{"id":7399,"date":"2024-04-15T02:44:17","date_gmt":"2024-04-15T02:44:17","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7399"},"modified":"2024-04-15T02:44:17","modified_gmt":"2024-04-15T02:44:17","slug":"if-d1-and-d2-are-depths-of-water-upstream-and-downstream-of-a-hydraulic-jump-the-loss-of-head-at-the-jump-is-a-fracleft-textd_2-textd_1-right3textd_1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-d1-and-d2-are-depths-of-water-upstream-and-downstream-of-a-hydraulic-jump-the-loss-of-head-at-the-jump-is-a-fracleft-textd_2-textd_1-right3textd_1\/","title":{"rendered":"If D1 and D2 are depths of water upstream and downstream of a hydraulic jump, the loss of head at the jump, is A. $$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$ B. $$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$ C. $$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$ D. $$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option2=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option3=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option4=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$.<\/p>\n<p>A hydraulic jump is a sudden change in the depth of a fluid, typically a liquid, caused by a change in the flow conditions. The jump is characterized by a sudden increase in the water depth and a decrease in the water velocity. The loss of head at the jump is the difference in the water energy between the upstream and downstream of the jump.<\/p>\n<p>The loss of head at a hydraulic jump can be calculated using the following equation:<\/p>\n<p>$$\\Delta h = \\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$\\Delta h$ is the loss of head at the jump,<\/li>\n<li>$D_1$ is the depth of water upstream of the jump,<\/li>\n<li>$D_2$ is the depth of water downstream of the jump.<\/li>\n<\/ul>\n<p>The equation shows that the loss of head is proportional to the cube of the difference in the water depths. This means that a small change in the water depth can cause a large change in the loss of head.<\/p>\n<p>The loss of head at a hydraulic jump can be reduced by increasing the upstream depth of water. This can be done by using a weir or a dam to raise the water level. The loss of head can also be reduced by decreasing the downstream depth of water. This can be done by using a sluice gate or a diffuser to lower the water level.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option2=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option3=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; option4=&#8221;$$\\frac{{{{\\left( {{{\\text{D}}_2} &#8211; {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[649],"tags":[],"class_list":["post-7399","post","type-post","status-publish","format-standard","hentry","category-irrigation-engineering","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>If D1 and D2 are depths of water upstream and downstream of a hydraulic jump, the loss of head at the jump, is A. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$ B. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$ C. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$ D. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$<\/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\/if-d1-and-d2-are-depths-of-water-upstream-and-downstream-of-a-hydraulic-jump-the-loss-of-head-at-the-jump-is-a-fracleft-textd_2-textd_1-right3textd_1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If D1 and D2 are depths of water upstream and downstream of a hydraulic jump, the loss of head at the jump, is A. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$ B. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$ C. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$ D. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{{{left( {{{text{D}}_2} &#8211; {{text{D}}_1}} right)}^3}}}{{{{text{D}}_1}{{text{D}}_2}}}$$&#8221; option2=&#8221;$$frac{{{{left( {{{text{D}}_2} &#8211; {{text{D}}_1}} right)}^3}}}{{2{{text{D}}_1}{{text{D}}_2}}}$$&#8221; option3=&#8221;$$frac{{{{left( {{{text{D}}_2} &#8211; {{text{D}}_1}} right)}^3}}}{{3{{text{D}}_1}{{text{D}}_2}}}$$&#8221; option4=&#8221;$$frac{{{{left( {{{text{D}}_2} &#8211; {{text{D}}_1}} right)}^3}}}{{4{{text{D}}_1}{{text{D}}_2}}}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-d1-and-d2-are-depths-of-water-upstream-and-downstream-of-a-hydraulic-jump-the-loss-of-head-at-the-jump-is-a-fracleft-textd_2-textd_1-right3textd_1\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:44:17+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=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If D1 and D2 are depths of water upstream and downstream of a hydraulic jump, the loss of head at the jump, is A. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$ B. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$ C. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$ D. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$","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\/if-d1-and-d2-are-depths-of-water-upstream-and-downstream-of-a-hydraulic-jump-the-loss-of-head-at-the-jump-is-a-fracleft-textd_2-textd_1-right3textd_1\/","og_locale":"en_US","og_type":"article","og_title":"If D1 and D2 are depths of water upstream and downstream of a hydraulic jump, the loss of head at the jump, is A. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{{{\\text{D}}_1}{{\\text{D}}_2}}}$$ B. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{2{{\\text{D}}_1}{{\\text{D}}_2}}}$$ C. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{3{{\\text{D}}_1}{{\\text{D}}_2}}}$$ D. $$\\frac{{{{\\left( {{{\\text{D}}_2} - {{\\text{D}}_1}} \\right)}^3}}}{{4{{\\text{D}}_1}{{\\text{D}}_2}}}$$","og_description":"[amp_mcq option1=&#8221;$$frac{{{{left( {{{text{D}}_2} &#8211; 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