{"id":7136,"date":"2024-04-15T02:40:06","date_gmt":"2024-04-15T02:40:06","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7136"},"modified":"2024-04-15T02:40:06","modified_gmt":"2024-04-15T02:40:06","slug":"the-horse-power-transmitted-through-a-pipe-is-maximum-when-the-ratio-of-loss-of-head-due-to-friction-and-total-head-supplied-is-a-frac13-b-frac14-c-frac12-d-frac","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-horse-power-transmitted-through-a-pipe-is-maximum-when-the-ratio-of-loss-of-head-due-to-friction-and-total-head-supplied-is-a-frac13-b-frac14-c-frac12-d-frac\/","title":{"rendered":"The horse power transmitted through a pipe is maximum when the ratio of loss of head due to friction and total head supplied is A. $$\\frac{1}{3}$$ B. $$\\frac{1}{4}$$ C. $$\\frac{1}{2}$$ D. $$\\frac{2}{3}$$"},"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_6a991741c454c\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    $$\frac{1}{3}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    $$\frac{1}{4}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{1}{2}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $$\frac{2}{3}$$                <\/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                        \/\/ 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<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\frac{1}{2}}$.<\/p>\n<p>The head loss due to friction is given by the following equation:<\/p>\n<p>$$h_f = \\frac{L}{D} \\cdot \\frac{v^2}{2g}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$h_f$ is the head loss due to friction<\/li>\n<li>$L$ is the length of the pipe<\/li>\n<li>$D$ is the diameter of the pipe<\/li>\n<li>$v$ is the velocity of the fluid<\/li>\n<li>$g$ is the acceleration <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        <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>     <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> due to gravity<\/li>\n<\/ul>\n<p>The total head supplied is given by the following equation:<\/p>\n<p>$$h_t = h_f + h_g$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$h_t$ is the total head supplied<\/li>\n<li>$h_f$ is the head loss due to friction<\/li>\n<li>$h_g$ is the head due to gravity<\/li>\n<\/ul>\n<p>The horsepower transmitted through a pipe is given by the following equation:<\/p>\n<p>$$P = \\frac{Q \\cdot h_t}{\\eta}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$P$ is the horsepower transmitted through the pipe<\/li>\n<li>$Q$ is the flow rate<\/li>\n<li>$h_t$ is the total head supplied<\/li>\n<li>$\\eta$ is the efficiency of the pump<\/li>\n<\/ul>\n<p>The efficiency of a pump is typically between 0.7 and 0.9.<\/p>\n<p>The horsepower transmitted through a pipe is maximum when the ratio of loss of head due to friction and total head supplied is $\\frac{1}{2}$. This is because the head loss due to friction is proportional to the square of the velocity, while the total head supplied is proportional to the velocity. Therefore, when the ratio of loss of head due to friction and total head supplied is $\\frac{1}{2}$, the velocity is at a minimum, and the horsepower transmitted through the pipe is at a maximum.<\/p>\n<p>The other options are incorrect because they do not result in the maximum horsepower transmitted through the pipe.<\/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>The horse power transmitted through a pipe is maximum when the ratio of loss of head due to friction and total head supplied is A. $$\\frac{1}{3}$$ B. $$\\frac{1}{4}$$ C. $$\\frac{1}{2}$$ D. 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