{"id":51435,"date":"2024-04-15T23:24:47","date_gmt":"2024-04-15T23:24:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=51435"},"modified":"2024-04-15T23:24:47","modified_gmt":"2024-04-15T23:24:47","slug":"a-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/","title":{"rendered":"A multimode step index fiber has source of RMS spectral width of 60nm and dispersion parameter for fiber is 150psnm-1km-1. Estimate rms pulse broadening due to material dispersion."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;12.5ns km-1&#8243; option2=&#8221;9.6ns km-1&#8243; option3=&#8221;9.0ns km-1&#8243; option4=&#8221;10.2ns km-1&#8243; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 9.6ns km-1}}$.<\/p>\n<p>The rms pulse broadening due to material dispersion is given by:<\/p>\n<p>$$\\Delta \\tau = \\frac{L}{\\nu_0} \\cdot \\frac{D_m}{\\lambda_0^2}$$<\/p>\n<p>where $L$ is the fiber length, $\\nu_0$ is the central frequency of the light, $D_m$ is the material dispersion coefficient, and $\\lambda_0$ is the central wavelength of the light.<\/p>\n<p>In this case, we are given that $L = 1 \\text{ km}$, $\\nu_0 = 299,792,458 \\text{ m s}^{-1}$, $D_m = 150 \\text{ ps nm}^{-1} \\text{ km}^{-1}$, and $\\lambda_0 = 600 \\text{ nm}$. Substituting these values into the equation, we get:<\/p>\n<p>$$\\Delta \\tau = \\frac{1 \\text{ km}} {299,792,458 \\text{ m s}^{-1}} \\cdot \\frac{150 \\text{ ps nm}^{-1} \\text{ km}^{-1}} {600 \\text{ nm}^2} = 9.6 \\text{ ns km}^{-1}$$<\/p>\n<p>Therefore, the rms pulse broadening due to material dispersion is $\\boxed{\\text{9.6ns km-1}}$.<\/p>\n<p>The other options are incorrect because they do not take into account the correct values of the parameters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;12.5ns km-1&#8243; option2=&#8221;9.6ns km-1&#8243; option3=&#8221;9.0ns km-1&#8243; option4=&#8221;10.2ns km-1&#8243; 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":[684],"tags":[],"class_list":["post-51435","post","type-post","status-publish","format-standard","hentry","category-optical-communication","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 multimode step index fiber has source of RMS spectral width of 60nm and dispersion parameter for fiber is 150psnm-1km-1. Estimate rms pulse broadening due to material dispersion.<\/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-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A multimode step index fiber has source of RMS spectral width of 60nm and dispersion parameter for fiber is 150psnm-1km-1. 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Estimate rms pulse broadening due to material dispersion.","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-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/","og_locale":"en_US","og_type":"article","og_title":"A multimode step index fiber has source of RMS spectral width of 60nm and dispersion parameter for fiber is 150psnm-1km-1. Estimate rms pulse broadening due to material dispersion.","og_description":"[amp_mcq option1=&#8221;12.5ns km-1&#8243; option2=&#8221;9.6ns km-1&#8243; option3=&#8221;9.0ns km-1&#8243; option4=&#8221;10.2ns km-1&#8243; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T23:24:47+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\/a-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-multimode-step-index-fiber-has-source-of-rms-spectral-width-of-60nm-and-dispersion-parameter-for-fiber-is-150psnm-1km-1-estimate-rms-pulse-broadening-due-to-material-dispersion\/","name":"A multimode step index fiber has source of RMS spectral width of 60nm and dispersion parameter for fiber is 150psnm-1km-1. 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