{"id":7465,"date":"2024-04-15T02:45:22","date_gmt":"2024-04-15T02:45:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7465"},"modified":"2024-04-15T02:45:22","modified_gmt":"2024-04-15T02:45:22","slug":"if-the-height-of-the-hydraulic-gradient-line-above-the-floor-of-thickness-t-is-h-and-the-specific-gravity-of-the-material-of-the-floor-is-g-the-minimum-thickness-t-of-the-floor-downstream-of-the-cres","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-height-of-the-hydraulic-gradient-line-above-the-floor-of-thickness-t-is-h-and-the-specific-gravity-of-the-material-of-the-floor-is-g-the-minimum-thickness-t-of-the-floor-downstream-of-the-cres\/","title":{"rendered":"If the height of the hydraulic gradient line above the floor of thickness t is h and the specific gravity of the material of the floor is G, the minimum thickness t of the floor downstream of the crest-wall, is given by the equation A. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{{\\text{G}} + {\\text{t}}}}$$ B. $${\\text{t}} = \\frac{{{\\text{h}} &#8211; 1}}{{{\\text{G}} + {\\text{t}}}}$$ C. $${\\text{t}} = \\frac{{{\\text{h}} &#8211; 1}}{{{\\text{G}} &#8211; {\\text{t}}}}$$ D. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{\\text{G}}}$$"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9f6d793762d\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    $${\text{t}} = \frac{{{\text{h}} + 1}}{{{\text{G}} + {\text{t}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $${\text{t}} = \frac{{{\text{h}} - 1}}{{{\text{G}} + {\text{t}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $${\text{t}} = \frac{{{\text{h}} - 1}}{{{\text{G}} - {\text{t}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $${\text{t}} = \frac{{{\text{h}} + 1}}{{\text{G}}}$$                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{A}}$.<\/p>\n<p>The hydraulic gradient line is a line that represents the direction of flow of water. The specific gravity of a material is the ratio of its density to the density of water. The minimum thickness of the floor downstream of the crest-wall is the thickness of the floor that <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n      <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>       Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> is required to prevent the water from flowing through the floor.<\/p>\n<p>The equation for the minimum thickness of the floor downstream of the crest-wall is given by:<\/p>\n<p>$$t = \\frac{h + 1}{G + t}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$t$ is the minimum thickness of the floor downstream of the crest-wall<\/li>\n<li>$h$ is the height of the hydraulic gradient line above the floor<\/li>\n<li>$G$ is the specific gravity of the material of the floor<\/li>\n<\/ul>\n<p>The equation can be derived by considering the force balance on a small element of the floor. The force due to the weight of the water is equal to the force due to the pressure of the water. The pressure of the water is equal to the hydraulic head times the specific gravity of the water. The hydraulic head is equal to the height of the hydraulic gradient line above the floor.<\/p>\n<p>Therefore, the equation for the minimum thickness of the floor downstream of the crest-wall is given by:<\/p>\n<p>$$t = \\frac{h + 1}{G + t}$$<\/p>\n<p>The other options are incorrect because they do not take into account the specific gravity of the material of the floor.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/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":[],"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 the height of the hydraulic gradient line above the floor of thickness t is h and the specific gravity of the material of the floor is G, the minimum thickness t of the floor downstream of the crest-wall, is given by the equation A. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{{\\text{G}} + {\\text{t}}}}$$ B. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} + {\\text{t}}}}$$ C. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} - {\\text{t}}}}$$ D. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{\\text{G}}}$$<\/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-the-height-of-the-hydraulic-gradient-line-above-the-floor-of-thickness-t-is-h-and-the-specific-gravity-of-the-material-of-the-floor-is-g-the-minimum-thickness-t-of-the-floor-downstream-of-the-cres\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the height of the hydraulic gradient line above the floor of thickness t is h and the specific gravity of the material of the floor is G, the minimum thickness t of the floor downstream of the crest-wall, is given by the equation A. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{{\\text{G}} + {\\text{t}}}}$$ B. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} + {\\text{t}}}}$$ C. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} - {\\text{t}}}}$$ D. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{\\text{G}}}$$\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-height-of-the-hydraulic-gradient-line-above-the-floor-of-thickness-t-is-h-and-the-specific-gravity-of-the-material-of-the-floor-is-g-the-minimum-thickness-t-of-the-floor-downstream-of-the-cres\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:45:22+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":"If the height of the hydraulic gradient line above the floor of thickness t is h and the specific gravity of the material of the floor is G, the minimum thickness t of the floor downstream of the crest-wall, is given by the equation A. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{{\\text{G}} + {\\text{t}}}}$$ B. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} + {\\text{t}}}}$$ C. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} - {\\text{t}}}}$$ D. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{\\text{G}}}$$","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-the-height-of-the-hydraulic-gradient-line-above-the-floor-of-thickness-t-is-h-and-the-specific-gravity-of-the-material-of-the-floor-is-g-the-minimum-thickness-t-of-the-floor-downstream-of-the-cres\/","og_locale":"en_US","og_type":"article","og_title":"If the height of the hydraulic gradient line above the floor of thickness t is h and the specific gravity of the material of the floor is G, the minimum thickness t of the floor downstream of the crest-wall, is given by the equation A. $${\\text{t}} = \\frac{{{\\text{h}} + 1}}{{{\\text{G}} + {\\text{t}}}}$$ B. $${\\text{t}} = \\frac{{{\\text{h}} - 1}}{{{\\text{G}} + {\\text{t}}}}$$ C. $${\\text{t}} = \\frac{{{\\text{h}} - 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