{"id":6751,"date":"2024-04-15T02:33:38","date_gmt":"2024-04-15T02:33:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6751"},"modified":"2024-04-15T02:33:38","modified_gmt":"2024-04-15T02:33:38","slug":"pick-up-the-incorrect-statement-from-the-following-in-a-simple-harmonic-motion-a-velocity-is-maximum-at-its-mean-position-b-velocity-is-minimum-at-the-end-of-the-stroke-c-acceleration-is-minimum-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-incorrect-statement-from-the-following-in-a-simple-harmonic-motion-a-velocity-is-maximum-at-its-mean-position-b-velocity-is-minimum-at-the-end-of-the-stroke-c-acceleration-is-minimum-a\/","title":{"rendered":"Pick up the incorrect statement from the following. In a simple harmonic motion A. Velocity is maximum at its mean position B. Velocity is minimum at the end of the stroke C. Acceleration is minimum at the end of the stroke D. Acceleration is zero at the mean position"},"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_6a9d24ce2c40a\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    Velocity is maximum at its mean position                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Velocity is minimum at the end of the stroke                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    Acceleration is minimum at the end of the stroke                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Acceleration is zero at the mean position                <\/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: A. Velocity is maximum at its mean position.<\/p>\n<p>In a simple harmonic motion, the velocity is maximum at the extreme positions and minimum at the mean position. The acceleration is maximum at the mean position and zero at the extreme positions.<\/p>\n<p>The velocity of a particle in simple harmonic motion is given by:<\/p>\n<p>$$v = \\pm \\omega \\sqrt{A^2 &#8211; x^2}$$<\/p>\n<p>where $\\omega$ is the angular frequency of the motion, $A$ is the amplitude of the motion, and $x$ is the displacement of the particle from the mean position.<\/p>\n<p>The acceleration of a particle in simple harmonic motion is given by:<\/p>\n<p>$$a = -\\omega^2 x$$<\/p>\n<p>where $\\omega$ is the angular frequency of the motion and $x$ is the displacement of the particle from the mean position.<\/p>\n<p>From the equations for the velocity and acceleration, we can see that the velocity is maximum at the extreme positions, where $x = \\pm A$, and minimum at the <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> mean position, where $x = 0$. 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                    <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 is maximum at the mean position, where $x = 0$, and zero at the extreme positions, where $x = \\pm A$.<\/p>\n<p>Therefore, the statement &#8220;Velocity is maximum at its mean position&#8221; is incorrect.<\/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>Pick up the incorrect statement from the following. 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