{"id":7186,"date":"2022-07-16T09:01:34","date_gmt":"2022-07-16T08:01:34","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7186"},"modified":"2024-05-26T19:02:18","modified_gmt":"2024-05-26T18:02:18","slug":"how-to-calculate-and-solve-for-index-of-refraction-optical-properties","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/07\/16\/how-to-calculate-and-solve-for-index-of-refraction-optical-properties\/","title":{"rendered":"How to Calculate and Solve for Index of Refraction | Optical Properties"},"content":{"rendered":"

The index of refraction is illustrated by the image below. To calculate index of refraction, two essential parameters are needed and these parameters are Velocity of Light (C)<\/strong> and Velocity of Light in Medium (v).<\/strong><\/p>\n

\"\"<\/p>\n

The formula for calculating index of refraction:<\/strong><\/h3>\n

n =\u00a0C<\/sup>\/v<\/sub><\/p>\n

Where:<\/p>\n

n = Index of Refraction
\nC = Velocity of Light
\nv = Velocity of Light in Medium<\/p>\n

Given an example;
\nFind the index of refraction when the velocity of light is 48 and the velocity of light in medium is 12.<\/p>\n

This implies that;<\/p>\n

C = Velocity of Light = 48
\nv = Velocity of Light in Medium = 12<\/p>\n

n =\u00a0C<\/sup>\/v<\/sub>
\nThat is, n = 48<\/sup>\/12<\/sub>
\nn = 4<\/p>\n

Therefore, the\u00a0index of refraction\u00a0<\/strong>is\u00a04.<\/strong><\/p>\n

Calculating the Velocity of Light when the Index of Refraction and the Velocity of Light in Medium are Given.<\/strong><\/h3>\n

C = nv<\/p>\n

Where:<\/p>\n

C = Velocity of Light
\nn = Index of Refraction
\nv = Velocity of Light in Medium<\/p>\n

Let’s solve an example;
\nFind the velocity of light when the index of refraction is 10 and the velocity of light in medium is 4.<\/p>\n

This implies that;<\/p>\n

n = Index of Refraction = 10
\nv = Velocity of Light in Medium = 4<\/p>\n

C = nv
\nSo, C = (10)(4)
\nC = 40<\/p>\n

Therefore, the\u00a0velocity of light<\/a>\u00a0<\/strong>is\u00a040.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Velocity of Light in Medium | Optical Properties<\/a><\/p>\n

Calculating the Velocity of Light in Medium when the Index of Refraction and the Velocity of Light are Given<\/strong><\/h3>\n

v = C<\/sup> \/ n<\/sub><\/p>\n

Where:<\/p>\n

v = Velocity of Light in Medium
\nn = Index of Refraction
\nC = Velocity of Light<\/p>\n

Let’s solve an example;
\nFind the velocity of light in medium when the index of refraction is 12 and the velocity of light is 36.<\/p>\n

This implies that;<\/p>\n

n = Index of Refraction = 12
\nC = Velocity of Light = 36<\/p>\n

v = C<\/sup> \/ n<\/sub>
\nThat is, v = 36<\/sup> \/ 12<\/sub>
\nv = 3<\/p>\n

Therefore, the\u00a0velocity of light in medium\u00a0<\/strong>is\u00a03.<\/strong><\/p>\n

How to Calculate the Index of Refraction With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the index of refraction.<\/p>\n

\n

To get the answer and workings of the index of refraction using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Optical Properities<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Index of Refraction<\/strong>\u00a0under\u00a0Optical Properities
\n<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the index of refraction according to the respective parameter which is the Velocity of Light (C)<\/strong> and Velocity of Light in Medium (v).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Velocity of Light (C)\u00a0<\/strong>is\u00a036<\/strong> and Velocity of Light in Medium (v)<\/strong> is 12<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the index of refraction and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The index of refraction is illustrated by the image below. To calculate index of refraction, two essential parameters…","protected":false},"author":5,"featured_media":15724,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[60,2030,543,2023,1674,2029],"class_list":["post-7186","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-index-of-refraction","tag-materials-and-metallurgical","tag-optical-properties","tag-velocity-of-light","tag-velocity-of-light-in-medium","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Index of Refraction | Optical Properties<\/title>\n<meta name=\"description\" content=\"Here are the steps and the formula on How to Calculate Index of Refraction in Optical Properties. 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