{"id":7340,"date":"2024-04-15T02:43:16","date_gmt":"2024-04-15T02:43:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7340"},"modified":"2024-04-15T02:43:16","modified_gmt":"2024-04-15T02:43:16","slug":"if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/","title":{"rendered":"If the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 &#8211; 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 &#8211; {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;1 + 0.9\u00c2\u00b010&#8243; option2=&#8221;1 &#8211; 0.9\u00c2\u00b010&#8243; option3=&#8221;$$\\frac{1}{{1 &#8211; {{0.9}^ \\circ }10}}$$&#8221; option4=&#8221;$$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\frac{1}{{1 &#8211; {{0.9}^ \\circ }10}}}$.<\/p>\n<p>The return period of a flood is the average number of years between floods of a given magnitude or greater. A 10% risk of a flood occurring in the next 10 years means that there is a 10% chance of a flood occurring in any given year. In other words, the flood has a 10% chance of occurring once every 10 years, on average.<\/p>\n<p>The return period can be calculated using the following formula:<\/p>\n<p>$T = \\frac{1}{{1 &#8211; {{p}^ \\circ }r}}$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$T$ is the return period<\/li>\n<li>$p$ is the probability of the event occurring in any given year<\/li>\n<li>$r$ is the number of years<\/li>\n<\/ul>\n<p>In this case, $p = 0.1$ and $r = 10$. Substituting these values into the formula, we get:<\/p>\n<p>$T = \\frac{1}{{1 &#8211; {{0.1}^ \\circ }10}} = \\frac{1}{{1 &#8211; 0.09090909090909091}} = 10.909090909090909$<\/p>\n<p>Therefore, the return period for design is 10.9 years. This means that there is a 10% chance of a flood occurring once every 10.9 years, on average.<\/p>\n<p>Option A is incorrect because it is the probability of the event occurring in any given year, not the return period.<\/p>\n<p>Option B is incorrect because it is the probability of the event not occurring in any given year.<\/p>\n<p>Option C is incorrect because it is the reciprocal of the probability of the event not occurring in any given year.<\/p>\n<p>Option D is incorrect because it is the reciprocal of the probability of the event occurring in any given year.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;1 + 0.9\u00c2\u00b010&#8243; option2=&#8221;1 &#8211; 0.9\u00c2\u00b010&#8243; option3=&#8221;$$\\frac{1}{{1 &#8211; {{0.9}^ \\circ }10}}$$&#8221; option4=&#8221;$$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$&#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-7340","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 the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 - 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 - {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$<\/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-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 - 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 - {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;1 + 0.9\u00c2\u00b010&#8243; option2=&#8221;1 &#8211; 0.9\u00c2\u00b010&#8243; option3=&#8221;$$frac{1}{{1 &#8211; {{0.9}^ circ }10}}$$&#8221; option4=&#8221;$$frac{1}{{1 + {{0.9}^ circ }10}}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:43:16+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 risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 - 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 - {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$","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-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/","og_locale":"en_US","og_type":"article","og_title":"If the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 - 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 - {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$","og_description":"[amp_mcq option1=&#8221;1 + 0.9\u00c2\u00b010&#8243; option2=&#8221;1 &#8211; 0.9\u00c2\u00b010&#8243; option3=&#8221;$$frac{1}{{1 &#8211; {{0.9}^ circ }10}}$$&#8221; option4=&#8221;$$frac{1}{{1 + {{0.9}^ circ }10}}$$&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:43:16+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\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/","name":"If the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 - 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 - {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:43:16+00:00","dateModified":"2024-04-15T02:43:16+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-the-risk-of-a-flood-occurring-in-the-next-10-years-is-accepted-to-10-then-the-return-period-for-design-should-be-a-1-0-9a10-b-1-0-9a10-c-frac11-0-9-circ-10\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Irrigation engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/irrigation-engineering\/"},{"@type":"ListItem","position":5,"name":"If the risk of a flood occurring in the next 10 years is accepted to 10%, then the return period for design should be A. 1 + 0.9\u00c2\u00b010 B. 1 &#8211; 0.9\u00c2\u00b010 C. $$\\frac{1}{{1 &#8211; {{0.9}^ \\circ }10}}$$ D. $$\\frac{1}{{1 + {{0.9}^ \\circ }10}}$$"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/7340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=7340"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/7340\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=7340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=7340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=7340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}