{"id":6779,"date":"2024-04-15T02:34:03","date_gmt":"2024-04-15T02:34:03","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6779"},"modified":"2024-04-15T02:34:03","modified_gmt":"2024-04-15T02:34:03","slug":"a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/","title":{"rendered":"A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9e8cc4de7d3\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    If the length of pendulum is doubled, the energy will be A. E                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{{\text{E}}}{2}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    2E                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    4E                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B. }\\frac{{\\text{E}}}{2}}$.<\/p>\n<p>The energy of a simple pendulum is given by the equation $E = \\frac{1}{2}m\\omega^2L^2$, where $m$ is the mass of the pendulum, $\\omega$ is the angular frequency, and $L$ is the length of the pendulum. The angular frequency is given by the equation $\\omega = \\sqrt{\\frac{g}{L}}$, where $g$ is the <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n      <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>               <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> acceleration due to gravity.<\/p>\n<p>If the length of the pendulum is doubled, the angular frequency will be halved. This is because the angular frequency is inversely proportional to the square root of the length of the pendulum. The energy of the pendulum is proportional to the square of the angular frequency, so the energy of the pendulum will be halved when the length of the pendulum is doubled.<\/p>\n<p>Option A is incorrect because the energy of the pendulum is not constant. The energy of the pendulum depends on the length of the pendulum.<\/p>\n<p>Option C is incorrect because the energy of the pendulum is not doubled when the length of the pendulum is doubled. The energy of the pendulum is halved when the length of the pendulum is doubled.<\/p>\n<p>Option D is incorrect because the energy of the pendulum is not quadrupled when the length of the pendulum is doubled. The energy of the pendulum is halved when the length of the pendulum is doubled.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"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 simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E<\/title>\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-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:34:03+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 simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E","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-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/","og_locale":"en_US","og_type":"article","og_title":"A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:34:03+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-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/","name":"A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:34:03+00:00","dateModified":"2024-04-15T02:34:03+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-simple-pendulum-of-length-l-has-an-energy-e-when-its-amplitude-is-a-if-the-length-of-pendulum-is-doubled-the-energy-will-be-a-e-b-fractexte2-c-2e-d-4e\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Applied mechanics and graphic statics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/applied-mechanics-and-graphic-statics\/"},{"@type":"ListItem","position":5,"name":"A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be A. E B. $$\\frac{{\\text{E}}}{2}$$ C. 2E D. 4E"}]},{"@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\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?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\/6779"}],"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=6779"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6779\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=6779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=6779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=6779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}