{"id":193431,"date":"2025-02-19T11:48:38","date_gmt":"2025-02-19T11:48:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=193431"},"modified":"2025-02-19T11:48:40","modified_gmt":"2025-02-19T11:48:40","slug":"how-much-energy-in-megaelectronvolts-is-produced-when-0-250-universal-mass-unit-of-matter-is-completely-converted-into-energy","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/19\/how-much-energy-in-megaelectronvolts-is-produced-when-0-250-universal-mass-unit-of-matter-is-completely-converted-into-energy\/","title":{"rendered":"How much energy, in megaelectronvolts, is produced when 0.250 universal mass unit of matter is completely converted into energy"},"content":{"rendered":"\n<p>How much energy, in megaelectronvolts, is produced when 0.250 universal mass unit of matter is completely converted into energy?<\/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 find out how much energy is produced when 0.250 universal mass unit (u) of matter is completely converted into energy, we can use Einstein&#8217;s famous equation:<\/p>\n\n\n\n<p>[<br>E = mc^2<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(E) is the energy produced,<\/li>\n\n\n\n<li>(m) is the mass being converted,<\/li>\n\n\n\n<li>(c) is the speed of light ((3.00 \\times 10^8 \\, \\text{m\/s})).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the mass to kilograms<\/h3>\n\n\n\n<p>1 universal mass unit (u) is approximately equal to (1.660539 \\times 10^{-27}) kilograms.<\/p>\n\n\n\n<p>So, the mass of 0.250 u is:<\/p>\n\n\n\n<p>[<br>m = 0.250 \\, \\text{u} \\times 1.660539 \\times 10^{-27} \\, \\text{kg\/u}<br>]<br>[<br>m = 4.15135 \\times 10^{-28} \\, \\text{kg}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Apply Einstein&#8217;s equation<\/h3>\n\n\n\n<p>Now, using the equation (E = mc^2):<\/p>\n\n\n\n<p>[<br>E = 4.15135 \\times 10^{-28} \\, \\text{kg} \\times (3.00 \\times 10^8 \\, \\text{m\/s})^2<br>]<br>[<br>E = 4.15135 \\times 10^{-28} \\, \\text{kg} \\times 9.00 \\times 10^{16} \\, \\text{m}^2\/\\text{s}^2<br>]<br>[<br>E = 3.735 \\times 10^{-11} \\, \\text{Joules}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert Joules to Mega electronvolts (MeV)<\/h3>\n\n\n\n<p>1 Joule is equal to (6.242 \\times 10^{12}) MeV.<\/p>\n\n\n\n<p>So,<\/p>\n\n\n\n<p>[<br>E = 3.735 \\times 10^{-11} \\, \\text{J} \\times 6.242 \\times 10^{12} \\, \\text{MeV\/J}<br>]<br>[<br>E = 233.5 \\, \\text{MeV}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The energy produced when 0.250 universal mass units of matter is completely converted into energy is approximately <strong>233.5 MeV<\/strong>.<\/p>\n\n\n\n<p>This calculation demonstrates the enormous amount of energy released in mass-energy conversion, illustrating the power of Einstein&#8217;s theory in explaining nuclear reactions and particle physics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How much energy, in megaelectronvolts, is produced when 0.250 universal mass unit of matter is completely converted into energy? The Correct Answer and Explanation is : To find out how much energy is produced when 0.250 universal mass unit (u) of matter is completely converted into energy, we can use Einstein&#8217;s famous equation: [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-193431","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193431","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=193431"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193431\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=193431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=193431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=193431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}