{"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>[amp_mcq option1=&#8221;$$\\frac{1}{3}$$&#8221; option2=&#8221;$$\\frac{1}{4}$$&#8221; option3=&#8221;$$\\frac{1}{2}$$&#8221; option4=&#8221;$$\\frac{2}{3}$$&#8221; correct=&#8221;option2&#8243;]<!--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 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>[amp_mcq option1=&#8221;$$\\frac{1}{3}$$&#8221; option2=&#8221;$$\\frac{1}{4}$$&#8221; option3=&#8221;$$\\frac{1}{2}$$&#8221; option4=&#8221;$$\\frac{2}{3}$$&#8221; correct=&#8221;option2&#8243;]<\/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":[],"class_list":["post-7136","post","type-post","status-publish","format-standard","hentry","category-hydraulics-and-fluid-mechanics","no-featured-image-padding"],"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. $$\\frac{2}{3}$$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"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\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"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. $$\\frac{2}{3}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{1}{3}$$&#8221; option2=&#8221;$$frac{1}{4}$$&#8221; option3=&#8221;$$frac{1}{2}$$&#8221; option4=&#8221;$$frac{2}{3}$$&#8221; correct=&#8221;option2&#8243;]\" \/>\n<meta property=\"og:url\" content=\"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\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:40:06+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"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. $$\\frac{2}{3}$$","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"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\/","og_locale":"en_US","og_type":"article","og_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. $$\\frac{2}{3}$$","og_description":"[amp_mcq option1=&#8221;$$frac{1}{3}$$&#8221; option2=&#8221;$$frac{1}{4}$$&#8221; option3=&#8221;$$frac{1}{2}$$&#8221; option4=&#8221;$$frac{2}{3}$$&#8221; correct=&#8221;option2&#8243;]","og_url":"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\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:40:06+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"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\/","url":"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\/","name":"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. $$\\frac{2}{3}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:40:06+00:00","dateModified":"2024-04-15T02:40:06+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"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\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["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\/"]}]},{"@type":"BreadcrumbList","@id":"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\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Hydraulics and fluid mechanics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/hydraulics-and-fluid-mechanics\/"},{"@type":"ListItem","position":5,"name":"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. $$\\frac{2}{3}$$"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/7136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=7136"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/7136\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=7136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=7136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=7136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}