{"id":6865,"date":"2024-04-15T02:35:19","date_gmt":"2024-04-15T02:35:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6865"},"modified":"2024-04-15T02:35:19","modified_gmt":"2024-04-15T02:35:19","slug":"periodic-time-of-body-moving-with-simple-harmonic-motion-is-a-directly-proportional-to-its-angular-velocity-b-directly-proportional-to-the-square-of-its-angular-velocity-c-inversely-proportional-t","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/periodic-time-of-body-moving-with-simple-harmonic-motion-is-a-directly-proportional-to-its-angular-velocity-b-directly-proportional-to-the-square-of-its-angular-velocity-c-inversely-proportional-t\/","title":{"rendered":"Periodic time of body moving with simple harmonic motion, is A. Directly proportional to its angular velocity B. Directly proportional to the square of its angular velocity C. Inversely proportional to the square of its angular velocity D. Inversely proportional to its angular velocity"},"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_6ab2e240335a5\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Directly proportional to its angular velocity                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Directly proportional to the square of its angular velocity                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    Inversely proportional to the square of its angular velocity                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    Inversely proportional to its angular velocity                <\/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: <strong>D. Inversely proportional to its angular velocity<\/strong>.<\/p>\n<p>The period of a simple harmonic motion is the time it takes for an object to complete one full cycle of its motion. It is denoted by $T$. The angular velocity of a simple harmonic motion is the rate at which the object&#8217;s angle changes with time. It is denoted by $\\omega$.<\/p>\n<p>The relationship between the period and the angular velocity is given by the following equation:<\/p>\n<p>$$T = \\frac{2\\pi}{\\omega}$$<\/p>\n<p>This equation shows that the period is inversely proportional to the angular velocity. This means that as the angular velocity increases, the period <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                    <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> decreases.<\/p>\n<p>Here is a diagram that shows the relationship between the period and the angular velocity:<\/p>\n<p>[Diagram of a sine wave with the period and angular velocity labeled]<\/p>\n<p>The period is the time it takes for the object to go from one <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> peak to the next, or from one trough to the next. The angular velocity is the rate at which the object&#8217;s angle changes with time. The higher the angular velocity, the faster the object moves.<\/p>\n<p>I hope this explanation is helpful! Let me know if you have any other questions.<\/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>Periodic time of body moving with simple harmonic motion, is A. Directly proportional to its angular velocity B. Directly proportional to the square of its angular velocity C. Inversely proportional to the square of its angular velocity D. Inversely proportional to its angular velocity<\/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\/periodic-time-of-body-moving-with-simple-harmonic-motion-is-a-directly-proportional-to-its-angular-velocity-b-directly-proportional-to-the-square-of-its-angular-velocity-c-inversely-proportional-t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Periodic time of body moving with simple harmonic motion, is A. Directly proportional to its angular velocity B. Directly proportional to the square of its angular velocity C. Inversely proportional to the square of its angular velocity D. 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