{"id":88350,"date":"2025-06-01T07:08:32","date_gmt":"2025-06-01T07:08:32","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88350"},"modified":"2025-06-01T07:08:32","modified_gmt":"2025-06-01T07:08:32","slug":"in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/","title":{"rendered":"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang"},"content":{"rendered":"<p>In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mango are dropped simultaneously from the same height. The time taken by them to reach the bottom is t<sub>1<\/sub>, t<sub>2<\/sub> and t<sub>3<\/sub> respectively. In this situation, we will observe that<\/p>\n<p>[amp_mcq option1=&#8221;t<sub>1<\/sub> > t<sub>2<\/sub> > t<sub>3<\/sub>&#8221; option2=&#8221;t<sub>1<\/sub> > t<sub>3<\/sub> > t<sub>2<\/sub>&#8221; option3=&#8221;t<sub>3<\/sub> > t<sub>1<\/sub> > t<sub>2<\/sub>&#8221; option4=&#8221;t<sub>1<\/sub> = t<sub>2<\/sub> = t<sub>3<\/sub>&#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 NDA-2 &#8211; 2017<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2017.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2017\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nIn a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; In a vacuum, acceleration due to gravity is constant for all objects ($g$).<br \/>\n&#8211; Absence of air resistance.<br \/>\n&#8211; Time taken to fall from the same height is independent of mass.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThis principle was first hypothesized by Galileo Galilei and later demonstrated convincingly in experiments, including the famous experiment conducted by astronaut David Scott on the Moon during the Apollo 15 mission, where a hammer and a feather were dropped simultaneously and hit the lunar surface at the same time. On Earth, air resistance significantly affects the fall time of objects, especially those with large surface area relative to mass like a feather.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mango are dropped simultaneously from the same height. The time taken by them to reach the bottom is t1, t2 and t3 respectively. In this situation, we will observe that [amp_mcq option1=&#8221;t1 > t2 > t3&#8221; option2=&#8221;t1 > t3 > t2&#8221; &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/#more-88350\">Detailed Solution<span class=\"screen-reader-text\">In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang<\/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":[1101,1421,1128],"class_list":["post-88350","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1101","tag-motion-under-gravity","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>In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang<\/title>\n<meta name=\"description\" content=\"In a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$. - In a vacuum, acceleration due to gravity is constant for all objects ($g$). - Absence of air resistance. - Time taken to fall from the same height is independent of mass.\" \/>\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\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang\" \/>\n<meta property=\"og:description\" content=\"In a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$. - In a vacuum, acceleration due to gravity is constant for all objects ($g$). - Absence of air resistance. - Time taken to fall from the same height is independent of mass.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:08:32+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":"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang","description":"In a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$. - In a vacuum, acceleration due to gravity is constant for all objects ($g$). - Absence of air resistance. - Time taken to fall from the same height is independent of mass.","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\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/","og_locale":"en_US","og_type":"article","og_title":"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang","og_description":"In a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$. - In a vacuum, acceleration due to gravity is constant for all objects ($g$). - Absence of air resistance. - Time taken to fall from the same height is independent of mass.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:08:32+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\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/","name":"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:08:32+00:00","dateModified":"2025-06-01T07:08:32+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"In a vacuum, there is no air resistance. According to the principles of physics, in the absence of air resistance, all objects dropped from the same height will fall with the same acceleration due to gravity, regardless of their mass, size, or shape. This means they will take the same amount of time to reach the ground. Therefore, the five-rupee coin, the feather, and the mango will all reach the bottom simultaneously, meaning $t_1 = t_2 = t_3$. - In a vacuum, acceleration due to gravity is constant for all objects ($g$). - Absence of air resistance. - Time taken to fall from the same height is independent of mass.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-vacuum-a-five-rupee-coin-a-feather-of-a-sparrow-bird-and-a-mang\/#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":"In a vacuum, a five-rupee coin, a feather of a sparrow bird and a mang"}]},{"@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\/88350","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=88350"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/88350\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=88350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=88350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=88350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}