{"id":6770,"date":"2024-04-15T02:33:55","date_gmt":"2024-04-15T02:33:55","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6770"},"modified":"2024-04-15T02:33:55","modified_gmt":"2024-04-15T02:33:55","slug":"if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/","title":{"rendered":"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A"},"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_6a9e0e7b1ce21\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    proportional to A                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    proportional to A2                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    proportional to $$\frac{1}{{{{\text{A}}^2}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    independent of A                <\/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: B. proportional to A2<\/p>\n<p>The total energy of a particle executing simple harmonic motion is given by the equation $E = \\frac{1}{2}kA^2$, where $k$ is the spring constant. The spring constant is a measure of the stiffness of the spring, and it is proportional to the force required to stretch or compress the spring by a unit distance. The amplitude of the motion is the maximum displacement of the particle from its equilibrium position.<\/p>\n<p>The total energy of a particle executing simple harmonic motion is proportional to the square of the amplitude. This is because the potential energy of the particle is proportional to the square of the displacement, and the kinetic energy of the particle is proportional to the square of the velocity. The velocity of the particle is maximum when it is at its equilibrium position, and the displacement is zero at this point. Therefore, the potential energy of the particle is maximum at this point, and the kinetic energy of the particle is zero. As the particle moves away from its equilibrium position, its potential energy decreases and its kinetic energy increases. When the particle reaches its maximum displacement, its potential energy is zero and its kinetic energy is maximum. As the particle moves back towards its equilibrium <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     <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>        <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <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> position, its kinetic energy decreases and its potential energy increases. When the particle reaches its equilibrium position, its kinetic energy is zero and its potential energy is maximum.<\/p>\n<p>The total energy of the particle is the sum of its potential energy and its kinetic energy. Therefore, the total energy of the particle is proportional to the square of the amplitude.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel 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>If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A<\/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\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A\" \/>\n<meta property=\"og:description\" content=\"Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:33:55+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":"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A","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\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/","og_locale":"en_US","og_type":"article","og_title":"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A","og_description":"Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:33:55+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\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/","name":"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:33:55+00:00","dateModified":"2024-04-15T02:33:55+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-is-the-amplitude-of-particle-executing-simple-harmonic-motion-then-the-total-energy-e-of-the-particle-is-a-proportional-to-a-b-proportional-to-a2-c-proportional-to-frac1texta2-2\/#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":"If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is A. proportional to A B. proportional to A2 C. proportional to $$\\frac{1}{{{{\\text{A}}^2}}}$$ D. independent of A"}]},{"@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\/6770"}],"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=6770"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6770\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=6770"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=6770"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=6770"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}