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href="/wiki/%E0%A4%AE%E0%A5%81%E0%A4%96%E0%A4%AA%E0%A5%83%E0%A4%B7%E0%A5%8D%E0%A4%A0" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="विकिपीडिया" src="/static/images/mobile/copyright/wikipedia-wordmark-hi.svg" style="width: 7.5em; height: 1.75em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-hi.svg" width="108" height="18" style="width: 6.75em; height: 1.125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A5%8B%E0%A4%9C" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="इस विकि में खोजें [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>खोजें</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="विकिपीडिया में खोजें" aria-label="विकिपीडिया में खोजें" autocapitalize="sentences" title="इस विकि में खोजें [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="विशेष:खोज"> </div> <button class="cdx-button cdx-search-input__end-button">खोजें</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="व्यक्तिगत उपकरण"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="दिखावट"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="पृष्ठ के फ़ॉन्ट का आकार, चौड़ाई और रंग बदलें" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="दिखावट" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">दिखावट</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi" class=""><span>दान करें</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है" class=""><span>खाता बनाएँ</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o" class=""><span>लॉग-इन करें</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="अन्य विकल्प" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="व्यक्तिगत उपकरण" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">व्यक्तिगत उपकरण</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi"><span>दान करें</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>खाता बनाएँ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>लॉग-इन करें</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"> लॉग-आउट किए गए संपादकों के लिए पृष्ठ <a href="/wiki/%E0%A4%B8%E0%A4%B9%E0%A4%BE%E0%A4%AF%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%9A%E0%A4%AF" aria-label="संपादन के बारे में अधिक जानें"><span>अधिक जानें</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/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%87_%E0%A4%AF%E0%A5%8B%E0%A4%97%E0%A4%A6%E0%A4%BE%E0%A4%A8" title="इस आईपी पते से संपादन की सूची [y]" accesskey="y"><span>योगदान</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%80_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE" title="इस आईपी एड्रेससे हुए बदलावों के बारे में वार्ता [n]" accesskey="n"><span>वार्ता</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="साइट"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="सामग्री" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">सामग्री</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">छुपाएँ</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">शुरुआत</div> </a> </li> <li id="toc-गणितीय_निरूपण" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#गणितीय_निरूपण"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>गणितीय निरूपण</span> </div> </a> <button aria-controls="toc-गणितीय_निरूपण-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>गणितीय निरूपण उप-अनुभाग को टॉगल करें</span> </button> <ul id="toc-गणितीय_निरूपण-sublist" class="vector-toc-list"> <li id="toc-समतल_रैखिक_ध्रुवित_साइन_तरंग" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#समतल_रैखिक_ध्रुवित_साइन_तरंग"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>समतल रैखिक ध्रुवित साइन तरंग</span> </div> </a> <ul id="toc-समतल_रैखिक_ध्रुवित_साइन_तरंग-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-सन्दर्भ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#सन्दर्भ"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>सन्दर्भ</span> </div> </a> <ul id="toc-सन्दर्भ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-बाहरी_कड़ियाँ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#बाहरी_कड़ियाँ"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>बाहरी कड़ियाँ</span> </div> </a> <ul id="toc-बाहरी_कड़ियाँ-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="सामग्री" 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="विषयसूची को टॉगल करें" > <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">विषयसूची को टॉगल करें</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">अनुप्रस्थ तरंग</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="दूसरे भाषा में लेख पर जाएँ। 46 भाषाओं में उपलब्ध" > <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-46" 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">46 भाषाएँ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%88%D8%AC%D8%A9_%D8%B9%D8%B1%D8%B6%D9%8A%D8%A9" title="موجة عرضية – अरबी" lang="ar" hreflang="ar" data-title="موجة عرضية" data-language-autonym="العربية" data-language-local-name="अरबी" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%A1%E0%A6%BC_%E0%A6%A4%E0%A6%B0%E0%A6%99%E0%A7%8D%E0%A6%97" title="আড় তরঙ্গ – बंगाली" lang="bn" hreflang="bn" data-title="আড় তরঙ্গ" data-language-autonym="বাংলা" data-language-local-name="बंगाली" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Ona_transversal" title="Ona transversal – कातालान" lang="ca" hreflang="ca" data-title="Ona transversal" data-language-autonym="Català" data-language-local-name="कातालान" 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/P%C5%99%C3%AD%C4%8Dn%C3%A9_vln%C4%9Bn%C3%AD" title="Příčné vlnění – चेक" lang="cs" hreflang="cs" data-title="Příčné vlnění" data-language-autonym="Čeština" data-language-local-name="चेक" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A3%D1%80%D0%BB%C4%83_%D1%85%D1%83%D0%BC" title="Урлă хум – चूवाश" lang="cv" hreflang="cv" data-title="Урлă хум" data-language-autonym="Чӑвашла" data-language-local-name="चूवाश" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Transversalwelle" title="Transversalwelle – जर्मन" lang="de" hreflang="de" data-title="Transversalwelle" data-language-autonym="Deutsch" data-language-local-name="जर्मन" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CE%B3%CE%BA%CE%AC%CF%81%CF%83%CE%B9%CE%B1_%CE%BA%CF%8D%CE%BC%CE%B1%CF%84%CE%B1" title="Εγκάρσια κύματα – यूनानी" lang="el" hreflang="el" data-title="Εγκάρσια κύματα" data-language-autonym="Ελληνικά" data-language-local-name="यूनानी" 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/Transverse_wave" title="Transverse wave – अंग्रेज़ी" lang="en" hreflang="en" data-title="Transverse wave" data-language-autonym="English" data-language-local-name="अंग्रेज़ी" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Transversa_ondo" title="Transversa ondo – एस्पेरेंतो" lang="eo" hreflang="eo" data-title="Transversa ondo" data-language-autonym="Esperanto" data-language-local-name="एस्पेरेंतो" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Onda_transversal" title="Onda transversal – स्पेनिश" lang="es" hreflang="es" data-title="Onda transversal" data-language-autonym="Español" data-language-local-name="स्पेनिश" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ristlaine" title="Ristlaine – एस्टोनियाई" lang="et" hreflang="et" data-title="Ristlaine" data-language-autonym="Eesti" data-language-local-name="एस्टोनियाई" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%88%D8%AC_%D8%B9%D8%B1%D8%B6%DB%8C" title="موج عرضی – फ़ारसी" lang="fa" hreflang="fa" data-title="موج عرضی" data-language-autonym="فارسی" data-language-local-name="फ़ारसी" 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/Onde_transversale" title="Onde transversale – फ़्रेंच" lang="fr" hreflang="fr" data-title="Onde transversale" data-language-autonym="Français" data-language-local-name="फ़्रेंच" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Onda_transversal" title="Onda transversal – गैलिशियन" lang="gl" hreflang="gl" data-title="Onda transversal" data-language-autonym="Galego" data-language-local-name="गैलिशियन" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%92%D7%9C_%D7%A8%D7%95%D7%97%D7%91" title="גל רוחב – हिब्रू" lang="he" hreflang="he" data-title="גל רוחב" data-language-autonym="עברית" data-language-local-name="हिब्रू" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Transverzalni_val" title="Transverzalni val – क्रोएशियाई" lang="hr" hreflang="hr" data-title="Transverzalni val" data-language-autonym="Hrvatski" data-language-local-name="क्रोएशियाई" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Onn_transv%C3%A8sal" title="Onn transvèsal – हैतियाई" lang="ht" hreflang="ht" data-title="Onn transvèsal" data-language-autonym="Kreyòl ayisyen" data-language-local-name="हैतियाई" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Transzverz%C3%A1lis_hull%C3%A1m" title="Transzverzális hullám – हंगेरियाई" lang="hu" hreflang="hu" data-title="Transzverzális hullám" data-language-autonym="Magyar" data-language-local-name="हंगेरियाई" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Gelombang_transversal" title="Gelombang transversal – इंडोनेशियाई" lang="id" hreflang="id" data-title="Gelombang transversal" data-language-autonym="Bahasa Indonesia" data-language-local-name="इंडोनेशियाई" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Onda_trasversale" title="Onda trasversale – इतालवी" lang="it" hreflang="it" data-title="Onda trasversale" data-language-autonym="Italiano" data-language-local-name="इतालवी" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%B8%A6%E6%B3%A2%E3%81%A8%E6%A8%AA%E6%B3%A2" title="縦波と横波 – जापानी" lang="ja" hreflang="ja" data-title="縦波と横波" data-language-autonym="日本語" data-language-local-name="जापानी" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%92%E1%83%90%E1%83%9C%E1%83%98%E1%83%95%E1%83%98_%E1%83%A2%E1%83%90%E1%83%9A%E1%83%A6%E1%83%90" title="განივი ტალღა – जॉर्जियाई" lang="ka" hreflang="ka" data-title="განივი ტალღა" data-language-autonym="ქართული" data-language-local-name="जॉर्जियाई" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%9A%A1%ED%8C%8C" title="횡파 – कोरियाई" lang="ko" hreflang="ko" data-title="횡파" data-language-autonym="한국어" data-language-local-name="कोरियाई" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Skersin%C4%97_banga" title="Skersinė banga – लिथुआनियाई" lang="lt" hreflang="lt" data-title="Skersinė banga" data-language-autonym="Lietuvių" data-language-local-name="लिथुआनियाई" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%BF%D1%80%D0%B5%D1%87%D0%B5%D0%BD_%D0%B1%D1%80%D0%B0%D0%BD" title="Попречен бран – मकदूनियाई" lang="mk" hreflang="mk" data-title="Попречен бран" data-language-autonym="Македонски" data-language-local-name="मकदूनियाई" 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%85%E0%B4%A8%E0%B5%81%E0%B4%AA%E0%B5%8D%E0%B4%B0%E0%B4%B8%E0%B5%8D%E0%B4%A5%E0%B4%A4%E0%B4%B0%E0%B4%82%E0%B4%97%E0%B4%82" title="അനുപ്രസ്ഥതരംഗം – मलयालम" lang="ml" hreflang="ml" data-title="അനുപ്രസ്ഥതരംഗം" data-language-autonym="മലയാളം" data-language-local-name="मलयालम" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%91%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%9C%E1%80%AD%E1%80%AF%E1%80%80%E1%80%BA%E1%80%81%E1%80%AB_%E1%80%9C%E1%80%BE%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8" title="ထောင်လိုက်ခါ လှိုင်း – बर्मीज़" lang="my" hreflang="my" data-title="ထောင်လိုက်ခါ လှိုင်း" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="बर्मीज़" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Transversale_golf" title="Transversale golf – डच" lang="nl" hreflang="nl" data-title="Transversale golf" data-language-autonym="Nederlands" data-language-local-name="डच" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Transversalb%C3%B8lgje" title="Transversalbølgje – नॉर्वेजियाई नॉयनॉर्स्क" lang="nn" hreflang="nn" data-title="Transversalbølgje" data-language-autonym="Norsk nynorsk" data-language-local-name="नॉर्वेजियाई नॉयनॉर्स्क" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Fala_poprzeczna" title="Fala poprzeczna – पोलिश" lang="pl" hreflang="pl" data-title="Fala poprzeczna" data-language-autonym="Polski" data-language-local-name="पोलिश" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Ondas_transversais" title="Ondas transversais – पुर्तगाली" lang="pt" hreflang="pt" data-title="Ondas transversais" data-language-autonym="Português" data-language-local-name="पुर्तगाली" 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/Und%C4%83_transversal%C4%83" title="Undă transversală – रोमानियाई" lang="ro" hreflang="ro" data-title="Undă transversală" data-language-autonym="Română" data-language-local-name="रोमानियाई" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D0%BF%D0%B5%D1%80%D0%B5%D1%87%D0%BD%D0%B0%D1%8F_%D0%B2%D0%BE%D0%BB%D0%BD%D0%B0" title="Поперечная волна – रूसी" lang="ru" hreflang="ru" data-title="Поперечная волна" data-language-autonym="Русский" data-language-local-name="रूसी" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Transverzalni_val" title="Transverzalni val – सेर्बो-क्रोएशियाई" lang="sh" hreflang="sh" data-title="Transverzalni val" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="सेर्बो-क्रोएशियाई" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Transverse_wave" title="Transverse wave – Simple English" lang="en-simple" hreflang="en-simple" data-title="Transverse wave" 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/Prie%C4%8Dne_vlnenie" title="Priečne vlnenie – स्लोवाक" lang="sk" hreflang="sk" data-title="Priečne vlnenie" data-language-autonym="Slovenčina" data-language-local-name="स्लोवाक" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D1%80%D0%B0%D0%BD%D1%81%D0%B2%D0%B5%D1%80%D0%B7%D0%B0%D0%BB%D0%BD%D0%B8_%D1%82%D0%B0%D0%BB%D0%B0%D1%81" title="Трансверзални талас – सर्बियाई" lang="sr" hreflang="sr" data-title="Трансверзални талас" data-language-autonym="Српски / srpski" data-language-local-name="सर्बियाई" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Transversell_v%C3%A5g" title="Transversell våg – स्वीडिश" lang="sv" hreflang="sv" data-title="Transversell våg" data-language-autonym="Svenska" data-language-local-name="स्वीडिश" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AF%81%E0%AE%B1%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%B2%E0%AF%88" title="குறுக்கலை – तमिल" lang="ta" hreflang="ta" data-title="குறுக்கலை" data-language-autonym="தமிழ்" data-language-local-name="तमिल" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Enine_dalga" title="Enine dalga – तुर्की" lang="tr" hreflang="tr" data-title="Enine dalga" data-language-autonym="Türkçe" data-language-local-name="तुर्की" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%90%D1%80%D0%BA%D1%8B%D0%BB%D1%8B_%D0%B4%D1%83%D0%BB%D0%BA%D1%8B%D0%BD" title="Аркылы дулкын – तातार" lang="tt" hreflang="tt" data-title="Аркылы дулкын" data-language-autonym="Татарча / tatarça" data-language-local-name="तातार" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%BF%D0%B5%D1%80%D0%B5%D1%87%D0%BD%D0%B0_%D1%85%D0%B2%D0%B8%D0%BB%D1%8F" title="Поперечна хвиля – यूक्रेनियाई" lang="uk" hreflang="uk" data-title="Поперечна хвиля" data-language-autonym="Українська" data-language-local-name="यूक्रेनियाई" 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%B9%D8%B1%D8%B6%DB%8C_%D9%85%D9%88%D8%AC" title="عرضی موج – उर्दू" lang="ur" hreflang="ur" data-title="عرضی موج" data-language-autonym="اردو" data-language-local-name="उर्दू" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%C3%B3ng_ngang" title="Sóng ngang – वियतनामी" lang="vi" hreflang="vi" data-title="Sóng ngang" data-language-autonym="Tiếng Việt" data-language-local-name="वियतनामी" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%A8%AA%E6%B3%A2" title="横波 – चीनी" lang="zh" hreflang="zh" data-title="横波" data-language-autonym="中文" data-language-local-name="चीनी" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%AB%98%E4%BD%8E%E6%B3%A2" title="高低波 – कैंटोनीज़" lang="yue" hreflang="yue" data-title="高低波" data-language-autonym="粵語" data-language-local-name="कैंटोनीज़" class="interlanguage-link-target"><span>粵語</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/Q691978#sitelinks-wikipedia" title="अंतरभाषा कड़ियाँ संपादित करें" class="wbc-editpage">कड़ियाँ संपादित करें</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="नामस्थान"> <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/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="सामग्री वाला पृष्ठ देखें [c]" accesskey="c"><span>लेख</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE:%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=edit&redlink=1" rel="discussion" class="new" title="सामग्री पृष्ठ के बारे में वार्तालाप (पृष्ठ मौजूद नहीं है) [t]" accesskey="t"><span>संवाद</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="भाषा का प्रकार बदलें" > <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">हिन्दी</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="प्रदर्शन"> <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/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97"><span>पढ़ें</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a 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के स्रोत कोड को संपादित करें [e]" accesskey="e"><span>सम्पादित करें</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=history"><span>इतिहास देखें</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> सामान्य </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%95%E0%A4%A1%E0%A4%BC%E0%A4%BF%E0%A4%AF%E0%A4%BE%E0%A4%81/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="यहाँ का हवाला देने वाले सभी विकि पन्नों की सूची [j]" accesskey="j"><span>यहाँ क्या जुड़ता है</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:RecentChangesLinked/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" rel="nofollow" title="यहाँ जुड़े हुए सभी पन्नों में हुए हाल के बदलाव [k]" accesskey="k"><span>पृष्ठ से जुड़े बदलाव</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/विकिपीडिया:अपलोड" title="फ़ाइल अपलोड करें [u]" accesskey="u"><span>चित्र अपलोड करें</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7_%E0%A4%AA%E0%A5%83%E0%A4%B7%E0%A5%8D%E0%A4%A0" title="सभी विशेष पृष्ठों की सूची [q]" accesskey="q"><span>विशेष पृष्ठ</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&oldid=5378555" title="पृष्ठ के इस संस्करण की स्थायी कड़ी"><span>स्थायी कड़ी</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=info" title="इस पृष्ठ के बारे में अधिक जानकारी"><span>पृष्ठ की जानकारी</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:CiteThisPage&page=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&id=5378555&wpFormIdentifier=titleform" title="इस पृष्ठ को उद्धृत करने के बारे में जानकारी"><span>यह लेख उद्धृत करें</span></a></li><li id="t-urlshortener" class="mw-list-item"><a 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id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> मुद्रण/निर्यात </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=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AA%E0%A5%81%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A4%95&bookcmd=book_creator&referer=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97"><span>पुस्तक बनायें</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:DownloadAsPdf&page=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=show-download-screen"><span>पीडीएफ़ रूप डाउनलोड करें</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&printable=yes" title="इस पृष्ठका छपानेलायक अवतरण [p]" accesskey="p"><span>प्रिन्ट करने लायक</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"> दूसरे परियोजनाओं में </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:Transverse_wave" hreflang="en"><span>विकिमीडिया कॉमन्स</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/Q691978" title="संबद्ध डेटा रिपॉज़िटरी आयटम की कड़ी [g]" accesskey="g"><span>विकिडेटा आयटम</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="पृष्ठ उपकरण"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="दिखावट"> <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">दिखावट</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">छुपाएँ</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">मुक्त ज्ञानकोश विकिपीडिया से</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="hi" dir="ltr"><p><b>अनुप्रस्थ तरंग</b> उस <a href="/wiki/%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="तरंग">तरंग</a> को कहते हैं जिसके दोलन तरंग संचरण की दिशा के लम्बवत होते हैं।<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> इस दृष्टि से अनुप्रस्थ तरंगें, <a href="/wiki/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%A6%E0%A5%88%E0%A4%B0%E0%A5%8D%E0%A4%98%E0%A5%8D%E0%A4%AF_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="अनुदैर्घ्य तरंग">अनुदैर्घ्य तरंगों</a> से अलग हैं जिनमें तरंग की गति दोलन के दिशा में ही होती है। <a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%A4%E0%A4%9A%E0%A5%81%E0%A4%82%E0%A4%AC%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A4%BF%E0%A4%95%E0%A4%BF%E0%A4%B0%E0%A4%A3" title="विद्युतचुंबकीय विकिरण">विद्युतचुम्बकीय तरंगें</a> (जैसे <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%95%E0%A4%BE%E0%A4%B6" title="प्रकाश">प्रकाश</a>, <a href="/wiki/%E0%A4%8A%E0%A4%B7%E0%A5%8D%E0%A4%AE%E0%A4%BE" title="ऊष्मा">ऊष्मा</a> आदि) अनुप्रस्थ तरंगे होतीं हैं। </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:Onde_cisaillement_impulsion_1d_30_petit.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Onde_cisaillement_impulsion_1d_30_petit.gif/220px-Onde_cisaillement_impulsion_1d_30_petit.gif" decoding="async" width="220" height="167" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/6/6d/Onde_cisaillement_impulsion_1d_30_petit.gif 1.5x" data-file-width="305" data-file-height="231" /></a><figcaption>अनुप्रस्थ तरंग</figcaption></figure> <p>यदि एक डोरी लेकर उसके एक सिरे को एक बिन्दु पर बांध दिया जाय, तथा दूसरे सिरे को खींचकर रखते हुए ऊपर-नीचे किया जाय तो इस डोरी में एक अनुप्रस्थ यांत्रिक तरंग स्थापित हो जाती है। इसी प्रकार, ढोलक की तनी हुई झिल्ली पर थाप लगाने से जो तरंग पैदा होती है वह भी अनुप्रस्थ तरंग ही होती है क्योंकि झिल्ली के विभिन्न विन्दुओं का दोलन झिल्ली के तल के लम्बवत होता है जबकि झिल्ली पर स्थापित तरंग झिल्ली के तल की दिशा में गति करती है। </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:Electromagneticwave3D.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Electromagneticwave3D.gif/300px-Electromagneticwave3D.gif" decoding="async" width="300" height="298" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/4/4c/Electromagneticwave3D.gif 1.5x" data-file-width="301" data-file-height="299" /></a><figcaption>एक सामान्य प्रकाश तरंग में विद्युत क्षेत्र तथा चुम्बकीय क्षेत्र दोनों ही प्रकाश की गति के लम्बवत होते हैं। </figcaption></figure> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="गणितीय_निरूपण"><span id=".E0.A4.97.E0.A4.A3.E0.A4.BF.E0.A4.A4.E0.A5.80.E0.A4.AF_.E0.A4.A8.E0.A4.BF.E0.A4.B0.E0.A5.82.E0.A4.AA.E0.A4.A3"></span>गणितीय निरूपण</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=edit&section=1" title="अनुभाग सम्पादित करें: गणितीय निरूपण"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="समतल_रैखिक_ध्रुवित_साइन_तरंग"><span id=".E0.A4.B8.E0.A4.AE.E0.A4.A4.E0.A4.B2_.E0.A4.B0.E0.A5.88.E0.A4.96.E0.A4.BF.E0.A4.95_.E0.A4.A7.E0.A5.8D.E0.A4.B0.E0.A5.81.E0.A4.B5.E0.A4.BF.E0.A4.A4_.E0.A4.B8.E0.A4.BE.E0.A4.87.E0.A4.A8_.E0.A4.A4.E0.A4.B0.E0.A4.82.E0.A4.97"></span>समतल रैखिक ध्रुवित साइन तरंग</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=edit&section=2" title="अनुभाग सम्पादित करें: समतल रैखिक ध्रुवित साइन तरंग"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>गणितीय निरूपण की दृष्टि से अनुप्रस्थ तरंग का सबसे सरल उदाहरण समतल "रैखिक ध्रुवित साइन तरंग" (plane linearly polarized sinusoidal) है। इसमें 'समतल' का अर्थ है कि तरंग की गति अपरिवर्तित है तथा पूरे माध्यम में (सर्वत्र) एक ही है ; <a href="/w/index.php?title=%E0%A4%A7%E0%A5%8D%E0%A4%B0%E0%A5%81%E0%A4%B5%E0%A4%A3_(%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97)&action=edit&redlink=1" class="new" title="ध्रुवण (तरंग) (पृष्ठ मौजूद नहीं है)">रैखिक ध्रुवित</a> (linearly polarized) का अर्थ है कि पूरे माध्यम में विस्थापन की दिशा भी अपरिवर्तित रहती है; तथा विस्थापन का परिमाण केवल समय और तरंग की गति की दिशा में स्थिति का साइन (sinusoidal function ) फलन है। </p><p>ऐसे तरंग की गति को निम्नलिखित प्रकार से अभिव्यक्त किया जा सकता है- </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 S(p,t)=Au\sin {\left({\frac {t-(p-o)\cdot {\frac {d}{v}}}{T}}+\phi \right)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>A</mi> <mi>u</mi> <mi>sin</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>t</mi> <mo>−</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>o</mi> <mo stretchy="false">)</mo> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mi>v</mi> </mfrac> </mrow> </mrow> <mi>T</mi> </mfrac> </mrow> <mo>+</mo> <mi>ϕ</mi> </mrow> <mo>)</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S(p,t)=Au\sin {\left({\frac {t-(p-o)\cdot {\frac {d}{v}}}{T}}+\phi \right)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc0c56c37e8a5d7771f9f115100f62eb18a9150b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:38.898ex; height:7.676ex;" alt="{\displaystyle S(p,t)=Au\sin {\left({\frac {t-(p-o)\cdot {\frac {d}{v}}}{T}}+\phi \right)}}"></span></dd></dl> <p>जहाँ <i>p</i> किसी समय <i>t</i> (seconds) पर कण का विस्थापन है। <i>d</i> तरंग-गति की दिशा में <a href="/wiki/%E0%A4%87%E0%A4%95%E0%A4%BE%E0%A4%88_%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6" title="इकाई सदिश">इकाई सदिश</a> है, तथा <i>o</i> माध्यम में स्थित कोई सन्दर्भ बिन्दु है। माना <i>u</i> दोलन की दिशा में एक ईकाई-सदिश है (<i>d</i> के लम्बवत)। <i>A</i> तरंग का आयाम है, <i>T</i> इसका आवर्तकाल है, <i>v</i> तरंग की चाल है, <i>φ</i> इस तरंग की <i>o</i> बिन्दु पर कला (फेज) है। ये सभी पैरामीटर वास्तविक हैं और संकेत "•" दो सदिशों के आन्तरिक गुणनफल को अभिव्यक्त करता है। </p><p>कोई प्रेक्षक यदि किसी नियत बिन्दु <i>p</i> पर देखता है तो उसको उस बिन्दु पर स्थित कण <a href="/wiki/%E0%A4%B8%E0%A4%B0%E0%A4%B2_%E0%A4%86%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4_%E0%A4%97%E0%A4%A4%E0%A4%BF" title="सरल आवर्त गति">सरल आवर्त गति</a> करते हुए मालूम चलेंगे जिसका आवर्तकाल <i>T</i> सेकेण्ड, और अधिकतम विस्थापन <i>A</i> है। </p> <div class="mw-heading mw-heading2"><h2 id="सन्दर्भ"><span id=".E0.A4.B8.E0.A4.A8.E0.A5.8D.E0.A4.A6.E0.A4.B0.E0.A5.8D.E0.A4.AD"></span>सन्दर्भ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97&action=edit&section=3" title="अनुभाग सम्पादित करें: सन्दर्भ"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://books.google.co.in/books?id=OutOAgAAQBAJ&pg=SL1-PA138">"संग्रहीत प्रति"</a>. मूल से 10 जून 2015 को <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150610091427/https://books.google.co.in/books?id=OutOAgAAQBAJ&pg=SL1-PA138">पुरालेखित</a><span class="reference-accessdate">. अभिगमन तिथि 10 जून 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=%E0%A4%B8%E0%A4%82%E0%A4%97%E0%A5%8D%E0%A4%B0%E0%A4%B9%E0%A5%80%E0%A4%A4+%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BF&rft_id=https%3A%2F%2Fbooks.google.co.in%2Fbooks%3Fid%3DOutOAgAAQBAJ%26pg%3DSL1-PA138&rfr_id=info%3Asid%2Fhi.wikipedia.org%3A%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B8%E0%A5%8D%E0%A4%A5+%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" class="Z3988"></span><style data-mw-deduplicate="TemplateStyles:r5547232">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free 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