{"id":87244,"date":"2025-06-01T06:38:26","date_gmt":"2025-06-01T06:38:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87244"},"modified":"2025-06-01T06:38:26","modified_gmt":"2025-06-01T06:38:26","slug":"statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/","title":{"rendered":"Statement-I: A body weighs less on a hill top than on earth’s surface"},"content":{"rendered":"

Statement-I: A body weighs less on a hill top than on earth’s surface even though its mass remains unchanged.
\nStatement-II: The acceleration due to gravity of the earth decreases with height.<\/p>\n

[amp_mcq option1=”Both the statements are individually true and Statement II is the correct explanation of Statement I” option2=”Both the statements are individually true but Statement II is not the correct explanation of Statement I” option3=”Statement I is true but Statement II is false” option4=”Statement I is false but Statement II is true” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2015<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is A. Both statements are individually true, and Statement II is the correct explanation of Statement I.
\n<\/section>\n
\nStatement I is true because weight (W) is defined as mass (m) multiplied by the acceleration due to gravity (g), W = mg. A body’s mass remains constant regardless of location.
\nStatement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth’s surface. The gravitational force, and hence ‘g’, depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g’ = g(R\/(R+h))\u00b2, where R is Earth’s radius and h is height. As h increases, g’ decreases.
\n<\/section>\n
\nSince weight is directly proportional to ‘g’ (with constant mass), a decrease in ‘g’ at a hill top compared to the Earth’s surface directly causes the body to weigh less. Therefore, Statement II provides the correct reason for Statement I.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Statement-I: A body weighs less on a hill top than on earth’s surface even though its mass remains unchanged. Statement-II: The acceleration due to gravity of the earth decreases with height. [amp_mcq option1=”Both the statements are individually true and Statement II is the correct explanation of Statement I” option2=”Both the statements are individually true but … <\/p>\n

Detailed SolutionStatement-I: A body weighs less on a hill top than on earth’s surface<\/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":[1443,1421,1128],"class_list":["post-87244","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1443","tag-motion-under-gravity","tag-physics","no-featured-image-padding"],"yoast_head":"\nStatement-I: A body weighs less on a hill top than on earth's surface<\/title>\n<meta name=\"description\" content=\"The correct option is A. Both statements are individually true, and Statement II is the correct explanation of Statement I. Statement I is true because weight (W) is defined as mass (m) multiplied by the acceleration due to gravity (g), W = mg. A body's mass remains constant regardless of location. Statement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth's surface. The gravitational force, and hence 'g', depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g' = g(R\/(R+h))\u00b2, where R is Earth's radius and h is height. As h increases, g' decreases.\" \/>\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\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statement-I: A body weighs less on a hill top than on earth's surface\" \/>\n<meta property=\"og:description\" content=\"The correct option is A. Both statements are individually true, and Statement II is the correct explanation of Statement I. Statement I is true because weight (W) is defined as mass (m) multiplied by the acceleration due to gravity (g), W = mg. A body's mass remains constant regardless of location. Statement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth's surface. The gravitational force, and hence 'g', depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g' = g(R\/(R+h))\u00b2, where R is Earth's radius and h is height. As h increases, g' decreases.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:38:26+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":"Statement-I: A body weighs less on a hill top than on earth's surface","description":"The correct option is A. Both statements are individually true, and Statement II is the correct explanation of Statement I. Statement I is true because weight (W) is defined as mass (m) multiplied by the acceleration due to gravity (g), W = mg. A body's mass remains constant regardless of location. Statement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth's surface. The gravitational force, and hence 'g', depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g' = g(R\/(R+h))\u00b2, where R is Earth's radius and h is height. As h increases, g' decreases.","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\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/","og_locale":"en_US","og_type":"article","og_title":"Statement-I: A body weighs less on a hill top than on earth's surface","og_description":"The correct option is A. Both statements are individually true, and Statement II is the correct explanation of Statement I. Statement I is true because weight (W) is defined as mass (m) multiplied by the acceleration due to gravity (g), W = mg. A body's mass remains constant regardless of location. Statement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth's surface. The gravitational force, and hence 'g', depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g' = g(R\/(R+h))\u00b2, where R is Earth's radius and h is height. As h increases, g' decreases.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:38:26+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\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/","url":"https:\/\/exam.pscnotes.com\/mcq\/statement-i-a-body-weighs-less-on-a-hill-top-than-on-earths-surface\/","name":"Statement-I: A body weighs less on a hill top than on earth's surface","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:38:26+00:00","dateModified":"2025-06-01T06:38:26+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is A. 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