{"id":87494,"date":"2025-06-01T06:45:25","date_gmt":"2025-06-01T06:45:25","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87494"},"modified":"2025-06-01T06:45:25","modified_gmt":"2025-06-01T06:45:25","slug":"the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/","title":{"rendered":"The time period of a simple pendulum made using a thin copper wire of"},"content":{"rendered":"<p>The time period of a simple pendulum made using a thin copper wire of length L is T. Suppose the temperature of the room in which this simple pendulum is placed increases by 30\u00b0C, what will be the effect on the time period of the pendulum ?<\/p>\n<p>[amp_mcq option1=&#8221;T will increase slightly&#8221; option2=&#8221;T will remain the same&#8221; option3=&#8221;T will decrease slightly&#8221; option4=&#8221;T will become more than 2 times&#8221; correct=&#8221;option1&#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-1 &#8211; 2017<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-1-2017.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-1-2017\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe time period of the pendulum, T, will increase slightly.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. Materials expand when heated due to thermal expansion.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nWhen the temperature of the room increases, the copper wire of the simple pendulum will undergo thermal expansion, causing its length L to increase. According to the formula T = 2\u03c0 * sqrt(L\/g), the time period T is directly proportional to the square root of the length L (T \u221d \u221aL). Since the length L increases with the increase in temperature, the time period T will also increase. The thermal expansion for a 30\u00b0C temperature change is typically small for common materials like copper, leading to a slight increase in the length and consequently a slight increase in the time period.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The time period of a simple pendulum made using a thin copper wire of length L is T. Suppose the temperature of the room in which this simple pendulum is placed increases by 30\u00b0C, what will be the effect on the time period of the pendulum ? [amp_mcq option1=&#8221;T will increase slightly&#8221; option2=&#8221;T will remain &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The time period of a simple pendulum made using a thin copper wire of\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/#more-87494\">Detailed Solution<span class=\"screen-reader-text\">The time period of a simple pendulum made using a thin copper wire of<\/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":[1101,1130,1128],"class_list":["post-87494","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1101","tag-heat-and-thermodynamics","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 time period of a simple pendulum made using a thin copper wire of<\/title>\n<meta name=\"description\" content=\"The time period of the pendulum, T, will increase slightly. The time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. Materials expand when heated due to thermal expansion.\" \/>\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-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The time period of a simple pendulum made using a thin copper wire of\" \/>\n<meta property=\"og:description\" content=\"The time period of the pendulum, T, will increase slightly. The time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. Materials expand when heated due to thermal expansion.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:45:25+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 time period of a simple pendulum made using a thin copper wire of","description":"The time period of the pendulum, T, will increase slightly. The time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. Materials expand when heated due to thermal expansion.","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-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/","og_locale":"en_US","og_type":"article","og_title":"The time period of a simple pendulum made using a thin copper wire of","og_description":"The time period of the pendulum, T, will increase slightly. The time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. Materials expand when heated due to thermal expansion.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:45:25+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-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-time-period-of-a-simple-pendulum-made-using-a-thin-copper-wire-of\/","name":"The time period of a simple pendulum made using a thin copper wire of","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:45:25+00:00","dateModified":"2025-06-01T06:45:25+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The time period of the pendulum, T, will increase slightly. The time period (T) of a simple pendulum is given by the formula T = 2\u03c0 * sqrt(L\/g), where L is the length of the pendulum and g is the acceleration due to gravity. The length of the pendulum is the length of the wire. 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