{"id":87364,"date":"2025-06-01T06:41:44","date_gmt":"2025-06-01T06:41:44","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87364"},"modified":"2025-06-01T06:41:44","modified_gmt":"2025-06-01T06:41:44","slug":"an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/","title":{"rendered":"An object is placed at the centre of curvature of a concave mirror of"},"content":{"rendered":"

An object is placed at the centre of curvature of a concave mirror of focal length 16 cm. If the object is shifted by 8 cm towards the focus, the nature of the image would be<\/p>\n

[amp_mcq option1=”real and magnified” option2=”virtual and magnified” option3=”real and reduced” option4=”virtual and reduced” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nA concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size.
\nThe object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u’ = 32 cm – 8 cm = 24 cm.
\nThe object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified.
\n<\/section>\n
\n– Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature).
\n– Object at C: Image at C, real, inverted, same size.
\n– Object between C and F: Image beyond C, real, inverted, magnified.
\n<\/section>\n
\nThe mirror formula is 1\/f = 1\/v + 1\/u. Using f = 16 cm and u = 24 cm, we can calculate the image distance v:
\n1\/16 = 1\/v + 1\/24
\n1\/v = 1\/16 – 1\/24 = (3 – 2)\/48 = 1\/48
\nv = 48 cm.
\nSince v is positive, the image is real and formed in front of the mirror, beyond C (at 32 cm).
\nThe magnification m = -v\/u = -48\/24 = -2.
\nThe negative sign indicates an inverted image, and |m| > 1 indicates a magnified image. Thus, the image is real, inverted, and magnified.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

An object is placed at the centre of curvature of a concave mirror of focal length 16 cm. If the object is shifted by 8 cm towards the focus, the nature of the image would be [amp_mcq option1=”real and magnified” option2=”virtual and magnified” option3=”real and reduced” option4=”virtual and reduced” correct=”option1″] This question was previously asked … <\/p>\n

Detailed SolutionAn object is placed at the centre of curvature of a concave mirror of<\/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":[1093],"tags":[1098,1153,1128],"class_list":["post-87364","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1098","tag-optics","tag-physics","no-featured-image-padding"],"yoast_head":"\nAn object is placed at the centre of curvature of a concave mirror of<\/title>\n<meta name=\"description\" content=\"A concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size. The object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u' = 32 cm - 8 cm = 24 cm. The object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified. - Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature). - Object at C: Image at C, real, inverted, same size. - Object between C and F: Image beyond C, real, inverted, magnified.\" \/>\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\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An object is placed at the centre of curvature of a concave mirror of\" \/>\n<meta property=\"og:description\" content=\"A concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size. The object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u' = 32 cm - 8 cm = 24 cm. The object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified. - Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature). - Object at C: Image at C, real, inverted, same size. - Object between C and F: Image beyond C, real, inverted, magnified.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:41:44+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":"An object is placed at the centre of curvature of a concave mirror of","description":"A concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size. The object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u' = 32 cm - 8 cm = 24 cm. The object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified. - Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature). - Object at C: Image at C, real, inverted, same size. - Object between C and F: Image beyond C, real, inverted, magnified.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/","og_locale":"en_US","og_type":"article","og_title":"An object is placed at the centre of curvature of a concave mirror of","og_description":"A concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size. The object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u' = 32 cm - 8 cm = 24 cm. The object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified. - Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature). - Object at C: Image at C, real, inverted, same size. - Object between C and F: Image beyond C, real, inverted, magnified.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:41:44+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/","url":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/","name":"An object is placed at the centre of curvature of a concave mirror of","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:41:44+00:00","dateModified":"2025-06-01T06:41:44+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"A concave mirror of focal length f = 16 cm has its centre of curvature (C) at a distance 2f = 32 cm from the mirror. Initially, the object is placed at C (u = 32 cm). When the object is at C, the image is formed at C, is real, inverted, and of the same size. The object is shifted by 8 cm towards the focus (which is at 16 cm). The new object distance is u' = 32 cm - 8 cm = 24 cm. The object is now located between the centre of curvature (32 cm) and the focus (16 cm). For a concave mirror, when the object is placed between C and F, the image formed is real, inverted, and magnified. - Concave mirror image formation depends on object position relative to F (focus) and C (centre of curvature). - Object at C: Image at C, real, inverted, same size. - Object between C and F: Image beyond C, real, inverted, magnified.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-object-is-placed-at-the-centre-of-curvature-of-a-concave-mirror-of\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"An object is placed at the centre of curvature of a concave mirror of"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87364","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=87364"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87364\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87364"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87364"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}