{"id":89064,"date":"2025-06-01T07:28:42","date_gmt":"2025-06-01T07:28:42","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89064"},"modified":"2025-06-01T07:28:42","modified_gmt":"2025-06-01T07:28:42","slug":"the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/","title":{"rendered":"The masses of two planets are in the ratio of 1 : 7. The ratio between"},"content":{"rendered":"<p>The masses of two planets are in the ratio of 1 : 7. The ratio between their diameters is 2 : 1. The ratio of forces which they exert on each other is<\/p>\n<p>[amp_mcq option1=&#8221;1 : 7&#8243; option2=&#8221;7 : 1&#8243; option3=&#8221;1 : 1&#8243; option4=&#8221;2 : 1&#8243; correct=&#8221;option3&#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-2 &#8211; 2024<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2024.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2024\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">The correct answer is C) 1 : 1.<\/section>\n<section id=\"pyq-key-points\">According to Newton&#8217;s Third Law of Motion and Newton&#8217;s Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.<\/section>\n<section id=\"pyq-additional-information\">The force of gravity between two objects with masses m\u2081 and m\u2082 separated by a distance r is given by the formula F = G * (m\u2081 * m\u2082) \/ r\u00b2. The force exerted by planet 1 on planet 2 (F\u2081\u2082) is equal to G * (m\u2081 * m\u2082) \/ r\u00b2, and the force exerted by planet 2 on planet 1 (F\u2082\u2081) is also equal to G * (m\u2082 * m\u2081) \/ r\u00b2. Therefore, F\u2081\u2082 = F\u2082\u2081, and the ratio of the forces they exert on each other is always 1:1. The information about the ratio of masses and diameters is extraneous to the question about the ratio of forces *between* them.<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The masses of two planets are in the ratio of 1 : 7. The ratio between their diameters is 2 : 1. The ratio of forces which they exert on each other is [amp_mcq option1=&#8221;1 : 7&#8243; option2=&#8221;7 : 1&#8243; option3=&#8221;1 : 1&#8243; option4=&#8221;2 : 1&#8243; correct=&#8221;option3&#8243;] This question was previously asked in UPSC NDA-2 &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The masses of two planets are in the ratio of 1 : 7. The ratio between\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/#more-89064\">Detailed Solution<span class=\"screen-reader-text\">The masses of two planets are in the ratio of 1 : 7. The ratio between<\/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":[1103,1129,1128],"class_list":["post-89064","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1103","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>The masses of two planets are in the ratio of 1 : 7. The ratio between<\/title>\n<meta name=\"description\" content=\"The correct answer is C) 1 : 1. According to Newton&#039;s Third Law of Motion and Newton&#039;s Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.\" \/>\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-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The masses of two planets are in the ratio of 1 : 7. The ratio between\" \/>\n<meta property=\"og:description\" content=\"The correct answer is C) 1 : 1. According to Newton&#039;s Third Law of Motion and Newton&#039;s Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:28:42+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 masses of two planets are in the ratio of 1 : 7. The ratio between","description":"The correct answer is C) 1 : 1. According to Newton's Third Law of Motion and Newton's Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.","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-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/","og_locale":"en_US","og_type":"article","og_title":"The masses of two planets are in the ratio of 1 : 7. The ratio between","og_description":"The correct answer is C) 1 : 1. According to Newton's Third Law of Motion and Newton's Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:28:42+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-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/","name":"The masses of two planets are in the ratio of 1 : 7. The ratio between","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:28:42+00:00","dateModified":"2025-06-01T07:28:42+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is C) 1 : 1. According to Newton's Third Law of Motion and Newton's Law of Universal Gravitation, the force exerted by the first planet on the second planet is equal in magnitude to the force exerted by the second planet on the first planet. This holds true regardless of the masses or distances of the objects involved in the gravitational interaction.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-masses-of-two-planets-are-in-the-ratio-of-1-7-the-ratio-between\/#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 masses of two planets are in the ratio of 1 : 7. 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