{"id":111486,"date":"2024-02-01T13:00:00","date_gmt":"2024-02-01T16:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=111486"},"modified":"2024-09-26T09:31:36","modified_gmt":"2024-09-26T12:31:36","slug":"quantizacao-de-energia","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/","title":{"rendered":"Quantiza\u00e7\u00e3o de energia: o que \u00e9, modelo de Bohr e quest\u00e3o de vestibular"},"content":{"rendered":"<p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-0d5c2441-925f-4cdd-8843-5bc4c651d570\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> e a <span id=\"urn:enhancement-bd234c58-7a6b-4a48-93f0-e36f17af6320\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quimica\">qu&iacute;mica<\/span> <span id=\"urn:enhancement-7503628e-8a13-4dac-96d0-7f6127f7afb6\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mecanica-quantica\">qu&acirc;ntica<\/span> s&atilde;o duas &aacute;reas da ci&ecirc;ncia moderna que estudam o comportamento da luz, considerando que um feixe luminoso &eacute; composto por min&uacute;sculas <span id=\"urn:enhancement-dfb3082f-fa56-417a-a2dd-b3638344a690\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/particulas\">part&iacute;culas<\/span>. Cada uma dessas pequenas por&ccedil;&otilde;es possuem um conte&uacute;do energ&eacute;tico, que &eacute; estudado a partir da <span id=\"urn:enhancement-ddc83b37-95be-4d91-9a10-ce21349c5bf0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quantizacao\">quantiza&ccedil;&atilde;o<\/span> de <span id=\"urn:enhancement-df96706b-6295-4a8c-a91f-28a625d44288\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>.&nbsp;<p class=\"wp-block-paragraph\">Neste artigo, entenda aspectos b&aacute;sicos da <span id=\"urn:enhancement-0c4399e3-9eb4-423e-8548-6e2e1db1bb92\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quantizacao\">quantiza&ccedil;&atilde;o<\/span> de <span id=\"urn:enhancement-25b7272b-c02e-4661-b753-815d44cf1845\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>, como esses conceitos se relacionam com o modelo at&ocirc;mico proposto por <span id=\"urn:enhancement-49fdd1e1-94bb-45bf-92d6-c336bc937c61\" class=\"textannotation disambiguated wl-person\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/ernest-rutherford\">Rutherford<\/span>-Bohr, al&eacute;m de entender como &eacute; aplicado no cotidiano da sociedade atual. Por fim, veja como esse tema pode ser cobrado nos vestibulares nacionais, com uma quest&atilde;o resolvida por especialistas do Estrat&eacute;gia Vestibulares.<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/#O-que-e-quantizacao-de-energia\" >O que &eacute; quantiza&ccedil;&atilde;o de energia?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/#Modelo-de-Rutherford-Bohr-e-quantizacao-de-energia\" >Modelo de Rutherford-Bohr e quantiza&ccedil;&atilde;o de energia<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/#Aplicacoes-da-quantizacao-de-energia-no-cotidiano\" >Aplica&ccedil;&otilde;es da quantiza&ccedil;&atilde;o de energia no cotidiano<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/#Questao-de-vestibular-sobre-quantizacao-de-energia\" >Quest&atilde;o de vestibular sobre quantiza&ccedil;&atilde;o de energia<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/quantizacao-de-energia\/#Estude-mais-com-a-Coruja\" >Estude mais com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-quantizacao-de-energia\"><span class=\"ez-toc-section\" id=\"O-que-e-quantizacao-de-energia\"><\/span>O que &eacute; quantiza&ccedil;&atilde;o de energia?<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-fisica-moderna-e-quantizacao-de-energia\">F&iacute;sica moderna e quantiza&ccedil;&atilde;o de energia<\/h3><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-8ea92061-4d98-4b68-91eb-81bf8c305927\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> cl&aacute;ssica &eacute; a ci&ecirc;ncia que estuda as transforma&ccedil;&otilde;es que ocorrem em n&iacute;vel macrosc&oacute;pico, como a movimenta&ccedil;&atilde;o dos corpos, flutua&ccedil;&atilde;o de objetos em fluidos, reflex&atilde;o e <span id=\"urn:enhancement-de37517e-0225-4ce3-a46a-29a80b9825fb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/refracao\">refra&ccedil;&atilde;o<\/span> dos raios luminosos, entre outros fen&ocirc;menos f&iacute;sicos da natureza.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em dado momento da hist&oacute;ria, a partir do s&eacute;culo XIX, aumentou-se, ent&atilde;o, a curiosidade sobre os eventos que ocorrem em ambientes n&atilde;o vis&iacute;veis a olhos nu, e assim surgiu a <span id=\"urn:enhancement-bb54c79f-61d8-47bb-b8e4-03561a7d55c2\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> e a <span id=\"urn:enhancement-ab7435b9-9819-4c17-9788-206068232af8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quimica\">qu&iacute;mica<\/span> modernas. Um dos temas explorados &eacute; o comportamento da luz em ambientes microsc&oacute;picos, especialmente em um ramo da ci&ecirc;ncia moderna que &eacute; a <span id=\"urn:enhancement-93ac2a42-b0b0-468d-b8cd-c22f275fcaf7\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> <span id=\"urn:enhancement-de936a12-8e36-4832-b10c-cc854787f5f6\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mecanica-quantica\">qu&acirc;ntica<\/span>.<\/p><h3 class=\"wp-block-heading\" id=\"h-conceito-de-quantizacao-de-energia\">Conceito de quantiza&ccedil;&atilde;o de energia<\/h3><p class=\"wp-block-paragraph\">A <span id=\"urn:local-annotation-826267\" class=\"textannotation disambiguated\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quantizacao-de-energia\">quantiza&ccedil;&atilde;o de energia<\/span>, ent&atilde;o, &eacute; um processo que s&oacute; pode ser contemplado a n&iacute;vel microsc&oacute;pico. Nesse caso, os feixes luminosos s&atilde;o estudados como um conjunto de pequenas <span id=\"urn:enhancement-506930d6-67af-43dc-8db5-586cf3a0accd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/particulas\">part&iacute;culas<\/span> que est&atilde;o sempre em movimento e que permitem uma intera&ccedil;&atilde;o da luz com os &aacute;tomos da <span id=\"urn:enhancement-fa5a3bee-1178-44dd-b00f-39e52dfc7269\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">mat&eacute;ria<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Diferentemente dos modelos da &oacute;ptica geom&eacute;trica, aqui, a luz n&atilde;o &eacute; estudada apenas como uma onda <span id=\"urn:enhancement-b429af51-d933-4276-88ad-b1ab49d89149\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eletrodinamica\">eletromagn&eacute;tica<\/span>, que possui velocidade de propaga&ccedil;&atilde;o, <span id=\"urn:enhancement-27a8dbde-2753-4d3d-9494-853846681f31\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/comprimento-de-onda\">comprimento de onda<\/span> e frequ&ecirc;ncia. Mas tamb&eacute;m como um grupo de <span id=\"urn:enhancement-0ce0d29d-3b62-4db7-b800-99a9af854415\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/particulas\">part&iacute;culas<\/span> que podem interagir com outras <span id=\"urn:enhancement-362f3ccd-c889-41e2-831e-0ccf5afff688\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/particulas\">part&iacute;culas<\/span> e com os &aacute;tomos.&nbsp;<\/p><p class=\"wp-block-paragraph\">Nesse contexto, cada f&oacute;ton que constitui um raio luminoso possui uma <span id=\"urn:enhancement-56236863-aab7-400d-a76d-d903b97fe1d7\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> agregada em si, que se movimenta constantemente. Quando a luz est&aacute; em intera&ccedil;&atilde;o com um <span id=\"urn:enhancement-f7c8dbf1-e454-4f4f-a3e4-19fa9650b5bf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/atomo\">&aacute;tomo<\/span>, &eacute; poss&iacute;vel que os f&oacute;tons transitem dentro da &oacute;rbita eletr&ocirc;nica e, assim, permitam a transfer&ecirc;ncia de <span id=\"urn:enhancement-8560168e-f025-47fc-99ed-bc6f3aca5780\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-constante-de-planck\">Constante de Planck<\/h3><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-bc68d565-27cf-4832-8e55-1d7cfa76cacb\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> liberada ou absorvida pelo <span id=\"urn:enhancement-7beb23f7-c796-4b5a-a3d5-62c716436ca2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/atomo\">&aacute;tomo<\/span> pode ter um valor atribu&iacute;do, como a <span id=\"urn:enhancement-0bc40c46-681d-4c4e-9d48-04c12b40a5ba\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> de cada f&oacute;ton. Por meio de estudos e experimentos, um <span id=\"urn:enhancement-2956115b-0485-4699-aefe-1509e7f78a5d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisico\">f&iacute;sico<\/span> alem&atilde;o chamado Max Planck concluiu que existe um valor constante atribu&iacute;do aos f&oacute;tons (h) e que &eacute; multiplicado conforme a frequ&ecirc;ncia do raio luminoso (f), o resultado dessa multiplica&ccedil;&atilde;o &eacute; a <span id=\"urn:enhancement-e2fadab1-c443-4e23-807f-f0aefc57b954\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> (E) atribu&iacute;da a um f&oacute;ton espec&iacute;fico, como demonstra a f&oacute;rmula abaixo.<\/p><p class=\"has-text-align-center wp-block-paragraph\">E = h.f&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">E: <span id=\"urn:enhancement-bc506a9b-f3c1-4124-88d2-29313cbe29bf\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> do f&oacute;ton<\/p><p class=\"has-text-align-center wp-block-paragraph\">h: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/constante-de-planck\/\" target=\"_blank\">constante de Planck <\/a>(h = 6,6 &times; 10<sup>-34 <\/sup>m<sup>2<\/sup> kg \/ s)<\/p><p class=\"has-text-align-center wp-block-paragraph\">f = frequ&ecirc;ncia do raio luminoso<\/p><h2 class=\"wp-block-heading\" id=\"h-modelo-de-rutherford-bohr-e-quantizacao-de-energia\"><span class=\"ez-toc-section\" id=\"Modelo-de-Rutherford-Bohr-e-quantizacao-de-energia\"><\/span>Modelo de Rutherford-Bohr e quantiza&ccedil;&atilde;o de energia<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/modelos-atomicos\/\" target=\"_blank\">modelo at&ocirc;mico <\/a>que permitiu compreender melhor a <span id=\"urn:enhancement-bff308c2-bf37-43c9-84a3-18e9b56c888b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quantizacao\">quantiza&ccedil;&atilde;o<\/span> de <span id=\"urn:enhancement-34d856c3-1d16-457a-93a9-ced1dfe1a500\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> foi o criado por <span id=\"urn:enhancement-95d8edc8-9a89-41cc-8e58-70b294bd0436\" class=\"textannotation disambiguated wl-person\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/ernest-rutherford\">Rutherford<\/span>-Bohr, mas especificamente as contribui&ccedil;&otilde;es de Niels Bohr se relacionam muito com a transmiss&atilde;o de pacotes de energias em f&oacute;tons.&nbsp;<\/p><p class=\"wp-block-paragraph\">Nessa estrutura at&ocirc;mica, os el&eacute;trons transitam em &oacute;rbitas eletr&ocirc;nicas que possuem um valor espec&iacute;fico, ent&atilde;o, &agrave; medida que pequenos pacotes de <span id=\"urn:enhancement-dc6b327c-1007-4396-b961-93a315e66902\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> transitam entre uma trajet&oacute;ria orbit&aacute;ria e outra, h&aacute; libera&ccedil;&atilde;o de <span id=\"urn:enhancement-a87a41c2-21dc-4255-a123-a46918ed6de2\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/sSWJ10qs06F-D9rXLNzTMl0B9Wi881ZPtisOreFiGWlqewVhUwLwxWLKOTFVuP2vw3ycf4aKOpr2gMEJI9Ccb0DzhV9Y6pGZoBbcIoopqTB8o9M9rOUGIJn7onh-MOKOdcoaJjO5GCPsydkvWy7AjAA\" alt=\"quantiza&ccedil;&atilde;o de energia no &aacute;tomo\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Observe na imagem acima que, quanto mais afastada do centro nuclear, maior a <span id=\"urn:enhancement-6fda3cf1-2f3c-4798-b1fc-2fb8cfeebd1d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> presente nas &oacute;rbitas eletr&ocirc;nicas. Note, ainda, que a emiss&atilde;o de um f&oacute;ton &eacute; dada pela mudan&ccedil;a de um anel para outro, de forma que a <span id=\"urn:enhancement-98982a12-a470-4fa6-86f7-54ef61e08443\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> liberada &eacute; resultado da diferen&ccedil;a de capacidade eletr&ocirc;nica de cada &oacute;rbita.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-aplicacoes-da-quantizacao-de-energia-no-cotidiano\"><span class=\"ez-toc-section\" id=\"Aplicacoes-da-quantizacao-de-energia-no-cotidiano\"><\/span>Aplica&ccedil;&otilde;es da quantiza&ccedil;&atilde;o de energia no cotidiano<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Uma das aplica&ccedil;&otilde;es mais importantes da <span id=\"urn:enhancement-27bf5db3-08e6-4352-85db-41232adc9e3d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quantizacao\">quantiza&ccedil;&atilde;o<\/span> de <span id=\"urn:enhancement-f182f8b2-37fc-4b94-b13e-58815134a210\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> est&aacute; no efeito fotoel&eacute;trico desenvolvido por Albert Einstein no s&eacute;culo passado. Nesse processo <span id=\"urn:enhancement-c7adcb8e-cfd7-4244-8cc9-9efe5d08de15\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisico\">f&iacute;sico<\/span> e qu&iacute;mico, a emiss&atilde;o de raios luminosos sobre um metal, em frequ&ecirc;ncias espec&iacute;ficas, permite a emiss&atilde;o de el&eacute;trons e gera&ccedil;&atilde;o de <span id=\"urn:enhancement-3ae7a84a-730f-4041-b1ce-2b0374670f96\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Com essa movimenta&ccedil;&atilde;o dos f&oacute;tons e el&eacute;trons, a <span id=\"urn:enhancement-169a20d0-a33c-4fba-985c-3ccd532e2cff\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> gerada pode ser armazenada para utiliza&ccedil;&atilde;o futura. Uma das aplica&ccedil;&otilde;es mais famosas s&atilde;o as placas de capta&ccedil;&atilde;o da <span id=\"urn:enhancement-918edf1f-0a80-4c9d-ad31-3d2dee23f839\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> solar, que permitem o aquecimento de chuveiros e a transmiss&atilde;o de <span id=\"urn:enhancement-ddb8703c-6454-43f0-8d70-27f263afd22e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-eletrica\">energia el&eacute;trica<\/span> em diversos locais do mundo, inclusive em pa&iacute;ses tropicais com grande incid&ecirc;ncia solar, como o Brasil.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-de-vestibular-sobre-quantizacao-de-energia\"><span class=\"ez-toc-section\" id=\"Questao-de-vestibular-sobre-quantizacao-de-energia\"><\/span>Quest&atilde;o de vestibular sobre quantiza&ccedil;&atilde;o de energia<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Fuvest &ndash; Segunda Fase (2022)<\/p><p class=\"wp-block-paragraph\">O laser consiste em uma fonte de luz coerente e monocrom&aacute;tica, sendo largamente utilizado em leitores de c&oacute;digos de barras e tamb&eacute;m em aplica&ccedil;&otilde;es na <span id=\"urn:enhancement-d0f9ca5a-436a-4048-914e-a69ef368ad31\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, na medicina e em outras &aacute;reas. Seu princ&iacute;pio de funcionamento &eacute; baseado na emiss&atilde;o estimulada de f&oacute;tons. Em um tipo comum de laser, uma quantidade de &aacute;tomos &eacute; excitada para um estado de <span id=\"urn:enhancement-efe58534-148b-43cc-8e2d-009a9edc20a9\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> E&#8322;. Em seguida, alguns desses &aacute;tomos s&atilde;o estimulados a decair para um estado de <span id=\"urn:enhancement-b2b114fe-7d9a-4387-a69e-e49b69640b23\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> menor E&#8321;, emitindo um f&oacute;ton com <span id=\"urn:enhancement-4ddba847-da29-4350-90e9-ed8348cd1330\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> dada pela diferen&ccedil;a entre E&#8322; e E&#8321;. De modo similar, esse decaimento estimula outros &aacute;tomos a emitir f&oacute;tons formando um processo em cadeia com gera&ccedil;&atilde;o de luz.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/Oac35CZ0XNdGoF_lIxvFVyPH9Lx9BAmGl-cTV9oLA_R7_Im3Z0weKzDYR5xTD-oOmnhgdi9AZbJPMO1pSQEeEHpu1ul5JYixAyFdIBRchrKiCJDExT2FGhrhpI28z6YbWIH5qIMYyYIc77OUJMsQWzM\" alt=\"Quest&atilde;o de vestibular sobre quantiza&ccedil;&atilde;o de energia\"><\/figure><p class=\"wp-block-paragraph\">Note e adote:<\/p><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-750ad46a-496f-4e07-ba29-f8763ede8db1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> E de um f&oacute;ton relaciona-se com sua frequ&ecirc;ncia f por meio da rela&ccedil;&atilde;o E = hf, onde h = 4 &times; 10&#8315;&sup1;&#8309; eV.s e a frequ&ecirc;ncia &eacute; dada em Hz.&nbsp;<\/p><p class=\"wp-block-paragraph\">Velocidade da luz no v&aacute;cuo: c = 3 &times; 10&#8312; m\/s.<\/p><p class=\"wp-block-paragraph\">Legenda para dalt&ocirc;nicos: Gr&aacute;fico do espectro vis&iacute;vel com cores em fun&ccedil;&atilde;o do <span id=\"urn:enhancement-566c5e8e-d126-4151-a373-54c44d630ea0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/comprimento-de-onda\">comprimento de onda<\/span>, que se inicia no azul (lado esquerdo a 400 nm), passando pelo verde (500 nm), amarelo (550 nm), laranja (600 nm) e terminando no vermelho (lado direito a 700 nm).<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>Qual tipo de laser emite f&oacute;tons com maior <span id=\"urn:enhancement-20051e37-297d-4867-9e46-2b1561415166\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>: o de luz vermelha ou o de luz azul? Justifique sua resposta.<\/p><p class=\"wp-block-paragraph\"><strong>Resposta correta poss&iacute;vel: <\/strong>Do enunciado, temos que a <span id=\"urn:enhancement-ce0bdfac-2bdb-4524-b711-54b663b3d789\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> de um f&oacute;ton &eacute; dada por:<\/p><p class=\"wp-block-paragraph\">E= h&sdot;f= (h&sdot;v)\/&lambda;<\/p><p class=\"wp-block-paragraph\">Como o <span id=\"urn:enhancement-f054a881-6820-4039-b507-1bd63754fd31\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/comprimento-de-onda\">comprimento de onda<\/span> e a <span id=\"urn:enhancement-2c08d707-8baa-409a-ad20-4c72ea3c6bbd\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> do f&oacute;ton s&atilde;o grandezas <span id=\"urn:enhancement-19132eef-82cb-443d-b5a4-ca20823a3a81\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/inversamente-proporcionais\">inversamente proporcionais<\/span>, quanto menor for o &lambda;, maior ser&aacute; a E. Dessa forma, o f&oacute;ton com maior <span id=\"urn:enhancement-74451cba-8f20-4015-ac12-c36746f684d9\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> ser&aacute; o que apresenta o menor <span id=\"urn:enhancement-8a5a8314-6ce6-4159-a802-f957e871499c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/comprimento-de-onda\">comprimento de onda<\/span>. Ent&atilde;o, o laser que emite f&oacute;tons com maior <span id=\"urn:enhancement-d0673e35-078a-4100-bd59-4de80589b8e8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> &eacute; o de luz azul.<\/p><p class=\"wp-block-paragraph\"><strong>B)<\/strong> Determinannotation&rdquo;&gt;cement-d0673e35-078a-4100-bd59-4de80589b8e8&Prime; class=&rdquo;textannotation&rdquo;&gt;e a frequ&ecirc;ncia (em Hz) de um f&oacute;ton com <span id=\"urn:enhancement-7f0192f7-740d-4093-831a-0dc954f8202e\" class=\"textannot&lt;\/span&gt;ation disambiguated wl-thing&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249&lt;\/span&gt;\/entity\/comprimento-de-onda&rdquo;&gt;comprimento de onda&lt;\/span&gt; na regi&atilde;o de cor laranja mostrada na figura.&lt;\/p&gt;\n\n\n\n&lt;p class=\" wp-block-paragraph><strong>Resposta correta poss&iacute;vel: <\/strong>Dos conhecimentos de ondulat&oacute;ria, temos que:<\/span><\/p><p class=\"wp-block-paragraph\">v = &lambda;.&fnof;<br>3.10<sup>8<\/sup> = 600 . 10<sup>-9<\/sup> . &fnof;<br>&fnof; = 5 . 10<sup>14<\/sup> Hz<\/p><p class=\"wp-block-paragraph\"><strong>C) <\/strong>Determine o <span id=\"urn:enhancement-2d430242-be9f-49fd-b673-e7546b3081f1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/comprimento-de-onda\">comprimento de onda<\/span> de um f&oacute;ton (em nm) considerando um laser cujas energias E&#8322; e E&#8321; correspondem aproximadamente a 20,2 eV e 18,7 eV, respectivamente.<\/p><p class=\"wp-block-paragraph\"><strong>Resposta correta poss&iacute;vel: <\/strong>Do enunciado, temos que a <span id=\"urn:enhancement-16ccc15b-94b9-453d-ae39-fe902d08edc3\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> de um f&oacute;ton &eacute; dada por&nbsp;<\/p><p class=\"wp-block-paragraph\">E= h&sdot;f= (h&sdot;v)\/&lambda;<\/p><p class=\"wp-block-paragraph\">Como o laser &eacute; gerado pela diferen&ccedil;a entre duas energias E<sub>2<\/sub>&nbsp; e E<sub>1<\/sub>, ent&atilde;o &eacute; poss&iacute;vel construir o <span id=\"urn:enhancement-03fec0b9-6a1a-4dec-bacd-b1876989d393\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/calculo\">c&aacute;lculo<\/span> em que&nbsp;<\/p><p class=\"wp-block-paragraph\">E<sub>2<\/sub> &ndash; E<sub>1<\/sub> = (h&sdot;v)\/&lambda;<\/p><p class=\"wp-block-paragraph\">Como trata-se da velocidade da luz, pode-se substituir v = c = 3.10<sup>8<\/sup> m\/s<\/p><p class=\"wp-block-paragraph\">E<sub>2<\/sub> &ndash; E<sub>1<\/sub> = (h&sdot;c)\/&lambda;<\/p><p class=\"wp-block-paragraph\">Com a substitui&ccedil;&atilde;o dos valores, tem-se que<\/p><p class=\"wp-block-paragraph\">20,2 &ndash; 18,7 = (4.10<sup>-15<\/sup>&sdot;3.10<sup>8<\/sup>)\/&lambda;<br>20,2 &ndash; 18,7 = (4.10<sup>-15<\/sup>&sdot;3.10<sup>8<\/sup>)\/&lambda;<br>1,5 = (12.10<sup>-7<\/sup>)\/&lambda;<br>1,5.&lambda; = 12.10<sup>-7<\/sup><br>&lambda; = 12.10<sup>-7<\/sup>\/1,5<br>&lambda; = 12.10<sup>-7<\/sup>\/1,5<br>&lambda; = 8.10<sup>-7<\/sup><\/p><p class=\"wp-block-paragraph\">Para converter o valor encontrado em <span id=\"urn:enhancement-dbd7148c-a448-4000-b7a5-ab9ed4e2555a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/ordem-de-grandeza\">ordens de grandeza<\/span> comuns da <span id=\"urn:enhancement-a6ab14a3-efd4-4950-86a1-a62d626e6a3d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, &eacute; poss&iacute;vel manipul&aacute;-lo assim:&nbsp;<\/p><p class=\"wp-block-paragraph\">&lambda; = 800.10<sup>-9 <\/sup>, garantindo que 10<sup>-9<\/sup> &eacute; nano (&#3607;), a resposta seria 800 &#3607;m.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-estude-mais-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-mais-com-a-Coruja\"><\/span>Estude mais com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O Estrat&eacute;gia Vestibulares &eacute; uma plataforma de estudo com milhares de quest&otilde;es de vestibulares respondidas de todo o Pa&iacute;s. O<a href=\"https:\/\/vestibulares.estrategiaeducacional.com.br\/\" target=\"_blank\"> Banco de Quest&otilde;es<\/a> abrange todas as disciplinas, com resolu&ccedil;&atilde;o de professores especialistas e muitos v&iacute;deos explicativos.&nbsp;<\/p><p class=\"wp-block-paragraph\">Nos cursos preparat&oacute;rios da Coruja, voc&ecirc; ter&aacute; acesso a aulas espec&iacute;ficas, de acordo com o conte&uacute;do program&aacute;tico de cada <span id=\"urn:enhancement-41f729d5-43d1-4f31-ae91-c5e890795d88\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/disciplina\">disciplina<\/span>, com <span id=\"urn:enhancement-a0bc4baa-fde8-482a-83bf-4de5b9b6b6cd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">material<\/span> did&aacute;tico de qualidade, em diferentes plataformas multim&iacute;dias. Clique no banner abaixo e saiba mais!<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/12\/EV1.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 1\" title=\"CTA - Estrat\u00e9gia Vestibulares 1\">\n        <\/a>\n\n\n\n\n<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"A f&iacute;sica e a qu&iacute;mica qu&acirc;ntica s&atilde;o duas &aacute;reas da ci&ecirc;ncia moderna que estudam o comportamento da luz,&hellip;\n","protected":false},"author":23,"featured_media":111369,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-111486","post","type-post","status-publish","format-standard","has-post-thumbnail","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Quantiza\u00e7\u00e3o de energia: o que \u00e9, modelo de Bohr e quest\u00f5es<\/title>\n<meta name=\"description\" content=\"Entenda aspectos b\u00e1sicos da quantiza\u00e7\u00e3o de energia, como esses conceitos se as \u00f3rbitas at\u00f4micas e qual sua aplica\u00e7\u00e3o no cotidiano.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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