Which of the following are SI units of Young’s modulus?<\/p>\n\n\n\n
N\/m \u00b7 s2<\/p>\n\n\n\n
kg\/m2<\/p>\n\n\n\n
kg \u00b7 m\/s2<\/p>\n\n\n\n
kg\/m \u00b7 s2<\/p>\n\n\n\n
kg \u00b7 m2\/s2<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct SI unit of Young’s modulus is N\/m\u00b2<\/strong>, which is equivalent to kg\/(m\u00b7s\u00b2)<\/strong>.<\/p>\n\n\n\n Young’s modulus (E) is a measure of the stiffness of a material and is defined as the ratio of stress to strain: Since strain has no units, the unit of Young\u2019s modulus is the same as that of stress: Force (Newton) is given by Newton’s second law: Since acceleration has units of ( \\text{m\/s}^2 ), the unit of force (Newton) is: Using the unit of force, Young\u2019s modulus has the unit: Thus, the correct unit from the given options is kg\/(m\u00b7s\u00b2)<\/strong>.<\/p>\n\n\n\n Which of the following are SI units of Young’s modulus? N\/m \u00b7 s2 kg\/m2 kg \u00b7 m\/s2 kg\/m \u00b7 s2 kg \u00b7 m2\/s2 The correct answer and explanation is : The correct SI unit of Young’s modulus is N\/m\u00b2, which is equivalent to kg\/(m\u00b7s\u00b2). Explanation: 1. Definition of Young\u2019s Modulus: Young’s modulus (E) is a […]<\/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-203360","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203360","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=203360"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203360\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
1. Definition of Young\u2019s Modulus:<\/strong><\/h4>\n\n\n\n
[
E = \\frac{\\text{Stress}}{\\text{Strain}}
]<\/p>\n\n\n\n\n
[
\\text{Stress} = \\frac{\\text{Force}}{\\text{Area}} = \\frac{N}{m^2}
]<\/li>\n\n\n\n
[
E = \\frac{\\text{N}}{m^2}
]<\/p>\n\n\n\n2. SI Unit of Force:<\/strong><\/h4>\n\n\n\n
[
F = m \\cdot a
]
where:<\/p>\n\n\n\n\n
[
1 \\text{ N} = 1 \\text{ kg} \\cdot \\text{m\/s}^2
]<\/p>\n\n\n\n3. SI Unit of Young\u2019s Modulus:<\/strong><\/h4>\n\n\n\n
[
E = \\frac{N}{m^2} = \\frac{\\text{kg} \\cdot \\text{m\/s}^2}{m^2} = \\frac{\\text{kg}}{\\text{m} \\cdot \\text{s}^2}
]<\/p>\n\n\n\n4. Analysis of Given Options:<\/strong><\/h4>\n\n\n\n
\n