{"id":86951,"date":"2025-06-01T04:24:12","date_gmt":"2025-06-01T04:24:12","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86951"},"modified":"2025-06-01T04:24:12","modified_gmt":"2025-06-01T04:24:12","slug":"which-one-of-the-following-is-the-conservation-law-from-which-the-equa","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-conservation-law-from-which-the-equa\/","title":{"rendered":"Which one of the following is the conservation law from which the equa"},"content":{"rendered":"

Which one of the following is the conservation law from which the equation of continuity for fluid flow is derived?<\/p>\n

[amp_mcq option1=”Conservation of momentum” option2=”Conservation of volume” option3=”Conservation of mass” option4=”Conservation of energy” correct=”option3″]<\/p>\n

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This question was previously asked in<\/div>\n
UPSC Geoscientist – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe equation of continuity for fluid flow is a direct consequence of the conservation of mass principle. It states that mass is conserved within a flowing fluid system, meaning it is neither created nor destroyed.
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\nIn a steady flow of a fluid, the equation of continuity relates the fluid density, flow speed, and cross-sectional area of the flow channel. For any given section of a fluid flow, the rate at which mass enters that section must equal the rate at which mass leaves, assuming no sources or sinks within the section. This principle is a statement of mass conservation applied to fluid dynamics.
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\nFor an incompressible fluid (where density \u03c1 is constant), the continuity equation simplifies to A\u2081v\u2081 = A\u2082v\u2082, meaning the product of the cross-sectional area and the fluid velocity is constant along a streamline. This reflects that if the area decreases, the velocity must increase to maintain a constant mass flow rate. Other conservation laws (momentum and energy) are fundamental to deriving other equations in fluid dynamics, such as the Navier-Stokes equations and Bernoulli’s equation, respectively.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Which one of the following is the conservation law from which the equation of continuity for fluid flow is derived? [amp_mcq option1=”Conservation of momentum” option2=”Conservation of volume” option3=”Conservation of mass” option4=”Conservation of energy” correct=”option3″] This question was previously asked in UPSC Geoscientist – 2022 Download PDFAttempt Online The equation of continuity for fluid flow is … <\/p>\n

Detailed SolutionWhich one of the following is the conservation law from which the equa<\/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-86951","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nWhich one of the following is the conservation law from which the equa<\/title>\n<meta name=\"description\" content=\"The equation of continuity for fluid flow is a direct consequence of the conservation of mass principle. It states that mass is conserved within a flowing fluid system, meaning it is neither created nor destroyed. In a steady flow of a fluid, the equation of continuity relates the fluid density, flow speed, and cross-sectional area of the flow channel. For any given section of a fluid flow, the rate at which mass enters that section must equal the rate at which mass leaves, assuming no sources or sinks within the section. This principle is a statement of mass conservation applied to fluid dynamics.\" \/>\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-equa\/\" \/>\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 equa\" \/>\n<meta property=\"og:description\" content=\"The equation of continuity for fluid flow is a direct consequence of the conservation of mass principle. It states that mass is conserved within a flowing fluid system, meaning it is neither created nor destroyed. In a steady flow of a fluid, the equation of continuity relates the fluid density, flow speed, and cross-sectional area of the flow channel. For any given section of a fluid flow, the rate at which mass enters that section must equal the rate at which mass leaves, assuming no sources or sinks within the section. 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