjalne" title="Lista wszystkich stron specjalnych [q]" accesskey="q"><span>Strony specjalne</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&oldid=74775567" title="Stały link do tej wersji tej strony"><span>Link do tej wersji</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=info" title="Więcej informacji na temat tej strony"><span>Informacje o tej stronie</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Cytuj&page=D%C5%82ugo%C5%9B%C4%87_fali&id=74775567&wpFormIdentifier=titleform" title="Informacja o tym jak należy cytować tę stronę"><span>Cytowanie tego artykułu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Skr%C3%B3%C4%87_adres_URL&url=https%3A%2F%2Fpl.wikipedia.org%2Fwiki%2FD%25C5%2582ugo%25C5%259B%25C4%2587_fali"><span>Zobacz skrócony adres URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Kod_QR&url=https%3A%2F%2Fpl.wikipedia.org%2Fwiki%2FD%25C5%2582ugo%25C5%259B%25C4%2587_fali"><span>Pobierz kod QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Drukuj lub eksportuj </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Specjalna:Ksi%C4%85%C5%BCka&bookcmd=book_creator&referer=D%C5%82ugo%C5%9B%C4%87+fali"><span>Utwórz książkę</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Specjalna:DownloadAsPdf&page=D%C5%82ugo%C5%9B%C4%87_fali&action=show-download-screen"><span>Pobierz jako PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&printable=yes" title="Wersja do wydruku [p]" accesskey="p"><span>Wersja do druku</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> W innych projektach </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Wavelength" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q41364" title="Link do powiązanego elementu w repozytorium danych [g]" accesskey="g"><span>Element Wikidanych</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Narzędzia dla stron"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Wygląd"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Wygląd</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ukryj</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Z Wikipedii, wolnej encyklopedii</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="pl" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Plik:Wellenlaenge.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Wellenlaenge.png/220px-Wellenlaenge.png" decoding="async" width="220" height="191" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Wellenlaenge.png/330px-Wellenlaenge.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Wellenlaenge.png/440px-Wellenlaenge.png 2x" data-file-width="600" data-file-height="520" /></a><figcaption>Wyznaczanie długości <a href="/wiki/Fala_sinusoidalna" title="Fala sinusoidalna">fali sinusoidalnej</a> (wykres dla danej chwili; oś pozioma to odległość)</figcaption></figure> <p><b>Długość fali</b> – najmniejsza odległość między dwoma punktami o tej samej <a href="/wiki/Faza_drga%C5%84" title="Faza drgań">fazie drgań</a> (czyli między dwoma powtarzającymi się fragmentami <a href="/wiki/Fala" title="Fala">fali</a>). Dwa punkty fali są w tej samej fazie, jeśli wychylenie w obu punktach jest takie samo i oba znajdują się na etapie wzrastania (lub zmniejszania się). Jeżeli w jednym punkcie wychylenie zwiększa się, a w drugim maleje, punkty te znajdują się w fazach przeciwnych. </p><p>Tradycyjnie długość fali oznacza się grecką literą <i><a href="/wiki/Lambda" title="Lambda">λ</a></i>. Dla fali sinusoidalnej najłatwiej określić ją, wyznaczając odległość między dwoma sąsiednimi grzbietami. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Wyznaczenie_odległości_między_dwoma_punktami_o_tej_samej_fazie"><span id="Wyznaczenie_odleg.C5.82o.C5.9Bci_mi.C4.99dzy_dwoma_punktami_o_tej_samej_fazie"></span>Wyznaczenie odległości między dwoma punktami o tej samej fazie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit&section=1" title="Edytuj sekcję: Wyznaczenie odległości między dwoma punktami o tej samej fazie" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit&section=1" title="Edytuj kod źródłowy sekcji: Wyznaczenie odległości między dwoma punktami o tej samej fazie"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Dla <a href="/wiki/Fala#Fala_harmoniczna" title="Fala">fali harmonicznej</a> w jednowymiarowym ośrodku lub <a href="/wiki/Fala_p%C5%82aska" title="Fala płaska">fali płaskiej</a> rozchodzącej się wzdłuż osi OX równanie przyjmuje postać: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(t,x)=A\sin(\omega t-kx),}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>,</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>A</mi> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>ω</mi> <mi>t</mi> <mo>−</mo> <mi>k</mi> <mi>x</mi> <mo stretchy="false">)</mo> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(t,x)=A\sin(\omega t-kx),}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8dd7b5cd1a6691a0653afc24439a0f9ea1d248b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.375ex; height:2.843ex;" alt="{\displaystyle y(t,x)=A\sin(\omega t-kx),}"></span></dd></dl></dd></dl> <p>gdzie: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span> – <a href="/wiki/Pulsacja" title="Pulsacja">pulsacja</a> (częstość kołowa),</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="{\displaystyle k}"></span> – <a href="/wiki/Liczba_falowa" title="Liczba falowa">liczba falowa</a>,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> – <a href="/wiki/Amplituda" title="Amplituda">amplituda fali</a>,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> – czas,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> – <a href="/wiki/D%C5%82ugo%C5%9B%C4%87_fizyczna" title="Długość fizyczna">współrzędna przestrzenna</a>.</dd></dl> <p>Częstość kołowa i liczba falowa są przy tym wyrażone zależnościami: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \omega ={\frac {2\pi }{T}}\qquad k={\frac {2\pi }{\lambda }}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>T</mi> </mfrac> </mrow> <mspace width="2em" /> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega ={\frac {2\pi }{T}}\qquad k={\frac {2\pi }{\lambda }}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2ac77c12b1116e5a589c1b734999c1d7a480e8d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:20.807ex; height:5.343ex;" alt="{\displaystyle \omega ={\frac {2\pi }{T}}\qquad k={\frac {2\pi }{\lambda }}.}"></span></dd></dl></dd></dl> <p>Funkcja sinus jest funkcją okresową i jej wartość powtarza się po zmianie jej argumentu co 2π. W danym momencie dwa punkty <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8788bf85d532fa88d1fb25eff6ae382a601c308" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{1}}"></span> i <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7af1b928f06e4c7e3e8ebfd60704656719bd766" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{2}}"></span> będą w tej samej fazie, jeżeli </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left(\omega t-kx_{2}\right)-\left(\omega t-kx_{1}\right)=2\pi ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow> <mi>ω</mi> <mi>t</mi> <mo>−</mo> <mi>k</mi> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>−</mo> <mrow> <mo>(</mo> <mrow> <mi>ω</mi> <mi>t</mi> <mo>−</mo> <mi>k</mi> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(\omega t-kx_{2}\right)-\left(\omega t-kx_{1}\right)=2\pi ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09610efa398f53b4ff926071ef2b7d015810385d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.141ex; height:2.843ex;" alt="{\displaystyle \left(\omega t-kx_{2}\right)-\left(\omega t-kx_{1}\right)=2\pi ,}"></span></dd></dl></dd></dl> <p>a stąd wynika, że </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k\left(x_{1}-x_{2}\right)=2\pi ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mrow> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\left(x_{1}-x_{2}\right)=2\pi ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/892ea591ced7e5231b4a90fc3ec7caa0a8759680" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.256ex; height:2.843ex;" alt="{\displaystyle k\left(x_{1}-x_{2}\right)=2\pi ,}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {2\pi }{\lambda }}\left(x_{1}-x_{2}\right)=2\pi ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {2\pi }{\lambda }}\left(x_{1}-x_{2}\right)=2\pi ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/300db20614a8e83514325877cb95e7f59e8b7af4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:19.375ex; height:5.343ex;" alt="{\displaystyle {\frac {2\pi }{\lambda }}\left(x_{1}-x_{2}\right)=2\pi ,}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{1}-x_{2}=\lambda .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>λ</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1}-x_{2}=\lambda .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c65f4e9fba837e9b59de0785964197271be03818" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.709ex; height:2.509ex;" alt="{\displaystyle x_{1}-x_{2}=\lambda .}"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Związki_z_innymi_parametrami_fali"><span id="Zwi.C4.85zki_z_innymi_parametrami_fali"></span>Związki z innymi parametrami fali</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit&section=2" title="Edytuj sekcję: Związki z innymi parametrami fali" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit&section=2" title="Edytuj kod źródłowy sekcji: Związki z innymi parametrami fali"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zależności wiążące długość fali z innymi parametrami: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda =v\cdot T,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>=</mo> <mi>v</mi> <mo>⋅</mo> <mi>T</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda =v\cdot T,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6e553061c660eea389eb08590554379aecc4d47" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.544ex; height:2.509ex;" alt="{\displaystyle \lambda =v\cdot T,}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda ={\frac {v}{f}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>f</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ={\frac {v}{f}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d5d42465a51464c789a2224d687dd5517b5d9013" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:7.215ex; height:5.176ex;" alt="{\displaystyle \lambda ={\frac {v}{f}},}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda ={\frac {2\pi \cdot v}{\omega }},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> <mo>⋅</mo> <mi>v</mi> </mrow> <mi>ω</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ={\frac {2\pi \cdot v}{\omega }},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d6c520b86ff6c37e30652d72c23829da2f089f1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.238ex; height:5.176ex;" alt="{\displaystyle \lambda ={\frac {2\pi \cdot v}{\omega }},}"></span></dd></dl></dd></dl> <p>gdzie: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> – <a href="/wiki/Pr%C4%99dko%C5%9B%C4%87_fazowa" title="Prędkość fazowa">prędkość fazowa fali</a>,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> – <a href="/wiki/Okres_(fizyka)" title="Okres (fizyka)">okres fali</a>,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> – <a href="/wiki/Cz%C4%99stotliwo%C5%9B%C4%87" title="Częstotliwość">częstotliwość</a>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Przeliczniki">Przeliczniki</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit&section=3" title="Edytuj sekcję: Przeliczniki" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit&section=3" title="Edytuj kod źródłowy sekcji: Przeliczniki"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Znajomość prędkości światła i dźwięku pozwala na zapisanie uproszczonych wzorów pozwalających przeliczyć częstotliwość na długość fali. We wzorach tych pominięto zależność prędkości światła w powietrzu od długości fali, a w przypadku dźwięku zależność prędkości od temperatury powietrza. </p> <dl><dd>Dla <a href="/wiki/Promieniowanie_elektromagnetyczne" title="Promieniowanie elektromagnetyczne">fal elektromagnetycznych</a> w próżni i w powietrzu można posłużyć się uproszczoną zależnością: <dl><dd>„długość fali w metrach otrzymamy, dzieląc 300 przez częstotliwość w <a href="/wiki/Herc" title="Herc">megahercach</a>”,</dd></dl></dd> <dd>gdzie przyjęto przybliżoną wartość <a href="/wiki/Pr%C4%99dko%C5%9B%C4%87_%C5%9Bwiat%C5%82a" title="Prędkość światła">prędkości światła</a> 3×10<sup>8</sup> m/s.</dd></dl> <dl><dd>Dla <a href="/wiki/Fale_akustyczne" title="Fale akustyczne">fal akustycznych</a> w powietrzu, przy prędkości dźwięku <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> w m/s, obowiązuje wzór <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda ={\frac {v}{f}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>f</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ={\frac {v}{f}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a1f4b447b7f2e0139fd77f8b5e0c64343873984" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:7.215ex; height:5.176ex;" alt="{\displaystyle \lambda ={\frac {v}{f}}.}"></span></dd></dl></dd> <dd>Nie można przyjąć stałej wartości <a href="/wiki/Pr%C4%99dko%C5%9B%C4%87_d%C5%BAwi%C4%99ku" title="Prędkość dźwięku">prędkości dźwięku</a>, ponieważ zależy ona od temperatury.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Długości_fali_w_różnych_ośrodkach"><span id="D.C5.82ugo.C5.9Bci_fali_w_r.C3.B3.C5.BCnych_o.C5.9Brodkach"></span>Długości fali w różnych ośrodkach</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit&section=4" title="Edytuj sekcję: Długości fali w różnych ośrodkach" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit&section=4" title="Edytuj kod źródłowy sekcji: Długości fali w różnych ośrodkach"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Długość fali jest odwrotnie proporcjonalna do częstotliwości fali. Współczynnikiem proporcjonalności jest prędkość fazowa fali w danym ośrodku. Szybkość fali natomiast zależy od właściwości fizycznych ośrodka. Ponadto szybkość fali może zmieniać się również w zależności od jej częstotliwości (<a href="/wiki/Dyspersja_fali" title="Dyspersja fali">dyspersja</a>). Parametrem opisującym falę niezależnie od ośrodka jest jej częstotliwość, długość fali może natomiast zmieniać się wraz z prędkością. </p> <div class="mw-heading mw-heading2"><h2 id="Długość_fali_materii"><span id="D.C5.82ugo.C5.9B.C4.87_fali_materii"></span>Długość fali materii</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&veaction=edit&section=5" title="Edytuj sekcję: Długość fali materii" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=D%C5%82ugo%C5%9B%C4%87_fali&action=edit&section=5" title="Edytuj kod źródłowy sekcji: Długość fali materii"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="infobox noprint plainlinks" cellpadding="4" role="presentation"> <tbody><tr> <td style="vertical-align:middle; text-align:center; width:30px;"><span class="notpageimage" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/WiktionaryPl_nodesc.svg/28px-WiktionaryPl_nodesc.svg.png" decoding="async" width="28" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/WiktionaryPl_nodesc.svg/42px-WiktionaryPl_nodesc.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/WiktionaryPl_nodesc.svg/56px-WiktionaryPl_nodesc.svg.png 2x" data-file-width="122" data-file-height="117" /></span></span> </td> <td style="line-height:normal; vertical-align:middle; text-align:center; flex:unset;"><a href="https://pl.wiktionary.org/wiki/d%C5%82ugo%C5%9B%C4%87_fali" class="extiw" title="wikt:długość fali"><strong>Zobacz hasło</strong> <em>długość fali</em> w Wikisłowniku</a> </td></tr></tbody></table> <p><a href="/wiki/Louis_de_Broglie" title="Louis de Broglie">Louis de Broglie</a> sformułował hipotezę <a href="/wiki/Fale_materii" title="Fale materii">fal materii</a>, która później została potwierdzona doświadczalnie. Według tej hipotezy cząsteczki można traktować jak fale. Mają one zatem pewną długość fali, która podobnie jak dla fotonu związana jest z <a href="/wiki/P%C4%99d_(fizyka)" title="Pęd (fizyka)">pędem</a> <a href="/wiki/Cz%C4%85stka" title="Cząstka">cząstki</a>. Zależność tę wyraża równanie: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda ={\frac {h}{p}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mi>p</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ={\frac {h}{p}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea61dba4f570d474341b6f5ff22b0f26f52c1a87" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:7.276ex; height:5.843ex;" alt="{\displaystyle \lambda ={\frac {h}{p}},}"></span></dd></dl></dd></dl> <p>gdzie: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> – <a href="/wiki/Sta%C5%82a_Plancka" title="Stała Plancka">stała Plancka</a>,</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> – <a href="/wiki/P%C4%99d_(fizyka)" title="Pęd (fizyka)">pęd</a> cząstki.</dd></dl> <style data-mw-deduplicate="TemplateStyles:r74016753">.mw-parser-output #normdaten>div+div{margin-top:0.5em}.mw-parser-output #normdaten>div>div{background:var(--background-color-neutral,#eaecf0);padding:.2em .5em}.mw-parser-output #normdaten ul{margin:0;padding:0}.mw-parser-output #normdaten ul li:first-child{padding-left:.5em;border-left:1px solid var(--border-color-base,#a2a9b1)}</style> <div id="normdaten" class="catlinks"><div class="normdaten-typ-s"><div><a href="/wiki/Kontrola_autorytatywna" title="Kontrola autorytatywna">Kontrola autorytatywna</a> (<span class="description"><a href="/wiki/Odleg%C5%82o%C5%9B%C4%87" title="Odległość">odległość</a></span>):</div><ul><li><a href="/wiki/Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://lccn.loc.gov/sh2005004676">sh2005004676</a></span></li><li><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4189549-6">4189549-6</a></span></li><li><a href="/wiki/Centralna_Biblioteka_Narodowa_we_Florencji" title="Centralna Biblioteka Narodowa we Florencji">BNCF</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://thes.bncf.firenze.sbn.it/termine.php?id=63697">63697</a></span></li><li><a href="/wiki/Biblioteka_Narodowa_Izraela" title="Biblioteka Narodowa Izraela">J9U</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007554234005171">987007554234005171</a></span></li></ul></div><div class="normdaten-andere"><div><a href="/wiki/Encyklopedia_internetowa" title="Encyklopedia internetowa">Encyklopedie internetowe</a>:</div> <ul><li><a href="/wiki/Encyklopedia_Britannica" title="Encyklopedia Britannica">Britannica</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/science/wavelength">science/wavelength</a></span></li> <li><a href="/wiki/Store_norske_leksikon" title="Store norske leksikon">SNL</a>: <span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=4342&url_prefix=https://snl.no/&id=b%C3%B8lgelengde">bølgelengde</a></span></li> <li><a href="https://www.wikidata.org/wiki/Property:P1296" class="extiw" title="d:Property:P1296">Catalana</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.enciclopedia.cat/ec-gec-0192031.xml">0192031</a></span></li> <li><a href="/wiki/Den_Store_Danske_Encyklop%C3%A6di" title="Den Store Danske Encyklopædi">DSDE</a>: <span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=8313&url_prefix=https://lex.dk/&id=b%C3%B8lgel%C3%A6ngde">bølgelængde</a></span></li></ul> </div></div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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