{"id":88726,"date":"2025-06-01T07:19:06","date_gmt":"2025-06-01T07:19:06","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88726"},"modified":"2025-06-01T07:19:06","modified_gmt":"2025-06-01T07:19:06","slug":"the-refractive-index-of-fused-quartz-is-1-46-and-that-of-sapphire-is-1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-refractive-index-of-fused-quartz-is-1-46-and-that-of-sapphire-is-1\/","title":{"rendered":"The refractive index of fused quartz is 1.46 and that of sapphire is 1"},"content":{"rendered":"

The refractive index of fused quartz is 1.46 and that of sapphire is 1.77. If vq<\/sub> is the speed of light in quartz and vs<\/sub> is the speed of light in sapphire, then which one of the following relations is correct ?<\/p>\n

[amp_mcq option1=”vq<\/sub> > vs<\/sub>” option2=”vs<\/sub> > vq<\/sub>” option3=”vs<\/sub> = vq<\/sub>” option4=”vs<\/sub> = vq<\/sub> \/ 2″ correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2020<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe relation vq<\/sub> > vs<\/sub> is correct.
\n<\/section>\n
\nThe refractive index (n) of a medium is inversely proportional to the speed of light (v) in that medium, according to the formula n = c\/v, where c is the speed of light in a vacuum. Therefore, v = c\/n. A higher refractive index means a lower speed of light, and a lower refractive index means a higher speed of light.
\n<\/section>\n
\nGiven nq<\/sub> = 1.46 and ns<\/sub> = 1.77. Since ns<\/sub> > nq<\/sub>, it follows that vs<\/sub> = c\/ns<\/sub> must be less than vq<\/sub> = c\/nq<\/sub>. Hence, vq<\/sub> > vs<\/sub>. The speed of light is slower in sapphire than in fused quartz because sapphire has a higher refractive index.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The refractive index of fused quartz is 1.46 and that of sapphire is 1.77. If vq is the speed of light in quartz and vs is the speed of light in sapphire, then which one of the following relations is correct ? [amp_mcq option1=”vq > vs” option2=”vs > vq” option3=”vs = vq” option4=”vs = vq … <\/p>\n

Detailed SolutionThe refractive index of fused quartz is 1.46 and that of sapphire is 1<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1094],"tags":[1288,1153,1128],"class_list":["post-88726","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1288","tag-optics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe refractive index of fused quartz is 1.46 and that of sapphire is 1<\/title>\n<meta name=\"description\" content=\"The relation vq > vs is correct. The refractive index (n) of a medium is inversely proportional to the speed of light (v) in that medium, according to the formula n = c\/v, where c is the speed of light in a vacuum. Therefore, v = c\/n. A higher refractive index means a lower speed of light, and a lower refractive index means a higher speed of light.\" \/>\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-refractive-index-of-fused-quartz-is-1-46-and-that-of-sapphire-is-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The refractive index of fused quartz is 1.46 and that of sapphire is 1\" \/>\n<meta property=\"og:description\" content=\"The relation vq > vs is correct. The refractive index (n) of a medium is inversely proportional to the speed of light (v) in that medium, according to the formula n = c\/v, where c is the speed of light in a vacuum. Therefore, v = c\/n. A higher refractive index means a lower speed of light, and a lower refractive index means a higher speed of light.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-refractive-index-of-fused-quartz-is-1-46-and-that-of-sapphire-is-1\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:19:06+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 refractive index of fused quartz is 1.46 and that of sapphire is 1","description":"The relation vq > vs is correct. 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