{"id":44263,"date":"2024-04-15T21:41:16","date_gmt":"2024-04-15T21:41:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=44263"},"modified":"2024-04-15T21:41:16","modified_gmt":"2024-04-15T21:41:16","slug":"the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/","title":{"rendered":"The index profile of a core of multimode graded index fiber is given by?"},"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_6a97a23825311\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    &#8221;$$Nleft(                <\/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    ^{\\frac{1}{2}}};r < a$$\" option2=\"$$N\\left( r \\right) = n1{\\left[ {3 - 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r < a$$\" option3=\"$$N\\left( r \\right) = n1{\\left[ {5 - 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r > a$$&#8221; option4=&#8221;$$N\\left( r \\right) = n1{\\left[ {1 &#8211; 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r < a$$\" correct=\"option1\"]<!--more--><\/p>\n<p>The correct answer is:<\/p>\n<p>$$N\\left( r \\right) = n1{\\left[ {1 &#8211; 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r &lt; a$$<\/p>\n<p>This is the equation for a graded index fiber, where $n_1$ is the refractive index of the core, $\\Delta$ is the refractive index difference between the core <div class=\"youtube-subscribe-container\">\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>   <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            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> and cladding, and $a$ is the core radius. The equation shows that the refractive index decreases radially from the center of the core to the cladding. This graded index profile helps to reduce modal dispersion, which is a type of distortion that occurs in multimode fibers.<\/p>\n<p>Option A is incorrect because it does not include the factor of $\\Delta$, which is the refractive index difference between the core and cladding. Option B is incorrect because it does not include the factor of $r^2$, which is the square of the radial distance from the center of the core. Option C is incorrect because it does not include the condition $r &lt; a$, which specifies that the equation applies only to the core of the fiber.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>^{\\frac{1}{2}}};r < a$$\" option2=\"$$N\\left( r \\right) = n1{\\left[ {3 - 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r < a$$\" option3=\"$$N\\left( r \\right) = n1{\\left[ {5 - 2\\Delta {{\\left( Join Our Telegram Channel Subscribe on YouTube {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r > a$$&#8221; option4=&#8221;$$N\\left( r \\right) = n1{\\left[ {1 &#8211; 2\\Delta {{\\left( {\\frac{{{r^2}}}{a}} \\right)}^2}} \\right]^{\\frac{1}{2}}};r < a$$\" correct=\"option1\"]\n<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[684],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The index profile of a core of multimode graded index fiber is given by?<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The index profile of a core of multimode graded index fiber is given by?\" \/>\n<meta property=\"og:description\" content=\"^{frac{1}{2}}};r &lt; a$$&quot; option2=&quot;$$Nleft( r right) = n1{left[ {3 - 2Delta {{left( {frac{{{r^2}}}{a}} right)}^2}} right]^{frac{1}{2}}};r &lt; a$$&quot; option3=&quot;$$Nleft( r right) = n1{left[ {5 - 2Delta {{left( {frac{{{r^2}}}{a}} Subscribe on YouTube right)}^2}} right]^{frac{1}{2}}};r &gt; a$$&#8221; option4=&#8221;$$Nleft( r right) = n1{left[ {1 &#8211; 2Delta {{left( {frac{{{r^2}}}{a}} right)}^2}} right]^{frac{1}{2}}};r &lt; a$$&quot; correct=&quot;option1&quot;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:41:16+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":"The index profile of a core of multimode graded index fiber is given by?","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-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/","og_locale":"en_US","og_type":"article","og_title":"The index profile of a core of multimode graded index fiber is given by?","og_description":"^{frac{1}{2}}};r < a$$\" option2=\"$$Nleft( r right) = n1{left[ {3 - 2Delta {{left( {frac{{{r^2}}}{a}} right)}^2}} right]^{frac{1}{2}}};r < a$$\" option3=\"$$Nleft( r right) = n1{left[ {5 - 2Delta {{left( {frac{{{r^2}}}{a}} Subscribe on YouTube right)}^2}} right]^{frac{1}{2}}};r > a$$&#8221; option4=&#8221;$$Nleft( r right) = n1{left[ {1 &#8211; 2Delta {{left( {frac{{{r^2}}}{a}} right)}^2}} right]^{frac{1}{2}}};r < a$$\" correct=\"option1\"]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:41:16+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\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/","name":"The index profile of a core of multimode graded index fiber is given by?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T21:41:16+00:00","dateModified":"2024-04-15T21:41:16+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-index-profile-of-a-core-of-multimode-graded-index-fiber-is-given-by\/#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":"Electronics and communications engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/electronics-and-communications-engineering\/"},{"@type":"ListItem","position":4,"name":"Optical communication","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/electronics-and-communications-engineering\/optical-communication\/"},{"@type":"ListItem","position":5,"name":"The index profile of a core of multimode graded index fiber is given by?"}]},{"@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\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?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\/44263"}],"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=44263"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/44263\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=44263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=44263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=44263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}