{"id":569246,"date":"2023-05-29T13:33:27","date_gmt":"2023-05-29T08:03:27","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=569246"},"modified":"2023-06-16T12:30:13","modified_gmt":"2023-06-16T07:00:13","slug":"refractive-index-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/","title":{"rendered":"Refractive Index Formula\u00a0"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#What_is_the_Refractive_index_of_a_medium\" title=\"What is the Refractive index of a medium?\">What is the Refractive index of a medium?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#The_absolute_refractive_indices_of_some_materials_are_as_follows\" title=\"The absolute refractive indices of some materials are as follows\">The absolute refractive indices of some materials are as follows<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#Solved_Examples_on_Refractive_Index_formula\" title=\"Solved Examples on Refractive Index formula\">Solved Examples on Refractive Index formula<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#Frequently_Asked_Questions_on_Refractive_Index_Formula\" title=\"Frequently Asked Questions on Refractive Index Formula\">Frequently Asked Questions on Refractive Index Formula<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#What_is_the_refractive_index\" title=\"What is the refractive index? \">What is the refractive index? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#What_is_the_formula_for_refractive_index\" title=\"What is the formula for refractive index? \">What is the formula for refractive index? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#What_does_a_higher_refractive_index_indicate\" title=\"What does a higher refractive index indicate? \">What does a higher refractive index indicate? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#How_does_refractive_index_affect_the_direction_of_light\" title=\"How does refractive index affect the direction of light? \">How does refractive index affect the direction of light? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/refractive-index-formula\/#What_factors_can_affect_the_refractive_index_of_a_material\" title=\"What factors can affect the refractive index of a material? \">What factors can affect the refractive index of a material? <\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Refractive_index_of_a_medium\"><\/span>What is the Refractive index of a medium?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\"> Light bends while traveling from one medium to another due to a change in its speed. This is known as the refraction of light.<\/span><\/li>\n<li><span data-contrast=\"auto\"> When a ray of light travels from an optically denser medium to an optically rarer medium, its speed increases, and the ray of light moves away from the normal.<\/span><\/li>\n<li><span data-contrast=\"auto\"> When a ray of light travels from an optically rarer medium to an optically denser <\/span><br \/>\n<span data-contrast=\"auto\">medium, its speed decreases, and the ray of light moves toward the normal.<\/span><\/li>\n<li><span data-contrast=\"auto\"> The Refractive index of a refractive medium with respect to an incident medium is defined as the ratio of the speed of light in an incident medium to the speed of light in a refractive medium.<\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">For example, if medium 1 is the incident medium and medium 2 is the refractive medium, then the refractive index of medium 2 with respect to medium 1 is denoted by n<\/span><span data-contrast=\"auto\">21<\/span><span data-contrast=\"auto\">.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559737&quot;:72,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">It is given by: <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:360,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559685&quot;:360,&quot;335559740&quot;:360}\"><img loading=\"lazy\" class=\"alignnone wp-image-569333 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-13.33.05.png\" alt=\"Refractive Index Formula\" width=\"986\" height=\"242\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-13.33.05.png?v=1685347391 986w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-13.33.05-300x74.png?v=1685347391 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-13.33.05-768x188.png?v=1685347391 768w\" sizes=\"(max-width: 986px) 100vw, 986px\" \/> <\/span><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center;\" colspan=\"2\"><strong>Also Check<\/strong><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/mass-formula\/\"><strong>Mass Formula<\/strong><\/a><\/td>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/ohms-law-formula\/\"><strong>Ohms Formula<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/pressure-formula\/\"><strong>Pressure Formula<\/strong><\/a><\/td>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/displacement-formula\/\"><strong>Displacement Formula<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div><\/div>\n<div class=\"table-responsive\"><span data-contrast=\"auto\">The Refractive index of a medium tells the extent to which the refractive medium changes the speed of light and hence its direction.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:360,&quot;335559737&quot;:720,&quot;335559740&quot;:360}\"> <\/span><\/div>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">When the refractive index of medium 2 with respect to medium 1 is greater than 1, it means that the speed of light in medium 2 is less than that in medium 1. Thus, the light will bend towards the normal.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:72,&quot;335559740&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">When the refractive index of medium 2 with respect to medium 1 is lesser than 1, it means that the speed of light in medium 1 is less than that in medium 2. Thus, the light will bend away from the normal.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:288,&quot;335559740&quot;:360,&quot;469777462&quot;:[138,504],&quot;469777927&quot;:[0,0],&quot;469777928&quot;:[6,6]}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">The ratio of the speed of light in a vacuum to that in any medium is the refractive index of the medium with respect to the vacuum, also known as the absolute refractive index. It is represented by <\/span><span data-contrast=\"auto\">medium<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:288,&quot;335559740&quot;:360,&quot;469777462&quot;:[138,504],&quot;469777927&quot;:[0,0],&quot;469777928&quot;:[6,6]}\"> <\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"The_absolute_refractive_indices_of_some_materials_are_as_follows\"><\/span><span data-contrast=\"auto\">The absolute refractive indices of some materials are as follows<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><strong>Medium material <\/strong><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><strong>Absolute refractive index<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"2\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Air<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.0003<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"3\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Canada balsam<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.53<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"4\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Ice<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.31<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"5\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Water<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.33<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"6\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Rock salt<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.54<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"7\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Alcohol<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.36<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"8\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Kerosene<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.44<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"9\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Carbon disulphate<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.63<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"10\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Fused quartz<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.46<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"11\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Turpentine oil<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.47<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"12\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Benzene<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.50<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"13\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Crown glass<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.52<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"14\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Diamond<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">2.42<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"15\">\n<td style=\"width: 46.0581%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">Dense flint glass<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<td style=\"width: 51.8461%; text-align: center;\" data-celllook=\"4369\"><span data-contrast=\"auto\">1.65<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:276}\"> <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Solved_Examples_on_Refractive_Index_formula\"><\/span>Solved Examples on Refractive Index formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><b><span data-contrast=\"auto\">Example 1: <\/span><\/b><span data-contrast=\"auto\">A light ray passes from air into a medium with a refractive index of 1.5. Calculate the angle of refraction if the angle of incidence is 30 degrees.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><strong>Solution: <\/strong><\/p>\n<p><span data-contrast=\"auto\">Given:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Refractive index of the medium (n) = 1.5<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Angle of incidence (i) = 30 degrees<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Using Snell&#8217;s Law, the relationship between the angles of incidence and refraction can be expressed as:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">n1 x sin(i) = n2 x sin(r)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Since the light is passing from air (with a refractive index of approximately 1) to the medium, the equation simplifies to:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">1 x sin(30) = 1.5 x sin(r)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">sin(r) = (1 x sin(30)) \/ 1.5<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">sin(r) = 0.5<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">To find the angle of refraction, we take the inverse sine sin<\/span><span data-contrast=\"auto\">-1<\/span><span data-contrast=\"auto\"> of 0.5:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">r = sin<\/span><span data-contrast=\"auto\">-1<\/span><span data-contrast=\"auto\">0.5<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">r \u2248 30 degrees<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Therefore, the angle of refraction is approximately 30 degrees.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Example 2:<\/span><\/b><span data-contrast=\"auto\"> A light ray travels from water (refractive index = 1.33) into a medium with an unknown refractive index. If the angle of incidence is 45 degrees and the angle of refraction is 30 degrees, calculate the refractive index of the unknown medium.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><strong>Solution: <\/strong><\/p>\n<p><span data-contrast=\"auto\">Given:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Refractive index of water (n1) = 1.33<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Angle of incidence (i) = 45 degrees<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Angle of refraction (r) = 30 degrees<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Using Snell&#8217;s Law:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">n1 x sin(i) = n2 x sin(r)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Plugging in the values:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">1.33 x sin(45) = n2 x sin(30)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">n2 = (1.33 x sin(45)) \/ sin(30)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">n2 \u2248 1.92<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Therefore, the refractive index of the unknown medium is approximately 1.92.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Refractive_Index_Formula\"><\/span>Frequently Asked Questions on Refractive Index Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_refractive_index\"><\/span>What is the refractive index? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe refractive index is a dimensionless quantity that measures how much a material can change the speed of light as it passes through it. It is the ratio of the speed of light in a vacuum to the speed of light in the material. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_refractive_index\"><\/span>What is the formula for refractive index? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula for refractive index (n) is given by:  n = c \/ v  Where:  n is the refractive index, c is the speed of light in a vacuum (approximately 3.00 \u00d7 108 meters per second), v is the speed of light in the medium.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_does_a_higher_refractive_index_indicate\"><\/span>What does a higher refractive index indicate? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA higher refractive index indicates that light travels slower in the medium. It means that the medium has a stronger ability to bend or refract light compared to a medium with a lower refractive index.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_does_refractive_index_affect_the_direction_of_light\"><\/span>How does refractive index affect the direction of light? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tWhen light passes from one medium to another with a different refractive index, it changes its direction. This phenomenon is called refraction. The amount and direction of the change in direction depend on the refractive indices of the two media. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_factors_can_affect_the_refractive_index_of_a_material\"><\/span>What factors can affect the refractive index of a material? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe refractive index of a material can be affected by factors such as temperature, pressure, and the wavelength of light. In some materials, the refractive index can also depend on the polarization of the light. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the refractive index? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The refractive index is a dimensionless quantity that measures how much a material can change the speed of light as it passes through it. It is the ratio of the speed of light in a vacuum to the speed of light in the material.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the formula for refractive index? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula for refractive index (n) is given by:  n = c \/ v  Where:  n is the refractive index, c is the speed of light in a vacuum (approximately 3.00 \u00d7 108 meters per second), v is the speed of light in the medium.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What does a higher refractive index indicate? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A higher refractive index indicates that light travels slower in the medium. It means that the medium has a stronger ability to bend or refract light compared to a medium with a lower refractive index.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How does refractive index affect the direction of light? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"When light passes from one medium to another with a different refractive index, it changes its direction. This phenomenon is called refraction. The amount and direction of the change in direction depend on the refractive indices of the two media.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What factors can affect the refractive index of a material? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The refractive index of a material can be affected by factors such as temperature, pressure, and the wavelength of light. In some materials, the refractive index can also depend on the polarization of the light.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is the Refractive index of a medium? Light bends while traveling from one medium to another due to a [&hellip;]<\/p>\n","protected":false},"author":43,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"Refractive Index Formula\u00a0- Definition, Solved Examples & FAQs | Infinity Learn","_yoast_wpseo_metadesc":"Light bends while traveling from one medium to another due to a change in its speed. This is known as the refraction of light.","custom_permalink":""},"categories":[4],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Refractive Index Formula\u00a0- Definition, Solved Examples &amp; FAQs | Infinity Learn<\/title>\n<meta name=\"description\" content=\"Light bends while traveling from one medium to another due to a change in its speed. 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