{"id":89058,"date":"2025-06-01T07:28:34","date_gmt":"2025-06-01T07:28:34","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89058"},"modified":"2025-06-01T07:28:34","modified_gmt":"2025-06-01T07:28:34","slug":"a-point-object-is-placed-at-the-centre-of-curvature-of-a-spherical-con","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-point-object-is-placed-at-the-centre-of-curvature-of-a-spherical-con\/","title":{"rendered":"A point object is placed at the centre of curvature of a spherical con"},"content":{"rendered":"

A point object is placed at the centre of curvature of a spherical concave mirror. Which one among the following would be the correct location of image formed ?<\/p>\n

[amp_mcq option1=”At infinity” option2=”At the centre of curvature” option3=”At the focal point” option4=”Between the focal point and the centre of curvature” correct=”option2″]<\/p>\n

\n
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This question was previously asked in<\/div>\n
UPSC NDA-2 – 2024<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nFor a spherical concave mirror, when an object is placed at the centre of curvature (C), the image formed is also located at the centre of curvature (C).
\n<\/section>\n
\nWhen the object is at the centre of curvature of a concave mirror, the image formed is real, inverted, and has the same size as the object. Ray diagrams show that rays from the object passing through the focal point become parallel after reflection, and rays hitting the mirror perpendicularly pass through the centre of curvature after reflection. These reflected rays intersect at the centre of curvature.
\n<\/section>\n
\nThe relationship between object distance (u), image distance (v), and focal length (f) for a spherical mirror is given by the mirror formula: 1\/f = 1\/u + 1\/v. For a concave mirror, f is positive. The centre of curvature (C) is located at a distance 2f from the pole of the mirror. If u = 2f (object at C), then 1\/f = 1\/(2f) + 1\/v. Solving for 1\/v gives 1\/v = 1\/f – 1\/(2f) = 2\/(2f) – 1\/(2f) = 1\/(2f). Thus, v = 2f, meaning the image is also formed at the centre of curvature.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A point object is placed at the centre of curvature of a spherical concave mirror. Which one among the following would be the correct location of image formed ? [amp_mcq option1=”At infinity” option2=”At the centre of curvature” option3=”At the focal point” option4=”Between the focal point and the centre of curvature” correct=”option2″] This question was previously … <\/p>\n

Detailed SolutionA point object is placed at the centre of curvature of a spherical con<\/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":[1103,1153,1128],"class_list":["post-89058","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1103","tag-optics","tag-physics","no-featured-image-padding"],"yoast_head":"\nA point object is placed at the centre of curvature of a spherical con<\/title>\n<meta name=\"description\" content=\"For a spherical concave mirror, when an object is placed at the centre of curvature (C), the image formed is also located at the centre of curvature (C). When the object is at the centre of curvature of a concave mirror, the image formed is real, inverted, and has the same size as the object. Ray diagrams show that rays from the object passing through the focal point become parallel after reflection, and rays hitting the mirror perpendicularly pass through the centre of curvature after reflection. These reflected rays intersect at the centre of curvature.\" \/>\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-point-object-is-placed-at-the-centre-of-curvature-of-a-spherical-con\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A point object is placed at the centre of curvature of a spherical con\" \/>\n<meta property=\"og:description\" content=\"For a spherical concave mirror, when an object is placed at the centre of curvature (C), the image formed is also located at the centre of curvature (C). When the object is at the centre of curvature of a concave mirror, the image formed is real, inverted, and has the same size as the object. Ray diagrams show that rays from the object passing through the focal point become parallel after reflection, and rays hitting the mirror perpendicularly pass through the centre of curvature after reflection. 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