{"id":4141,"date":"2018-08-30T18:07:49","date_gmt":"2018-08-31T01:07:49","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=4141"},"modified":"2023-08-05T12:13:33","modified_gmt":"2023-08-05T12:13:33","slug":"ray-diagrams-for-concave-mirror","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/ray-diagrams-for-concave-mirror.htm","title":{"rendered":"Ray diagrams for concave mirror","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p align=\"justify\">Article about Ray diagrams for concave mirror<\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">If an object is in front of a concave mirror that reflecting light, the concave mirror will form the image of the object. If the position of the object in front of the concave mirror is known, how to draw the image formation of the object? To clarify this, suppose an object is in front of a <\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>concave mirror,<\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"> as shown below.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-4149\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-1.png\" alt=\"Ray diagrams for concave mirror 1\" width=\"209\" height=\"88\" \/>Orange line = concave mirror<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">Blue lines = the principal axis<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">Arrow (green) = object<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">R = center of the curvature of the concave mirror<\/span><\/span><!--more--><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">f = focus of the concave mirror<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">Images of objects can be produced by drawing all the beams of light passing through objects, but this is less practical because there will be many lines representing light beams. For simplicity, just a few beams of light are chosen to represent all the beams of light passing through the object. Since this event involves <\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>the reflection of light<\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">, the law of reflection of light must be obeyed when drawing the image formation.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>Ray diagrams<\/b><\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><b>1 :<\/b><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-4142\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-2.png\" alt=\"Ray diagrams for concave mirror 2\" width=\"213\" height=\"85\" \/>Ray 1 or light beam 1 that comes into the concave mirror is drawn parallel to the principal axis and touches the upper end of the object, <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">then reflected by a concave mirror, where the reflected light beam must pass through the focal point (f). The incoming rays and reflected rays that are drawn must fulfill the law of reflection of light, where the angle of incidence equals the angle of reflection.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><b>2 :<\/b><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-4143\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-3.png\" alt=\"Ray diagrams for concave mirror 3\" width=\"217\" height=\"88\" \/>Ray 2 or light beam 2 that comes to the concave mirror is drawn as having to pass through the focal point and touch the upper end of the object <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">then reflected by a concave mirror, where the reflected light beam must be parallel to the principal axis. The incoming rays and reflected rays that are drawn must fulfill the law of reflection of light, where the angle of incidence equals the angle of reflection.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><b>3 :<\/b><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-4144\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-4.png\" alt=\"Ray diagrams for concave mirror 4\" width=\"213\" height=\"86\" \/>Ray 3 or the light beam 3 that comes towards the concave mirror are drawn must pass through the center point of the mirror curvature (R) and <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">touch the upper end of the object, then reflected by a concave mirror, where the reflected ray coincides with the incident ray. The incoming rays and reflected rays that are described must fulfill the law of reflection of light, where the angle of incidence equals the angle of reflection. If the light beam comes to coincide with the reflected beam, the beam of light must be perpendicular (90<\/span><\/span><sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">with the concave mirror surface that passes through the beam of light so that the angle of incidence of 90<\/span><\/span><sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"> is equal to the angle of reflection of 90<\/span><\/span><sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>Image formation <\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>(<\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>two rays<\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>)<\/b><\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">The image formation for an object can be drawn using only two rays, as shown below. If using two rays, there are three possible images formation.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>Ray 1 and ray 2<\/u><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4145\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-5.png\" alt=\"Ray diagrams for concave mirror 5\" width=\"214\" height=\"85\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>Ray 1 and ray 3<\/u><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4146\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-6.png\" alt=\"Ray diagrams for concave mirror 6\" width=\"215\" height=\"85\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>Ray 2 and ray 3<\/u><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4147\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-7.png\" alt=\"Ray diagrams for concave mirror 7\" width=\"213\" height=\"85\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">The image formation for an object drawn using only two rays needs to be adjusted by the distance of the object from the concave mirror. If the distance of the object from the concave mirror as in the figure above, there are three ways to draw an image formation using only two rays. If the distance of the object from the concave mirror is different from the figure above, for example, the object is between the focal point and the center of curvature, then there are only two ways to draw.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">If you draw an image formation by a concave mirror, you can choose one method and not have to use two or three ways.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>Image formation <\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>(<\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>three rays<\/b><\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u><b>)<\/b><\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">The image formation for an object can be drawn using three rays, as shown in figure below.<\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4148 alignleft\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/08\/Ray-diagrams-for-concave-mirror-8.png\" alt=\"Ray diagrams for concave mirror 8\" width=\"216\" height=\"85\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">If the distance of the object from the concave mirror is not like the one above, for example, the object is between the concave mirror and the focal point, <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">or the object is between the focal point and the center of curvature of the concave mirror, then the image formation for an object can be drawn using three ways as shown in the figure above. There can only be two ways to draw the image formation. Please observe the example of the image formation by a concave mirror, where the distance of objects from concave mirrors varies, regarding <\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\"><u>the image formation of the concave mirror<\/u><\/span><\/span><span style=\"font-family: Times New Roman, serif;\"><span style=\"font-size: medium;\">.<\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Article about Ray diagrams for concave mirror If an object is in front of a concave mirror that reflecting light, the concave mirror will form the image of the object. If the position of the object in front of the concave mirror is known, how to draw the image formation of the object? To clarify &#8230; <a title=\"Ray diagrams for concave mirror\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/ray-diagrams-for-concave-mirror.htm\" aria-label=\"Read more about Ray diagrams for concave mirror\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Ray diagrams for concave mirror","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[2],"tags":[],"class_list":["post-4141","post","type-post","status-publish","format-standard","hentry","category-basic-physics-tutorials"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/4141","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=4141"}],"version-history":[{"count":2,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/4141\/revisions"}],"predecessor-version":[{"id":8471,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/4141\/revisions\/8471"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=4141"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=4141"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=4141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}