{"id":87847,"date":"2025-06-01T06:55:22","date_gmt":"2025-06-01T06:55:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87847"},"modified":"2025-06-01T06:55:22","modified_gmt":"2025-06-01T06:55:22","slug":"what-is-the-dimension-of-gravitational-constant","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/","title":{"rendered":"What is the dimension of gravitational constant?"},"content":{"rendered":"<p>What is the dimension of gravitational constant?<\/p>\n<p>[amp_mcq option1=&#8221;ML\u00b3T\u207b\u00b2&#8221; option2=&#8221;M\u207b\u00b9L\u00b3T\u207b\u00b2&#8221; option3=&#8221;M\u00b2L\u207b\u00b2T\u207b\u00b2&#8221; option4=&#8221;M\u00b2L\u207b\u00b9T\u207b\u00b2&#8221; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC NDA-1 &#8211; 2022<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-1-2022.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-1-2022\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe gravitational constant $G$ appears in Newton&#8217;s Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G \\frac{m_1 m_2}{r^2}$.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nWe can determine the dimensions of $G$ by rearranging the formula: $G = \\frac{F r^2}{m_1 m_2}$. The dimensions of Force ($F$) are [MLT\u207b\u00b2], distance ($r$) are [L], and mass ($m$) are [M]. Substituting these dimensions: $[G] = \\frac{[MLT\u207b\u00b2] [L]^2}{[M][M]} = \\frac{[ML\u00b3T\u207b\u00b2]}{[M\u00b2]} = [M^{1-2} L\u00b3 T\u207b\u00b2] = [M\u207b\u00b9L\u00b3T\u207b\u00b2]$.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>What is the dimension of gravitational constant? [amp_mcq option1=&#8221;ML\u00b3T\u207b\u00b2&#8221; option2=&#8221;M\u207b\u00b9L\u00b3T\u207b\u00b2&#8221; option3=&#8221;M\u00b2L\u207b\u00b2T\u207b\u00b2&#8221; option4=&#8221;M\u00b2L\u207b\u00b9T\u207b\u00b2&#8221; correct=&#8221;option2&#8243;] This question was previously asked in UPSC NDA-1 &#8211; 2022 Download PDFAttempt Online The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton&#8217;s Law of Universal Gravitation, which states that the force ($F$) between two masses &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What is the dimension of gravitational constant?\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/#more-87847\">Detailed Solution<span class=\"screen-reader-text\">What is the dimension of gravitational constant?<\/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":[1093],"tags":[1108,1129,1128],"class_list":["post-87847","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1108","tag-mechanics","tag-physics","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>What is the dimension of gravitational constant?<\/title>\n<meta name=\"description\" content=\"The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton&#039;s Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G frac{m_1 m_2}{r^2}$.\" \/>\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\/what-is-the-dimension-of-gravitational-constant\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the dimension of gravitational constant?\" \/>\n<meta property=\"og:description\" content=\"The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton&#039;s Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G frac{m_1 m_2}{r^2}$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:55:22+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":"What is the dimension of gravitational constant?","description":"The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton's Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G frac{m_1 m_2}{r^2}$.","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\/what-is-the-dimension-of-gravitational-constant\/","og_locale":"en_US","og_type":"article","og_title":"What is the dimension of gravitational constant?","og_description":"The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton's Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G frac{m_1 m_2}{r^2}$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:55:22+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\/what-is-the-dimension-of-gravitational-constant\/","url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/","name":"What is the dimension of gravitational constant?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:55:22+00:00","dateModified":"2025-06-01T06:55:22+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The dimension of the gravitational constant ($G$) is M\u207b\u00b9L\u00b3T\u207b\u00b2. The gravitational constant $G$ appears in Newton's Law of Universal Gravitation, which states that the force ($F$) between two masses ($m_1$, $m_2$) separated by a distance ($r$) is given by $F = G \\frac{m_1 m_2}{r^2}$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-dimension-of-gravitational-constant\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"What is the dimension of gravitational constant?"}]},{"@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\/87847","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=87847"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87847\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}