{"id":201761,"date":"2025-03-15T22:23:31","date_gmt":"2025-03-15T22:23:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=201761"},"modified":"2025-03-15T22:23:33","modified_gmt":"2025-03-15T22:23:33","slug":"the-wavelength-of-a-particular-color-of-yellow-light-is-584-nm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/15\/the-wavelength-of-a-particular-color-of-yellow-light-is-584-nm\/","title":{"rendered":"The wavelength of a particular color of yellow light is 584 nm"},"content":{"rendered":"\n<p>The wavelength of a particular color of yellow light is 584 nm. The energy of this wavelength of light is kJ\/photon. (109 nm = 1 m)<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the energy of a photon with a wavelength of 584 nm (nanometers), we can use the formula:<\/p>\n\n\n\n<p>[ E = \\frac{h \\cdot c}{\\lambda} ]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( E ) is the energy of the photon.<\/li>\n\n\n\n<li>( h ) is Planck&#8217;s constant, approximately ( 6.626 \\times 10^{-34} \\, \\text{J} \\cdot \\text{s} ).<\/li>\n\n\n\n<li>( c ) is the speed of light, approximately ( 3.00 \\times 10^{8} \\, \\text{m\/s} ).<\/li>\n\n\n\n<li>( \\lambda ) is the wavelength of the light in meters.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 1: Convert the wavelength to meters.<\/strong><\/p>\n\n\n\n<p>Given that ( 1 \\, \\text{nm} = 10^{-9} \\, \\text{m} ), a wavelength of 584 nm is:<\/p>\n\n\n\n<p>[ \\lambda = 584 \\, \\text{nm} \\times 10^{-9} \\, \\frac{\\text{m}}{\\text{nm}} = 5.84 \\times 10^{-7} \\, \\text{m} ]<\/p>\n\n\n\n<p><strong>Step 2: Calculate the energy in joules.<\/strong><\/p>\n\n\n\n<p>Substitute the known values into the energy formula:<\/p>\n\n\n\n<p>[ E = \\frac{(6.626 \\times 10^{-34} \\, \\text{J} \\cdot \\text{s}) \\times (3.00 \\times 10^{8} \\, \\text{m\/s})}{5.84 \\times 10^{-7} \\, \\text{m}} ]<\/p>\n\n\n\n<p>Performing the calculation:<\/p>\n\n\n\n<p>[ E \\approx 3.41 \\times 10^{-19} \\, \\text{J} ]<\/p>\n\n\n\n<p><strong>Step 3: Convert the energy to kilojoules.<\/strong><\/p>\n\n\n\n<p>Since ( 1 \\, \\text{kJ} = 10^{3} \\, \\text{J} ):<\/p>\n\n\n\n<p>[ E = 3.41 \\times 10^{-19} \\, \\text{J} \\times \\frac{1 \\, \\text{kJ}}{10^{3} \\, \\text{J}} = 3.41 \\times 10^{-22} \\, \\text{kJ} ]<\/p>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>The energy of a photon with a wavelength of 584 nm is approximately ( 3.41 \\times 10^{-22} \\, \\text{kJ} ).<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The energy of a photon is inversely proportional to its wavelength; that is, shorter wavelengths correspond to higher energy photons. This relationship is described by Planck&#8217;s equation, which links the energy of a photon to its frequency (and thus its wavelength) through Planck&#8217;s constant and the speed of light. Understanding this relationship is fundamental in fields like spectroscopy and quantum mechanics, where the energy of photons determines their interaction with matter.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The wavelength of a particular color of yellow light is 584 nm. The energy of this wavelength of light is kJ\/photon. (109 nm = 1 m) The correct answer and explanation is : To calculate the energy of a photon with a wavelength of 584 nm (nanometers), we can use the formula: [ E = [&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-201761","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201761","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=201761"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201761\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=201761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=201761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=201761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}