{"id":7650,"date":"2024-04-15T02:48:19","date_gmt":"2024-04-15T02:48:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7650"},"modified":"2024-04-15T02:48:19","modified_gmt":"2024-04-15T02:48:19","slug":"a-cylindrical-ejector-having-its-height-2-m-fills-after-every-10-minutes-with-a-peak-sewage-discharge-of-0-0157-cumec-the-diameter-of-the-ejector-chamber-is-a-2-30-m-b-2-40-m-c-2-45-m-d-2-50-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-ejector-having-its-height-2-m-fills-after-every-10-minutes-with-a-peak-sewage-discharge-of-0-0157-cumec-the-diameter-of-the-ejector-chamber-is-a-2-30-m-b-2-40-m-c-2-45-m-d-2-50-m\/","title":{"rendered":"A cylindrical ejector having its height 2 m fills after every 10 minutes with a peak sewage discharge of 0.0157 cumec. The diameter of the ejector chamber, is A. 2.30 m B. 2.40 m C. 2.45 m D. 2.50 m"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;2.30 m&#8221; option2=&#8221;2.40 m&#8221; option3=&#8221;2.45 m&#8221; option4=&#8221;2.50 m&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 2.40 m}}$.<\/p>\n<p>The volume of the ejector chamber is given by<\/p>\n<p>$$V = \\pi r^2 h$$<\/p>\n<p>where $r$ is the radius of the chamber and $h$ is the height of the chamber. The peak sewage discharge is given by<\/p>\n<p>$$Q = \\frac{V}{t}$$<\/p>\n<p>where $t$ is the time between discharges. Substituting the expression for $V$ into the expression for $Q$, we get<\/p>\n<p>$$Q = \\frac{\\pi r^2 h}{t}$$<\/p>\n<p>We are given that $h = 2 \\text{ m}$ and $t = 10 \\text{ min} = 600 \\text{ s}$. We are also given that $Q = 0.0157 \\text{ cumec} = 157 \\text{ m}^3\/\\text{s}$. Substituting these values into the expression for $Q$, we get<\/p>\n<p>$$157 \\text{ m}^3\/\\text{s} = \\frac{\\pi r^2 (2 \\text{ m})}{600 \\text{ s}}$$<\/p>\n<p>Solving for $r$, we get<\/p>\n<p>$$r = \\sqrt{\\frac{157 \\text{ m}^3\/\\text{s} \\times 600 \\text{ s}}{\\pi (2 \\text{ m})^2}} = 2.40 \\text{ m}$$<\/p>\n<p>Therefore, the diameter of the ejector chamber is $\\boxed{\\text{2.40 m}}$.<\/p>\n<p>The other options are incorrect because they do not result in a diameter that is consistent with the given information.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;2.30 m&#8221; option2=&#8221;2.40 m&#8221; option3=&#8221;2.45 m&#8221; option4=&#8221;2.50 m&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[650],"tags":[],"class_list":["post-7650","post","type-post","status-publish","format-standard","hentry","category-waste-water-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>A cylindrical ejector having its height 2 m fills after every 10 minutes with a peak sewage discharge of 0.0157 cumec. The diameter of the ejector chamber, is A. 2.30 m B. 2.40 m C. 2.45 m D. 2.50 m<\/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\/a-cylindrical-ejector-having-its-height-2-m-fills-after-every-10-minutes-with-a-peak-sewage-discharge-of-0-0157-cumec-the-diameter-of-the-ejector-chamber-is-a-2-30-m-b-2-40-m-c-2-45-m-d-2-50-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A cylindrical ejector having its height 2 m fills after every 10 minutes with a peak sewage discharge of 0.0157 cumec. 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The diameter of the ejector chamber, is A. 2.30 m B. 2.40 m C. 2.45 m D. 2.50 m","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\/a-cylindrical-ejector-having-its-height-2-m-fills-after-every-10-minutes-with-a-peak-sewage-discharge-of-0-0157-cumec-the-diameter-of-the-ejector-chamber-is-a-2-30-m-b-2-40-m-c-2-45-m-d-2-50-m\/","og_locale":"en_US","og_type":"article","og_title":"A cylindrical ejector having its height 2 m fills after every 10 minutes with a peak sewage discharge of 0.0157 cumec. 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