{"id":63589,"date":"2023-12-14T17:05:17","date_gmt":"2023-12-14T11:35:17","guid":{"rendered":"https:\/\/pwonlyias.com\/stage\/?post_type=ncert-notes&#038;p=63589"},"modified":"2024-09-26T12:28:45","modified_gmt":"2024-09-26T06:58:45","slug":"image-formation-spherical-mirrors-ray-diagrams","status":"publish","type":"ncert-notes","link":"https:\/\/pwonlyias.com\/stage\/ncert-notes\/image-formation-spherical-mirrors-ray-diagrams","title":{"rendered":"Reflections: Image Formation with Spherical Mirrors through Ray Diagrams"},"content":{"rendered":"<h2><span style=\"font-size: 24pt;\"><b>How is the formation of images by Spherical Mirrors illustrated through Ray Diagrams?<\/b><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Requirement: Image Localization with an Abundance of Emanating Rays: <\/b><span style=\"font-weight: 400;\">To construct the ray diagrams, in order to locate the image of an object using spherical mirrors, an arbitrarily large number of rays emanating from a point could be considered.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-63592\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T164932.151.webp\" alt=\"Image Localization\" width=\"547\" height=\"250\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T164932.151.webp 547w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T164932.151-300x137.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T164932.151-360x165.webp 360w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Dual Rays in Reflection: Mechanics of Image Formation: <\/b><span style=\"font-weight: 400;\">The intersection of at least two reflected rays gives the position of the image of the point object.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Guiding Rays: Image Formation with Spherical Mirrors:<\/b><span style=\"font-weight: 400;\"> Any two of the following rays can be considered for locating the image.<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">(i) A ray parallel to the principal axis, after reflection, will pass through the principal focus in case of a concave mirror or appear to diverge from the principal focus in case of a convex mirror.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">(ii) A ray passing through the principal focus of a concave mirror or a ray which is directed towards the principal focus of a convex mirror, after reflection, will emerge parallel to the principal axis.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165101.003.webp\" alt=\"Spherical Mirrors\" \/><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">(iii) A ray passing through the centre of curvature of a concave mirror or directed in the direction of the centre of curvature of a convex mirror, after reflection, is reflected back along the same path.\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-63594\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165331.142-2.webp\" alt=\"Guiding Rays\" width=\"499\" height=\"235\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165331.142-2.webp 499w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165331.142-2-300x141.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165331.142-2-360x170.webp 360w\" sizes=\"(max-width: 499px) 100vw, 499px\" \/><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"3\"><span style=\"font-weight: 400;\">The light rays come back along the same path because the incident rays fall on the mirror along the normal to the reflecting surface.\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">(iv) A ray incident obliquely to the principal axis, towards a point P (pole of the mirror), on the concave mirror or a convex mirror is reflected obliquely.\u00a0<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"3\"><span style=\"font-weight: 400;\">The incident and reflected rays follow the laws of reflection at the point of incidence (point P), making equal angles with the principal axis.\u00a0<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">In all the above cases the laws of reflection are followed.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">At the point of incidence, the incident ray is reflected in such a way that the angle of reflection equals the angle of incidence.<\/span><\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-63595\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165502.669-1.webp\" alt=\"Guiding Rays\" width=\"528\" height=\"226\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165502.669-1.webp 528w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165502.669-1-300x128.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165502.669-1-360x154.webp 360w\" sizes=\"(max-width: 528px) 100vw, 528px\" \/><\/p>\n<p>\u00a0<\/p>\n<h2><span style=\"font-size: 18pt;\"><b>Mirror Magic: Image Formation with Spherical Mirrors<\/b><\/span><\/h2>\n<p><b>(a) Image formation by Concave Mirror<\/b><\/p>\n<figure id=\"attachment_63596\" aria-describedby=\"caption-attachment-63596\" style=\"width: 661px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-63596\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165846.377.webp\" alt=\"Ray diagrams\" width=\"661\" height=\"577\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165846.377.webp 661w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165846.377-300x262.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165846.377-360x314.webp 360w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><figcaption id=\"caption-attachment-63596\" class=\"wp-caption-text\">Ray diagrams for the image formation by a concave mirror<\/figcaption><\/figure>\n<figure id=\"attachment_63598\" aria-describedby=\"caption-attachment-63598\" style=\"width: 943px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-63598\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165958.990-1.webp\" alt=\"Image formation\" width=\"943\" height=\"313\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165958.990-1.webp 943w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165958.990-1-300x100.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165958.990-1-768x255.webp 768w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T165958.990-1-360x119.webp 360w\" sizes=\"(max-width: 943px) 100vw, 943px\" \/><figcaption id=\"caption-attachment-63598\" class=\"wp-caption-text\">Image formation by a concave mirror for different positions of the object<\/figcaption><\/figure>\n<p><b>(b) Image formation by a Convex Mirror<\/b><\/p>\n<figure id=\"attachment_63600\" aria-describedby=\"caption-attachment-63600\" style=\"width: 817px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-63600\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170213.386.webp\" alt=\"Ray diagram\" width=\"817\" height=\"219\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170213.386.webp 817w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170213.386-300x80.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170213.386-768x206.webp 768w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170213.386-360x96.webp 360w\" sizes=\"(max-width: 817px) 100vw, 817px\" \/><figcaption id=\"caption-attachment-63600\" class=\"wp-caption-text\">Ray diagram for the image formation by a convex mirror<\/figcaption><\/figure>\n<figure id=\"attachment_63601\" aria-describedby=\"caption-attachment-63601\" style=\"width: 844px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-63601\" src=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170342.245.webp\" alt=\"Nature, position and relative size of the image formed by a convex mirror\" width=\"844\" height=\"190\" srcset=\"https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170342.245.webp 844w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170342.245-300x68.webp 300w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170342.245-768x173.webp 768w, https:\/\/pwonlyias.com\/stage\/wp-content\/uploads\/2023\/12\/image-2023-12-14T170342.245-360x81.webp 360w\" sizes=\"(max-width: 844px) 100vw, 844px\" \/><figcaption id=\"caption-attachment-63601\" class=\"wp-caption-text\">Nature, position and relative size of the image formed by a convex mirror<\/figcaption><\/figure>\n","protected":false},"featured_media":0,"parent":0,"template":"","notes-subjects":[4568],"subject-chapters":[4705],"acf":[],"_links":{"self":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/ncert-notes\/63589"}],"collection":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/ncert-notes"}],"about":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/types\/ncert-notes"}],"wp:attachment":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/media?parent=63589"}],"wp:term":[{"taxonomy":"notes-subjects","embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/notes-subjects?post=63589"},{"taxonomy":"subject-chapters","embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/subject-chapters?post=63589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}