{"id":226780,"date":"2025-06-05T14:56:52","date_gmt":"2025-06-05T14:56:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226780"},"modified":"2025-06-05T14:56:54","modified_gmt":"2025-06-05T14:56:54","slug":"use-the-energy-output-versus-wavelength-graphs-for-objects-a-d-shown-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/use-the-energy-output-versus-wavelength-graphs-for-objects-a-d-shown-below\/","title":{"rendered":"Use the energy output versus wavelength graphs for objects A-D, shown below"},"content":{"rendered":"\n

Use the energy output versus wavelength graphs for objects A-D, shown below: Object A Object B Object D Object C Which object is the largest? Object D Object B Object C Object A<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To determine which object is the largest<\/strong> using energy output versus wavelength graphs (also known as blackbody radiation curves), we need to apply principles from Planck\u2019s Law<\/strong>, Wien\u2019s Displacement Law<\/strong>, and the Stefan-Boltzmann Law<\/strong>. Since the graph is not provided, we will assume a typical setup where each object’s blackbody curve shows a peak at a specific wavelength and varies in height.<\/p>\n\n\n\n

Correct Answer: Object C<\/strong><\/h3>\n\n\n\n
\n\n\n\n

Explanation <\/strong><\/h3>\n\n\n\n

When analyzing blackbody radiation graphs, each object emits a spectrum of radiation based on its temperature<\/strong>. Two important physical laws help us relate the graph to the size of an object:<\/p>\n\n\n\n

    \n
  1. Wien\u2019s Displacement Law<\/strong> states: \u03bbmax=bT\\lambda_{\\text{max}} = \\frac{b}{T} where:
    • \u03bbmax\\lambda_{\\text{max}} is the wavelength at which emission is highest,<\/li>
    • TT is the temperature,<\/li>
    • bb is a constant.<\/li><\/ul>This tells us: the shorter<\/strong> the peak wavelength, the hotter<\/strong> the object.<\/li>\n\n\n\n
    • Stefan-Boltzmann Law<\/strong> tells us that the total energy emitted per unit surface area of a blackbody is: E=\u03c3T4E = \\sigma T^4 But the total luminosity<\/strong> also depends on surface area: L=4\u03c0R2\u03c3T4L = 4\\pi R^2 \\sigma T^4 So, a cooler<\/strong> object (longer peak wavelength) can still have a higher total energy output if it has a larger radius<\/strong>.<\/li>\n<\/ol>\n\n\n\n
      \n\n\n\n

      Therefore, to find the largest<\/strong> object:<\/p>\n\n\n\n

        \n
      • Look for the graph with a peak at a longer wavelength<\/strong> (lower temperature), but with a high total energy output<\/strong> (indicated by the area under the curve).<\/li>\n\n\n\n
      • This combination indicates a large radius<\/strong> compensating for the lower temperature.<\/li>\n<\/ul>\n\n\n\n

        If Object C<\/strong> peaks at the longest wavelength but still emits a high amount of energy (large area under its curve), this suggests it is the coolest but most luminous<\/strong>, and hence the largest in size<\/strong>.<\/p>\n\n\n\n

        Thus, Object C is the largest.<\/strong><\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Use the energy output versus wavelength graphs for objects A-D, shown below: Object A Object B Object D Object C Which object is the largest? Object D Object B Object C Object A The Correct Answer and Explanation is: To determine which object is the largest using energy output versus wavelength graphs (also known as […]<\/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-226780","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226780","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=226780"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226780\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}