{"id":84774,"date":"2025-06-01T02:49:51","date_gmt":"2025-06-01T02:49:51","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=84774"},"modified":"2025-06-01T02:49:51","modified_gmt":"2025-06-01T02:49:51","slug":"the-pressure-of-a-fluid-varies-with-depth-h-as-p-p%e2%82%80-pgh-where-%cf%81-i","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-pressure-of-a-fluid-varies-with-depth-h-as-p-p%e2%82%80-pgh-where-%cf%81-i\/","title":{"rendered":"The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i"},"content":{"rendered":"

The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 is the fluid density. This expression is associated with<\/p>\n

[amp_mcq option1=”Pascal’s law” option2=”Newton’s law” option3=”Bernoulli’s principle” option4=”Archimedes’ principle” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-1 – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. P\u2080 is the pressure at the surface (e.g., atmospheric pressure), \u03c1 is the fluid density, g is the acceleration due to gravity, and h is the depth. This formula describes the hydrostatic pressure at a given depth. This concept and formula are fundamental to hydrostatics, a field significantly contributed to by Blaise Pascal. While the formula is derived from basic principles of force and pressure (considering the weight of the fluid column), it is most directly associated with Pascal’s principles of hydrostatics, which deal with the pressure exerted by fluids at rest and its transmission.
\n<\/section>\n
\n– The formula P = P\u2080 + \u03c1gh quantifies hydrostatic pressure variation with depth.
\n– Pascal’s contributions were foundational to understanding fluid pressure at rest and its transmission.
\n<\/section>\n
\nNewton’s laws relate to motion and force. Bernoulli’s principle relates pressure, velocity, and height in fluid flow (fluid dynamics). Archimedes’ principle relates to buoyancy and displaced fluid. While all are important concepts in fluid mechanics, the specific formula for pressure variation with depth in a static fluid is most closely linked to the principles and studies of hydrostatics pioneered by Pascal.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 is the fluid density. This expression is associated with [amp_mcq option1=”Pascal’s law” option2=”Newton’s law” option3=”Bernoulli’s principle” option4=”Archimedes’ principle” correct=”option1″] This question was previously asked in UPSC CDS-1 – 2018 Download PDFAttempt Online The expression P = P\u2080 + … <\/p>\n

Detailed SolutionThe pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i<\/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":[1087],"tags":[1114,1129,1128],"class_list":["post-84774","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1114","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i<\/title>\n<meta name=\"description\" content=\"The expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. P\u2080 is the pressure at the surface (e.g., atmospheric pressure), \u03c1 is the fluid density, g is the acceleration due to gravity, and h is the depth. This formula describes the hydrostatic pressure at a given depth. This concept and formula are fundamental to hydrostatics, a field significantly contributed to by Blaise Pascal. While the formula is derived from basic principles of force and pressure (considering the weight of the fluid column), it is most directly associated with Pascal's principles of hydrostatics, which deal with the pressure exerted by fluids at rest and its transmission. - The formula P = P\u2080 + \u03c1gh quantifies hydrostatic pressure variation with depth. - Pascal's contributions were foundational to understanding fluid pressure at rest and its transmission.\" \/>\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-pressure-of-a-fluid-varies-with-depth-h-as-p-p\u2080-pgh-where-\u03c1-i\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i\" \/>\n<meta property=\"og:description\" content=\"The expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. P\u2080 is the pressure at the surface (e.g., atmospheric pressure), \u03c1 is the fluid density, g is the acceleration due to gravity, and h is the depth. This formula describes the hydrostatic pressure at a given depth. This concept and formula are fundamental to hydrostatics, a field significantly contributed to by Blaise Pascal. While the formula is derived from basic principles of force and pressure (considering the weight of the fluid column), it is most directly associated with Pascal's principles of hydrostatics, which deal with the pressure exerted by fluids at rest and its transmission. - The formula P = P\u2080 + \u03c1gh quantifies hydrostatic pressure variation with depth. - Pascal's contributions were foundational to understanding fluid pressure at rest and its transmission.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-pressure-of-a-fluid-varies-with-depth-h-as-p-p\u2080-pgh-where-\u03c1-i\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T02:49:51+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 pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i","description":"The expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. P\u2080 is the pressure at the surface (e.g., atmospheric pressure), \u03c1 is the fluid density, g is the acceleration due to gravity, and h is the depth. This formula describes the hydrostatic pressure at a given depth. This concept and formula are fundamental to hydrostatics, a field significantly contributed to by Blaise Pascal. While the formula is derived from basic principles of force and pressure (considering the weight of the fluid column), it is most directly associated with Pascal's principles of hydrostatics, which deal with the pressure exerted by fluids at rest and its transmission. - The formula P = P\u2080 + \u03c1gh quantifies hydrostatic pressure variation with depth. - Pascal's contributions were foundational to understanding fluid pressure at rest and its transmission.","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-pressure-of-a-fluid-varies-with-depth-h-as-p-p\u2080-pgh-where-\u03c1-i\/","og_locale":"en_US","og_type":"article","og_title":"The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i","og_description":"The expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. 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While the formula is derived from basic principles of force and pressure (considering the weight of the fluid column), it is most directly associated with Pascal's principles of hydrostatics, which deal with the pressure exerted by fluids at rest and its transmission. - The formula P = P\u2080 + \u03c1gh quantifies hydrostatic pressure variation with depth. - Pascal's contributions were foundational to understanding fluid pressure at rest and its transmission.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-pressure-of-a-fluid-varies-with-depth-h-as-p-p\u2080-pgh-where-\u03c1-i\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T02:49:51+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-pressure-of-a-fluid-varies-with-depth-h-as-p-p%e2%82%80-pgh-where-%cf%81-i\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-pressure-of-a-fluid-varies-with-depth-h-as-p-p%e2%82%80-pgh-where-%cf%81-i\/","name":"The pressure of a fluid varies with depth h as P = P\u2080 + pgh, where \u03c1 i","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T02:49:51+00:00","dateModified":"2025-06-01T02:49:51+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The expression P = P\u2080 + \u03c1gh gives the total pressure at a depth h in a fluid. 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