{"id":4227,"date":"2018-09-04T14:49:32","date_gmt":"2018-09-04T21:49:32","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=4227"},"modified":"2023-08-05T12:01:59","modified_gmt":"2023-08-05T12:01:59","slug":"properties-of-image-formed-by-convex-mirror","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/properties-of-image-formed-by-convex-mirror.htm","title":{"rendered":"Properties of image formed by convex mirror","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Article about Properties of image formed by convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u><b>The object distance is smaller than the focal length of the convex mirror (do &lt; f)<\/b><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Based on the calculation of <u><a href=\"https:\/\/gurumuda.net\/physics\/image-formation-by-the-convex-mirror.htm\" rel=\"noopener\">the image formation by the convex mirror<\/a>,<\/u> can be concluded that if the object distance (do) is smaller than the focal length (f), the properties of the image are:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Virtual means the beam of light does not pass through the image because the image is behind the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Upright<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">&#8211; The farther the object is from the convex mirror, the smaller the image size<!--more--><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The farther the object is from the convex mirror, the smaller the image from the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u><b>The object distance is the same as the focal length of the convex mirror (do = f)<\/b><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Based on the calculation of <u>the image formation by the convex mirror<\/u>, can be concluded that if the object distance is equal to the focal length of the mirror, the properties of the image are:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Virtual means the beam of light does not pass through the image because the image is behind the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Upright<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Minimized (Image size = \u00bd times the object size)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The image distance is smaller than the object distance (the image distance = \u00bd times the object distance)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u><b>The object distance is greater than the focal length and is smaller than the radius of curvature of the convex mirror (f &lt; do &lt; R)<\/b><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Based on the calculation of <u>the image formation by the convex mirror<\/u>, can be concluded that if the object is between the focal point and the radius of the curvature, the properties of the image are:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Virtual means the beam of light does not pass through the image because the image is behind the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Upright<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The image size is smaller than the object size<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The farther the object is from the convex mirror, the farther the image from the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u><b>The object distance is equal to the radius of curvature of the convex mirror (do = R)<\/b><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Based on the calculation of <u>the image formation by the convex mirror<\/u>, can be concluded that if the object distance is the same as the radius of the curvature, the properties of the image are:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Virtual means the beam of light does not pass through the image because the image is behind the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Upright<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Minimized (the image size = 1\/3 times the object size)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The image distance is smaller than the object distance (The image distance = 1\/3 times the object distance)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u><b>The object distance is greater than the radius of curvature of the convex mirror (do &gt; R)<\/b><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Based on the calculation of <u>the image formation by the convex mirror<\/u>, can be concluded that if the object distance is larger than the radius of the curvature of the mirror, the properties of the image are:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Virtual means the beam of light does not pass through the image because the image is behind the convex mirror<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; Upright<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The image size is smaller than the object size<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">&#8211; The image distance is smaller than the object distance (the image is closer to the mirror, the object is farther from the mirror)<\/span><\/p>\n<ol style=\"text-align: justify;\">\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What type of image is formed by a convex mirror?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Convex mirrors always form a virtual, diminished, and erect image.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does the position of an object influence the position of the image in a convex mirror?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">No matter where the object is located, the image formed by a convex mirror is always located between the mirror and the focus.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why are the images formed by convex mirrors diminished?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The images are diminished because the light rays diverge upon reflection. As a result, they appear to come from a point that is closer to the mirror than the actual object, causing the image to appear smaller than the object.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does the magnification &#8216;m&#8217; of a convex mirror relate to the image and object distances?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The magnification of a convex mirror is given by the ratio of the image height to the object height, which also equals the ratio of image distance &#8216;v&#8217; to object distance &#8216;u&#8217;. For a convex mirror, &#8216;m&#8217; equals -v\/u.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is the significance of the negative sign in the magnification formula for convex mirrors?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The negative sign indicates that the image is virtual and erect, as images formed by convex mirrors are always virtual and erect.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How is the focal length &#8216;f&#8217; of a convex mirror related to the radius of curvature &#8216;R&#8217;?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The focal length of a convex mirror is half the radius of curvature, so &#8216;f&#8217; equals R\/2. For a convex mirror, the focal length is taken as negative, signifying that the focus is virtual.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Is the object distance &#8216;u&#8217; positive or negative for a convex mirror?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">For a convex mirror, the object distance &#8216;u&#8217; is taken as negative. This convention arises from the fact that the object is always placed in front of the mirror.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is the mirror equation for a convex mirror and how is it derived?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The mirror equation is 1\/v + 1\/u = 1\/f. It is derived from the geometry of spherical mirrors, considering the relationships between object distance, image distance, and focal length.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What happens to the image formed by a convex mirror as the object approaches the mirror?<\/strong><\/span>\n<p><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">As the object approaches the mirror, the image also gets closer to the mirror, but it always remains smaller than the object and stays between the pole and the focus.<\/span><\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why are convex mirrors often used for rear-view mirrors in vehicles?<\/strong><\/span><\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Convex mirrors are often used as rear-view mirrors because they form a diminished image, providing a wider field of view. This allows the driver to see more of the environment behind the vehicle, enhancing safety.<\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Article about Properties of image formed by convex mirror The object distance is smaller than the focal length of the convex mirror (do &lt; f) Based on the calculation of the image formation by the convex mirror, can be concluded that if the object distance (do) is smaller than the focal length (f), the properties &#8230; <a title=\"Properties of image formed by convex mirror\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/properties-of-image-formed-by-convex-mirror.htm\" aria-label=\"Read more about Properties of image formed by convex 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":"Properties of image formed by convex 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-4227","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\/4227","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=4227"}],"version-history":[{"count":2,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/4227\/revisions"}],"predecessor-version":[{"id":8456,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/4227\/revisions\/8456"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=4227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=4227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=4227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}