{"id":21728,"date":"2024-04-15T06:10:16","date_gmt":"2024-04-15T06:10:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=21728"},"modified":"2024-04-15T06:10:16","modified_gmt":"2024-04-15T06:10:16","slug":"out-of-the-following-pairs-choose-the-pair-in-which-the-physical-quantities-do-not-have-identical-dimension-a-pressure-and-youngs-modules-b-plancks-constant-and-angular-momentum-c-impulse-and","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/out-of-the-following-pairs-choose-the-pair-in-which-the-physical-quantities-do-not-have-identical-dimension-a-pressure-and-youngs-modules-b-plancks-constant-and-angular-momentum-c-impulse-and\/","title":{"rendered":"Out of the following pairs, choose the pair in which the physical quantities do not have identical dimension? A. Pressure and Young&#8217;s modules B. Planck&#8217;s constant and Angular momentum C. Impulse and moment of force D. Force and rate of change of linear momentum"},"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_6a987472b317b\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Pressure and Young&#039;s modules                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Planck&#039;s constant and Angular momentum                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    Impulse and moment of force                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Force and rate of change of linear momentum                <\/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 C. Impulse and moment of force.<\/p>\n<p>Impulse is a measure of the change in momentum of an object, while moment of force is a measure of the torque exerted on an object. The dimensions of impulse are $MLT^{-1}$, while the dimensions <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> of moment of force are $ML^2T^{-2}$. Therefore, impulse and moment of force do not have identical dimensions.<\/p>\n<p>In more detail, impulse is defined as the product of force and time, $J = Ft$. Force is a vector quantity, so it has both magnitude and direction. The magnitude of force is measured in newtons (N), and the direction of force is indicated by a unit vector. Time is a scalar quantity, so it is measured in seconds (s). Therefore, the dimensions of impulse are $MLT^{-1}$.<\/p>\n<p>Moment of force is defined as the product of force and the perpendicular distance from the line of action of the force to the point of rotation, $M = Fd$. Force is a vector quantity, so it has both magnitude and direction. The magnitude of force is measured in newtons (N), and the direction of force is indicated by a unit vector. The perpendicular distance is a scalar quantity, so it is measured in meters (m). Therefore, the dimensions of moment of force are $ML^2T^{-2}$.<\/p>\n<p>As you can see, the dimensions of impulse and moment of force are not the same. Therefore, impulse and moment of force do not have identical dimensions.<\/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":[25],"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>Out of the following pairs, choose the pair in which the physical quantities do not have identical dimension? A. Pressure and Young&#039;s modules B. Planck&#039;s constant and Angular momentum C. Impulse and moment of force D. 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