{"id":7137,"date":"2024-04-15T02:40:07","date_gmt":"2024-04-15T02:40:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7137"},"modified":"2024-04-15T02:40:07","modified_gmt":"2024-04-15T02:40:07","slug":"when-a-liquid-rotates-at-a-constant-angular-velocity-about-a-vertical-axis-as-a-rigid-body-the-pressure-intensity-varies-a-linearly-with-radial-distance-b-as-the-square-of-the-radial-distance-c-in","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/when-a-liquid-rotates-at-a-constant-angular-velocity-about-a-vertical-axis-as-a-rigid-body-the-pressure-intensity-varies-a-linearly-with-radial-distance-b-as-the-square-of-the-radial-distance-c-in\/","title":{"rendered":"When a liquid rotates at a constant angular velocity about a vertical axis as a rigid body, the pressure intensity varies A. linearly with radial distance B. as the square of the radial distance C. inversely as the square of the radial distance D. inversely as the radial distance"},"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_6a9928a4be355\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    linearly with radial distance                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    as the square of the radial distance                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    inversely as the square of the radial distance                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    inversely as the radial distance                <\/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. inversely as the square of the radial distance.<\/p>\n<p>The pressure intensity at a point in a rotating fluid is given by the following equation:<\/p>\n<p>$$P = P_0 + \\rho \\omega^2 r^2$$<\/p>\n<p>where $P_0$ is the pressure at the center of the fluid, $\\rho$ is the density of the fluid, $\\omega$ is the angular velocity of the fluid, and $r$ is the radial distance from the center of the fluid.<\/p>\n<p>As you can see from the equation, the pressure intensity increases with the square of the radial distance. This is because the centrifugal force acting on a particle in a rotating fluid increases with the square of the radial distance. The centrifugal force pushes the particle away from the center of the fluid, which increases the pressure at that point.<\/p>\n<p>The other options are incorrect because they do not take into account the centrifugal force. Option A states that 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 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>    <\/div> pressure intensity varies linearly with radial distance. This is not correct because the pressure intensity increases more rapidly with radial distance than linearly. Option B states that the pressure intensity varies as the square of the radial distance. This is correct, but it is not the only factor that affects the pressure intensity. Option D states that the pressure intensity varies inversely as the radial distance. This is not correct because the pressure intensity increases with radial distance.<\/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>When a liquid rotates at a constant angular velocity about a vertical axis as a rigid body, the pressure intensity varies A. linearly with radial distance B. as the square of the radial distance C. inversely as the square of the radial distance D. inversely as the radial distance<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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