{"id":86729,"date":"2025-06-01T04:19:35","date_gmt":"2025-06-01T04:19:35","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86729"},"modified":"2025-06-01T04:19:35","modified_gmt":"2025-06-01T04:19:35","slug":"which-one-of-the-following-statements-is-true-regarding-the-time-perio","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/","title":{"rendered":"Which one of the following statements is true regarding the time perio"},"content":{"rendered":"

Which one of the following statements is true regarding the time period (T) of oscillation of a simple pendulum?<\/p>\n

[amp_mcq option1=”T increases with increase in length of the pendulum” option2=”T depends on the mass of the pendulum bob” option3=”T decreases with increase in length of the pendulum” option4=”T is independent of the length of the pendulum” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC Geoscientist – 2020<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases.
\n<\/section>\n
\nThe time period of a simple pendulum is proportional to the square root of its length.
\n<\/section>\n
\nThe formula T = 2\u03c0 * sqrt(L \/ g) also shows that the time period depends on the acceleration due to gravity (g) but is independent of the mass of the pendulum bob and the amplitude of oscillation (provided the amplitude is small). Option A correctly describes the relationship between T and L.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Which one of the following statements is true regarding the time period (T) of oscillation of a simple pendulum? [amp_mcq option1=”T increases with increase in length of the pendulum” option2=”T depends on the mass of the pendulum bob” option3=”T decreases with increase in length of the pendulum” option4=”T is independent of the length of the … <\/p>\n

Detailed SolutionWhich one of the following statements is true regarding the time perio<\/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":[1091],"tags":[1288,1129,1128],"class_list":["post-86729","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1288","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nWhich one of the following statements is true regarding the time perio<\/title>\n<meta name=\"description\" content=\"The time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases. The time period of a simple pendulum is proportional to the square root of its length.\" \/>\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\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which one of the following statements is true regarding the time perio\" \/>\n<meta property=\"og:description\" content=\"The time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases. The time period of a simple pendulum is proportional to the square root of its length.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T04:19:35+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":"Which one of the following statements is true regarding the time perio","description":"The time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases. The time period of a simple pendulum is proportional to the square root of its length.","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\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/","og_locale":"en_US","og_type":"article","og_title":"Which one of the following statements is true regarding the time perio","og_description":"The time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases. The time period of a simple pendulum is proportional to the square root of its length.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T04:19:35+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\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/","name":"Which one of the following statements is true regarding the time perio","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T04:19:35+00:00","dateModified":"2025-06-01T04:19:35+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The time period (T) of oscillation of a simple pendulum for small oscillations 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. From this formula, it is clear that the time period T is directly proportional to the square root of the length L (T \u221d sqrt(L)). Therefore, if the length of the pendulum increases, the time period also increases. The time period of a simple pendulum is proportional to the square root of its length.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-true-regarding-the-time-perio\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC Geoscientist","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-geoscientist\/"},{"@type":"ListItem","position":3,"name":"Which one of the following statements is true regarding the time perio"}]},{"@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\/86729","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=86729"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86729\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}