{"id":88490,"date":"2025-06-01T07:12:13","date_gmt":"2025-06-01T07:12:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88490"},"modified":"2025-06-01T07:12:13","modified_gmt":"2025-06-01T07:12:13","slug":"the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/","title":{"rendered":"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic"},"content":{"rendered":"

The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Which one of the following gives the value of coefficient of volume expansion of this material?<\/p>\n

[amp_mcq option1=”0\u20228\u00d710\u207b\u2075 K\u207b\u00b9” option2=”2\u20224\u00d710\u207b\u2075 K\u207b\u00b9” option3=”3\u20222\u00d710\u207b\u2075 K\u207b\u00b9” option4=”4\u20228\u00d710\u207b\u2075 K\u207b\u00b9” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9.
\n<\/section>\n
\n– For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related.
\n– The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1.
\n– From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2.
\n– Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9.
\n– Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9).
\n– \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.
\n<\/section>\n
\n– These relationships (\u03b2=2\u03b1, \u03b3=3\u03b1) are valid for small changes in temperature and for isotropic materials (materials with the same properties in all directions).
\n– Linear expansion refers to the change in length, areal expansion to the change in area, and volume expansion to the change in volume per unit change in temperature.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Which one of the following gives the value of coefficient of volume expansion of this material? [amp_mcq option1=”0\u20228\u00d710\u207b\u2075 K\u207b\u00b9” option2=”2\u20224\u00d710\u207b\u2075 K\u207b\u00b9” option3=”3\u20222\u00d710\u207b\u2075 K\u207b\u00b9” option4=”4\u20228\u00d710\u207b\u2075 K\u207b\u00b9” correct=”option2″] This question was previously asked in UPSC NDA-2 – 2018 Download PDFAttempt Online The value of the coefficient … <\/p>\n

Detailed SolutionThe coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1094],"tags":[1114,1130,1128],"class_list":["post-88490","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1114","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic<\/title>\n<meta name=\"description\" content=\"The value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9. - For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related. - The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1. - From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2. - Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9. - Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9). - \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.\" \/>\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\/the-coefficient-of-areal-expansion-of-a-material-is-16x10\u207b\u2075-k\u207b\u00b9-whic\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic\" \/>\n<meta property=\"og:description\" content=\"The value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9. - For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related. - The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1. - From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2. - Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9. - Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9). - \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10\u207b\u2075-k\u207b\u00b9-whic\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:12:13+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":"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic","description":"The value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9. - For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related. - The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1. - From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2. - Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9. - Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9). - \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.","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\/the-coefficient-of-areal-expansion-of-a-material-is-16x10\u207b\u2075-k\u207b\u00b9-whic\/","og_locale":"en_US","og_type":"article","og_title":"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic","og_description":"The value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9. - For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related. - The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1. - From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2. - Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9. - Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9). - \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10\u207b\u2075-k\u207b\u00b9-whic\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:12:13+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\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/","name":"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. Whic","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:12:13+00:00","dateModified":"2025-06-01T07:12:13+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The value of the coefficient of volume expansion of this material is 2.4\u00d710\u207b\u2075 K\u207b\u00b9. - For an isotropic solid material, the coefficients of linear expansion (\u03b1), areal expansion (\u03b2), and volume expansion (\u03b3) are related. - The relationship is approximately \u03b2 \u2248 2\u03b1 and \u03b3 \u2248 3\u03b1. - From these relations, we can derive the relationship between the coefficient of areal expansion (\u03b2) and the coefficient of volume expansion (\u03b3): \u03b3 = (3\/2)\u03b2. - Given coefficient of areal expansion \u03b2 = 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9. - Substitute the value into the formula: \u03b3 = (3\/2) * (1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9). - \u03b3 = 1.5 * 1.6 \u00d7 10\u207b\u2075 K\u207b\u00b9 = 2.4 \u00d7 10\u207b\u2075 K\u207b\u00b9.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-coefficient-of-areal-expansion-of-a-material-is-16x10%e2%81%bb%e2%81%b5-k%e2%81%bb%c2%b9-whic\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-2\/"},{"@type":"ListItem","position":3,"name":"The coefficient of areal expansion of a material is 1\u20226\u00d710\u207b\u2075 K\u207b\u00b9. 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