{"id":7187,"date":"2024-04-15T02:40:59","date_gmt":"2024-04-15T02:40:59","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7187"},"modified":"2024-04-15T02:40:59","modified_gmt":"2024-04-15T02:40:59","slug":"least-possible-value-of-correction-factor-for-i-kinetic-energy-is-zero-ii-kinetic-energy-is-1-iii-momentum-is-zero-iv-momentum-is-1-the-correct-statements-are-a-i-and-iii-b-ii-and-iii-c","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/least-possible-value-of-correction-factor-for-i-kinetic-energy-is-zero-ii-kinetic-energy-is-1-iii-momentum-is-zero-iv-momentum-is-1-the-correct-statements-are-a-i-and-iii-b-ii-and-iii-c\/","title":{"rendered":"Least possible value of correction factor for i) kinetic energy is zero ii) kinetic energy is 1 iii) momentum is zero iv) momentum is 1 The correct statements are A. (i) and (iii) B. (ii) and (iii) C. (i) and (iv) D. (ii) and (iv)"},"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_6a9c253a863c4\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    (i) and (iii)                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    (ii) and (iii)                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    (i) and (iv)                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    (ii) and (iv)                <\/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. (i) and (iii).<\/p>\n<p>The correction factor is a dimensionless quantity that is used to account for the effects of relativity on the motion of particles. It is given by the following equation:<\/p>\n<p>$$\\gamma = \\frac{1}{\\sqrt{1 &#8211; \\frac{v^2}{c^2}}}$$<\/p>\n<p>where $v$ is the velocity of the particle and $c$ is the speed of light.<\/p>\n<p>The correction factor is always greater than or equal to 1. When $v = 0$, then $\\gamma = 1$. When $v = c$, then $\\gamma = \\infty$.<\/p>\n<p>The kinetic energy of a particle is given by the following equation:<\/p>\n<p>$$E_k = \\frac{1}{2}mv^2$$<\/p>\n<p>where $m$ is the mass of the particle.<\/p>\n<p>The momentum of a particle is given by the following equation:<\/p>\n<p>$$p = mv$$<\/p>\n<p>When the kinetic energy of a particle is zero, then the velocity of the particle is also zero. This means that the correction factor is also zero.<\/p>\n<p>When the momentum of a particle is zero, then the velocity of 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> particle is not necessarily zero. This means that the correction factor is not necessarily zero.<\/p>\n<p>Therefore, the least possible value of <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> the correction factor is zero when the kinetic energy of the particle is zero. The least possible value of the correction factor is not zero when the momentum of the particle is zero.<\/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":[648],"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>Least possible value of correction factor for i) kinetic energy is zero ii) kinetic energy is 1 iii) momentum is zero iv) momentum is 1 The correct statements are A. (i) and (iii) B. (ii) and (iii) C. (i) and (iv) D. 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