{"id":168491,"date":"2024-11-17T15:41:10","date_gmt":"2024-11-17T15:41:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168491"},"modified":"2024-11-17T15:41:13","modified_gmt":"2024-11-17T15:41:13","slug":"what-is-the-frequency-of-a-green-light-with-a-wavelength-of-520-nm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/17\/what-is-the-frequency-of-a-green-light-with-a-wavelength-of-520-nm\/","title":{"rendered":"What is the frequency of a green light with a wavelength of 520 nm"},"content":{"rendered":"\n<p>What is the frequency of a green light with a wavelength of 520 nm?<br>[?] \u00d7 10<br>Hz<br>c = 3.0 x 108 m\/s<br>Hint: Watch your units!<br>Be sure to enter both the coefficient and the exponent.<br>Coefficient (green)<br>Exponent (yellow)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">provide the correct answer and 300 words explanation<\/mark><\/strong><\/p>\n\n\n\n<p>To find the frequency (fff) of a green light with a given wavelength (\u03bb\\lambda\u03bb) of 520 nm, we use the wave equation:c=\u03bbfc = \\lambda fc=\u03bbf<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ccc is the speed of light (3.0\u00d7108\u2009m\/s3.0 \\times 10^8 \\, \\text{m\/s}3.0\u00d7108m\/s),<\/li>\n\n\n\n<li>\u03bb\\lambda\u03bb is the wavelength in meters,<\/li>\n\n\n\n<li>fff is the frequency in hertz (Hz).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the wavelength to meters<\/h3>\n\n\n\n<p>The given wavelength is 520 nm (nanometers). To convert nanometers to meters, we use the conversion factor:1\u2009nm=1\u00d710\u22129\u2009m1 \\, \\text{nm} = 1 \\times 10^{-9} \\, \\text{m}1nm=1\u00d710\u22129m<\/p>\n\n\n\n<p>Thus:520\u2009nm=520\u00d710\u22129\u2009m=5.20\u00d710\u22127\u2009m520 \\, \\text{nm} = 520 \\times 10^{-9} \\, \\text{m} = 5.20 \\times 10^{-7} \\, \\text{m}520nm=520\u00d710\u22129m=5.20\u00d710\u22127m<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Rearrange the wave equation to solve for frequency<\/h3>\n\n\n\n<p>The wave equation is:c=\u03bbfc = \\lambda fc=\u03bbf<\/p>\n\n\n\n<p>Solving for fff:f=c\u03bbf = \\frac{c}{\\lambda}f=\u03bbc\u200b<\/p>\n\n\n\n<p>Substitute the known values:f=3.0\u00d7108\u2009m\/s5.20\u00d710\u22127\u2009mf = \\frac{3.0 \\times 10^8 \\, \\text{m\/s}}{5.20 \\times 10^{-7} \\, \\text{m}}f=5.20\u00d710\u22127m3.0\u00d7108m\/s\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the frequency<\/h3>\n\n\n\n<p>Now, perform the calculation:f=3.0\u00d71085.20\u00d710\u22127=5.77\u00d71014\u2009Hzf = \\frac{3.0 \\times 10^8}{5.20 \\times 10^{-7}} = 5.77 \\times 10^{14} \\, \\text{Hz}f=5.20\u00d710\u221273.0\u00d7108\u200b=5.77\u00d71014Hz<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Express in scientific notation<\/h3>\n\n\n\n<p>The frequency of the green light is approximately:f=5.77\u00d71014\u2009Hzf = 5.77 \\times 10^{14} \\, \\text{Hz}f=5.77\u00d71014Hz<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The frequency (fff) of electromagnetic waves is inversely proportional to the wavelength (\u03bb\\lambda\u03bb). Since green light has a wavelength of 520 nm, it falls within the visible spectrum, and we can see that the frequency is in the order of 101410^{14}1014 Hz. This frequency corresponds to light that oscillates 577 trillion times per second, which is typical for visible light in the green range.<\/p>\n\n\n\n<p>In conclusion, the frequency of the green light with a wavelength of 520 nm is approximately 5.77\u00d710145.77 \\times 10^{14}5.77\u00d71014 Hz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the frequency of a green light with a wavelength of 520 nm?[?] \u00d7 10Hzc = 3.0 x 108 m\/sHint: Watch your units!Be sure to enter both the coefficient and the exponent.Coefficient (green)Exponent (yellow) provide the correct answer and 300 words explanation To find the frequency (fff) of a green light with a given [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168491","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168491","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168491"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168491\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168491"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168491"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168491"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}