{"id":86940,"date":"2025-06-01T04:23:55","date_gmt":"2025-06-01T04:23:55","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86940"},"modified":"2025-06-01T04:23:55","modified_gmt":"2025-06-01T04:23:55","slug":"which-one-of-the-following-is-the-conservation-law-from-which-the-bern","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/","title":{"rendered":"Which one of the following is the conservation law from which the Bern"},"content":{"rendered":"<p>Which one of the following is the conservation law from which the Bernoulli&#8217;s equation for fluid flow is derived?<\/p>\n<p>[amp_mcq option1=&#8221;Conservation of momentum&#8221; option2=&#8221;Conservation of volume&#8221; option3=&#8221;Conservation of mass&#8221; option4=&#8221;Conservation of energy&#8221; correct=&#8221;option4&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC Geoscientist &#8211; 2022<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-geoscientist-2022.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-geoscientist-2022\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nBernoulli&#8217;s equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; Bernoulli&#8217;s equation relates pressure, velocity, and elevation of a fluid.<br \/>\n&#8211; It is a form of the conservation of energy applied to fluid flow.<br \/>\n&#8211; Assumptions include inviscid, incompressible, and steady flow along a streamline.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe continuity equation, which represents conservation of mass, is often used alongside Bernoulli&#8217;s equation in fluid dynamics problems, relating the velocity of the fluid to the cross-sectional area of the flow. Conservation of momentum is related to forces and acceleration, as described by Newton&#8217;s laws, and is fundamental to the more general Navier-Stokes equations, which can reduce to Bernoulli&#8217;s equation under specific conditions.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Which one of the following is the conservation law from which the Bernoulli&#8217;s equation for fluid flow is derived? [amp_mcq option1=&#8221;Conservation of momentum&#8221; option2=&#8221;Conservation of volume&#8221; option3=&#8221;Conservation of mass&#8221; option4=&#8221;Conservation of energy&#8221; correct=&#8221;option4&#8243;] This question was previously asked in UPSC Geoscientist &#8211; 2022 Download PDFAttempt Online Bernoulli&#8217;s equation is derived from the principle of conservation &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Which one of the following is the conservation law from which the Bern\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/#more-86940\">Detailed Solution<span class=\"screen-reader-text\">Which one of the following is the conservation law from which the Bern<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1091],"tags":[1108,1129,1128],"class_list":["post-86940","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1108","tag-mechanics","tag-physics","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>Which one of the following is the conservation law from which the Bern<\/title>\n<meta name=\"description\" content=\"Bernoulli&#039;s equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element. - Bernoulli&#039;s equation relates pressure, velocity, and elevation of a fluid. - It is a form of the conservation of energy applied to fluid flow. - Assumptions include inviscid, incompressible, and steady flow along a streamline.\" \/>\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\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which one of the following is the conservation law from which the Bern\" \/>\n<meta property=\"og:description\" content=\"Bernoulli&#039;s equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element. - Bernoulli&#039;s equation relates pressure, velocity, and elevation of a fluid. - It is a form of the conservation of energy applied to fluid flow. - Assumptions include inviscid, incompressible, and steady flow along a streamline.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T04:23:55+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":"Which one of the following is the conservation law from which the Bern","description":"Bernoulli's equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element. - Bernoulli's equation relates pressure, velocity, and elevation of a fluid. - It is a form of the conservation of energy applied to fluid flow. - Assumptions include inviscid, incompressible, and steady flow along a streamline.","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\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/","og_locale":"en_US","og_type":"article","og_title":"Which one of the following is the conservation law from which the Bern","og_description":"Bernoulli's equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element. - Bernoulli's equation relates pressure, velocity, and elevation of a fluid. - It is a form of the conservation of energy applied to fluid flow. - Assumptions include inviscid, incompressible, and steady flow along a streamline.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T04:23:55+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\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/","name":"Which one of the following is the conservation law from which the Bern","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T04:23:55+00:00","dateModified":"2025-06-01T04:23:55+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Bernoulli's equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element. - Bernoulli's equation relates pressure, velocity, and elevation of a fluid. - It is a form of the conservation of energy applied to fluid flow. - Assumptions include inviscid, incompressible, and steady flow along a streamline.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-bern\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC Geoscientist","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-geoscientist\/"},{"@type":"ListItem","position":3,"name":"Which one of the following is the conservation law from which the Bern"}]},{"@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\/86940","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=86940"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86940\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86940"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86940"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86940"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}