{"id":86125,"date":"2025-06-01T03:38:11","date_gmt":"2025-06-01T03:38:11","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86125"},"modified":"2025-06-01T03:38:11","modified_gmt":"2025-06-01T03:38:11","slug":"if-the-distance-between-two-objects-is-increased-by-two-times-the-gra","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/","title":{"rendered":"If the distance between two objects is increased by two times, the gra"},"content":{"rendered":"<p>If the distance between two objects is increased by two times, the gravitational force between them will<\/p>\n<p>[amp_mcq option1=&#8221;remain same&#8221; option2=&#8221;increase by two times&#8221; option3=&#8221;decrease by two times&#8221; option4=&#8221;decrease by four times&#8221; correct=&#8221;option4&#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 CDS-2 &#8211; 2020<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cds-2-2020.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cds-2-2020\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe gravitational force between the two objects will decrease by four times.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nAccording to Newton&#8217;s Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r&#8217; = 2r), the new force (F&#8217;) will be F&#8217; = G(m\u2081m\u2082)\/(r&#8217;)\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe inverse square law is a common relationship in physics, appearing in gravitation, electrostatics, and light intensity. It implies that the effect of a source diminishes rapidly with increasing distance.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>If the distance between two objects is increased by two times, the gravitational force between them will [amp_mcq option1=&#8221;remain same&#8221; option2=&#8221;increase by two times&#8221; option3=&#8221;decrease by two times&#8221; option4=&#8221;decrease by four times&#8221; correct=&#8221;option4&#8243;] This question was previously asked in UPSC CDS-2 &#8211; 2020 Download PDFAttempt Online The gravitational force between the two objects will decrease &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"If the distance between two objects is increased by two times, the gra\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/#more-86125\">Detailed Solution<span class=\"screen-reader-text\">If the distance between two objects is increased by two times, the gra<\/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":[1088],"tags":[1288,1129,1128],"class_list":["post-86125","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1288","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>If the distance between two objects is increased by two times, the gra<\/title>\n<meta name=\"description\" content=\"The gravitational force between the two objects will decrease by four times. According to Newton&#039;s Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r&#039; = 2r), the new force (F&#039;) will be F&#039; = G(m\u2081m\u2082)\/(r&#039;)\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.\" \/>\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-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the distance between two objects is increased by two times, the gra\" \/>\n<meta property=\"og:description\" content=\"The gravitational force between the two objects will decrease by four times. According to Newton&#039;s Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r&#039; = 2r), the new force (F&#039;) will be F&#039; = G(m\u2081m\u2082)\/(r&#039;)\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:38:11+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 the distance between two objects is increased by two times, the gra","description":"The gravitational force between the two objects will decrease by four times. According to Newton's Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r' = 2r), the new force (F') will be F' = G(m\u2081m\u2082)\/(r')\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.","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-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/","og_locale":"en_US","og_type":"article","og_title":"If the distance between two objects is increased by two times, the gra","og_description":"The gravitational force between the two objects will decrease by four times. According to Newton's Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r' = 2r), the new force (F') will be F' = G(m\u2081m\u2082)\/(r')\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:38:11+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-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/","name":"If the distance between two objects is increased by two times, the gra","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:38:11+00:00","dateModified":"2025-06-01T03:38:11+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The gravitational force between the two objects will decrease by four times. According to Newton's Law of Universal Gravitation, the force (F) between two objects with masses m\u2081 and m\u2082 separated by a distance (r) is given by F = G(m\u2081m\u2082)\/r\u00b2, where G is the gravitational constant. The force is inversely proportional to the square of the distance between the objects. If the distance is increased by two times (r' = 2r), the new force (F') will be F' = G(m\u2081m\u2082)\/(r')\u00b2 = G(m\u2081m\u2082)\/(2r)\u00b2 = G(m\u2081m\u2082)\/(4r\u00b2) = (1\/4) * G(m\u2081m\u2082)\/r\u00b2 = (1\/4) * F. Thus, the force decreases to one-fourth of its original value.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-the-distance-between-two-objects-is-increased-by-two-times-the-gra\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"If the distance between two objects is increased by two times, the gra"}]},{"@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\/86125","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=86125"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86125\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}