{"id":5685,"date":"2024-04-15T02:17:16","date_gmt":"2024-04-15T02:17:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5685"},"modified":"2024-04-15T02:17:16","modified_gmt":"2024-04-15T02:17:16","slug":"if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/","title":{"rendered":"If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$${\\text{E}} = 3{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right)$$&#8221; option2=&#8221;$${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$&#8221; option3=&#8221;$$\\frac{3}{2}{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is D. All the above.<\/p>\n<p>The modulus of elasticity (E) is a measure of how difficult it is to stretch or compress a material. The modulus of rigidity (N) is a measure of how difficult it is to shear a material. The bulk modulus (K) is a measure of how difficult it is to compress a material in all directions. The Poisson ratio (\u00ce\u00bc) is a measure of how much a material stretches in the transverse direction when it is stretched in the longitudinal direction.<\/p>\n<p>The following relationships hold good for a linear elastic material:<\/p>\n<ul>\n<li>E = 3K(1 &#8211; 2\u00ce\u00bc)<\/li>\n<li>E = 2N(1 + \u00ce\u00bc)<\/li>\n<li>3K(1 &#8211; 2\u00ce\u00bc) = N(1 + \u00ce\u00bc)<\/li>\n<\/ul>\n<p>Therefore, all of the options are correct.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$${\\text{E}} = 3{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right)$$&#8221; option2=&#8221;$${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$&#8221; option3=&#8221;$$\\frac{3}{2}{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[639],"tags":[],"class_list":["post-5685","post","type-post","status-publish","format-standard","hentry","category-theory-of-structures","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$${text{E}} = 3{text{K}}left( {1 &#8211; frac{2}{{text{m}}}} right)$$&#8221; option2=&#8221;$${text{E}} = 2{text{N}}left( {1 + frac{1}{{text{m}}}} right)$$&#8221; option3=&#8221;$$frac{3}{2}{text{K}}left( {1 &#8211; frac{2}{{text{m}}}} right) = {text{N}}left( {1 + frac{1}{{text{m}}}} right)$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:16+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/","og_locale":"en_US","og_type":"article","og_title":"If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above","og_description":"[amp_mcq option1=&#8221;$${text{E}} = 3{text{K}}left( {1 &#8211; frac{2}{{text{m}}}} right)$$&#8221; option2=&#8221;$${text{E}} = 2{text{N}}left( {1 + frac{1}{{text{m}}}} right)$$&#8221; option3=&#8221;$$frac{3}{2}{text{K}}left( {1 &#8211; frac{2}{{text{m}}}} right) = {text{N}}left( {1 + frac{1}{{text{m}}}} right)$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:16+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-e-n-k-and-frac1textm-are-modulus-of-elasticity-modulus-of-rigidity-bulk-modulus-and-poisson-ratio-of-the-material-the-following-relationship-holds-good-a-texte-3t\/","name":"If E, N, K and $$\\frac{1}{{\\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 - \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. 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Bulk modulus and Poisson ratio of the material, the following relationship holds good A. $${\\text{E}} = 3{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right)$$ B. $${\\text{E}} = 2{\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ C. $$\\frac{3}{2}{\\text{K}}\\left( {1 &#8211; \\frac{2}{{\\text{m}}}} \\right) = {\\text{N}}\\left( {1 + \\frac{1}{{\\text{m}}}} \\right)$$ D. All the above"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5685","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=5685"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5685\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}