{"id":207118,"date":"2025-04-18T10:43:11","date_gmt":"2025-04-18T10:43:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=207118"},"modified":"2025-04-18T10:47:14","modified_gmt":"2025-04-18T10:47:14","slug":"give-the-necessary-conditions-for-total-internal-reflection","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/18\/give-the-necessary-conditions-for-total-internal-reflection\/","title":{"rendered":"Give the necessary conditions for total internal reflection"},"content":{"rendered":"\n<p>Give the necessary conditions for total internal reflection.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p>Total internal reflection occurs when <strong>both<\/strong> of the following conditions are met:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Light travels from a denser medium to a rarer medium<\/strong> (i.e., from a medium with a higher refractive index to one with a lower refractive index).<\/li>\n\n\n\n<li><strong>The angle of incidence is greater than the critical angle<\/strong> for the pair of media involved.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (Around 300 Words):<\/strong><\/h3>\n\n\n\n<p><strong>Total internal reflection (TIR)<\/strong> is an optical phenomenon that occurs when a light ray traveling within a medium (like water or glass) reflects entirely back into the same medium instead of refracting into the second medium. For this to happen, two critical conditions must be satisfied:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1. From Denser to Rarer Medium:<\/strong><\/h4>\n\n\n\n<p>The light must move from a medium with a higher refractive index (denser) to one with a lower refractive index (rarer). For example, light traveling from water (n \u2248 1.33) into air (n \u2248 1.00) or from glass into air.<\/p>\n\n\n\n<p>This direction is important because only in this configuration can a critical angle exist. If the light is moving from a rarer to a denser medium (e.g., air to water), total internal reflection <strong>cannot<\/strong> occur, regardless of the angle.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>2. Angle of Incidence Greater than Critical Angle:<\/strong><\/h4>\n\n\n\n<p>The <strong>critical angle<\/strong> is the angle of incidence at which the refracted ray just grazes along the boundary, making an angle of 90\u00b0 with the normal. It is given by:<\/p>\n\n\n\n<p>[<br>\\theta_c = \\sin^{-1}\\left(\\frac{n_2}{n_1}\\right)<br>]<\/p>\n\n\n\n<p>Where ( n_1 ) is the refractive index of the denser medium, and ( n_2 ) is that of the rarer medium.<\/p>\n\n\n\n<p>If the angle of incidence exceeds this critical angle, the refracted ray <strong>no longer exists<\/strong>; instead, all the light reflects back into the denser medium \u2014 this is total internal reflection.<\/p>\n\n\n\n<p>TIR is the principle behind technologies like <strong>optical fibers<\/strong>, <strong>prisms<\/strong>, and even <strong>sparkling effects in diamonds<\/strong>, where light is trapped and guided by repeated internal reflections.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/04\/image-160.png\" alt=\"\" class=\"wp-image-207121\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Give the necessary conditions for total internal reflection. The correct answer and explanation is : Correct Answer: Total internal reflection occurs when both of the following conditions are met: Explanation (Around 300 Words): Total internal reflection (TIR) is an optical phenomenon that occurs when a light ray traveling within a medium (like water or glass) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-207118","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=207118"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207118\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}