{"id":88130,"date":"2025-06-01T07:03:03","date_gmt":"2025-06-01T07:03:03","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88130"},"modified":"2025-06-01T07:03:03","modified_gmt":"2025-06-01T07:03:03","slug":"a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/","title":{"rendered":"A brass ball is tied to a thin wire and swung so as to move uniformly"},"content":{"rendered":"<p>A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this regard is \/ are true?<\/p>\n<ul>\n<li>1. The ball moves with constant velocity<\/li>\n<li>2. The ball moves with constant speed<\/li>\n<li>3. The ball moves with constant acceleration<\/li>\n<li>4. The magnitude of the acceleration of the ball is constant<\/li>\n<\/ul>\n<p>Select the correct answer using the code given below:<\/p>\n<p>[amp_mcq option1=&#8221;1 only&#8221; option2=&#8221;1 and 3&#8243; option3=&#8221;1, 2 and 4&#8243; option4=&#8221;2 and 4 only&#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; 2015<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2015.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2015\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nIn uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nStatement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because &#8220;uniformly&#8221; implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v\u00b2\/r) is constant when speed (v) and radius (r) are constant.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nFor uniform circular motion, the speed is constant, but there is always an acceleration directed towards the center of the circle, known as centripetal acceleration. This acceleration changes the direction of the velocity vector, thus keeping the object moving in a circle.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this regard is \/ are true? 1. The ball moves with constant velocity 2. The ball moves with constant speed 3. The ball moves with constant acceleration 4. The &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"A brass ball is tied to a thin wire and swung so as to move uniformly\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/#more-88130\">Detailed Solution<span class=\"screen-reader-text\">A brass ball is tied to a thin wire and swung so as to move uniformly<\/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":[1443,1129,1128],"class_list":["post-88130","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1443","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>A brass ball is tied to a thin wire and swung so as to move uniformly<\/title>\n<meta name=\"description\" content=\"In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant. Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because &quot;uniformly&quot; implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v\u00b2\/r) is constant when speed (v) and radius (r) are constant.\" \/>\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\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A brass ball is tied to a thin wire and swung so as to move uniformly\" \/>\n<meta property=\"og:description\" content=\"In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant. Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because &quot;uniformly&quot; implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v\u00b2\/r) is constant when speed (v) and radius (r) are constant.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:03:03+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":"A brass ball is tied to a thin wire and swung so as to move uniformly","description":"In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant. Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because \"uniformly\" implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v\u00b2\/r) is constant when speed (v) and radius (r) are constant.","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\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/","og_locale":"en_US","og_type":"article","og_title":"A brass ball is tied to a thin wire and swung so as to move uniformly","og_description":"In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant. Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because \"uniformly\" implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v\u00b2\/r) is constant when speed (v) and radius (r) are constant.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:03:03+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\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-brass-ball-is-tied-to-a-thin-wire-and-swung-so-as-to-move-uniformly\/","name":"A brass ball is tied to a thin wire and swung so as to move uniformly","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:03:03+00:00","dateModified":"2025-06-01T07:03:03+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant. Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because \"uniformly\" implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. 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