{"id":149596,"date":"2022-04-25T10:30:58","date_gmt":"2022-04-25T05:00:58","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?p=149596"},"modified":"2023-04-02T20:26:10","modified_gmt":"2023-04-02T14:56:10","slug":"how-is-an-image-formed-in-a-concave-mirror-concept-note-for-cbse-class-10th-physics","status":"publish","type":"post","link":"https:\/\/www.aakash.ac.in\/blog\/how-is-an-image-formed-in-a-concave-mirror-concept-note-for-cbse-class-10th-physics\/","title":{"rendered":"How is an Image Formed in a Concave Mirror? Concept note for CBSE Class 10th Physics"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">A flat mirror is just a perfectly planar, smooth, mirrored surface. The image created here is not altered in any way. On the other hand, a spherical mirror has a uniform curvature and a constant radius of curvature and can have distorted images.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Depending on which side you place the reflected surface on, spherical mirrors can be convex or concave.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A concave mirror, also known as a converging mirror, is a mirror that is turned inwards in the centre. When a hollow sphere is sliced in a certain half, and the exterior surface of that portion is polished, it becomes a mirror, with the interior surface as the reflecting side. They are known as converging mirrors because the incident light is converged and reflected inwardly due to their shape.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Concave mirrors, unlike flat mirrors, can project real images in front of the mirror at the point where the light focuses. The rule of reflection still applies to concave mirrors, but because the mirror&#8217;s surface is curved, the angle at which light strikes it varies depending on which section of the mirror the light strikes. This allows concave mirrors to concentrate light at a point.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">If you&#8217;re studying this topic for <\/span><a href=\"https:\/\/www.aakash.ac.in\/neet-physics-syllabus\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">NEET<\/span><\/a><span style=\"font-weight: 400;\"> 2022, <\/span><a href=\"https:\/\/www.aakash.ac.in\/jee-main-physics-syllabus\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">JEE Main<\/span><\/a><span style=\"font-weight: 400;\"> 2022, or <\/span><a href=\"https:\/\/aakash.ac.in\/jee-advanced-physics-syllabus\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">JEE Advanced<\/span><\/a><span style=\"font-weight: 400;\"> 2022, look at the syllabus for a quick summary.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To understand more about Concave Mirrors, choose an <\/span><a href=\"https:\/\/www.aakash.ac.in\/our-centres\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Aakash Coaching Institute<\/span><\/a><span style=\"font-weight: 400;\">.<\/span><\/p>\n<table>\n<thead>\n<tr>\n<th><b>Content<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><span style=\"font-weight: 400;\">Concave Mirrors Have the Following Characteristics<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Concave Mirror Image Formation<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Image Formation Table of a Concave Mirror<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Sign Conventions<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mirror Formula<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span style=\"font-weight: 400;\">Concave Mirrors Have the Following Characteristics<\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Can focus Light on a Single Point:<\/b><span style=\"font-weight: 400;\"> Depending on which part of the mirror is illuminated, the angle at which light reaches the curved surface changes. As a result, concave mirrors can concentrate light into a single point.<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Can form both Virtual and Real Images:<\/b><span style=\"font-weight: 400;\"> Unlike a plane mirror, concave mirrors can produce both sorts of images. Real images are formed when the object is more than one focal length distant from the mirror, and a virtual image is formed if the object is less than one focal length away from the concave mirror.\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Images formed can be both Enlarged or Shrunken<\/b><span style=\"font-weight: 400;\">: When the object&#8217;s distance from the concave mirror decreases, the image&#8217;s size increases, and when the distance is increased, the image&#8217;s size decreases.<\/span><\/li>\n<\/ul>\n<p>Also See: <a href=\"https:\/\/www.aakash.ac.in\/boards\/cbse-class-10-syllabus\" target=\"_blank\" rel=\"noopener\">CBSE Class 10 Syllabus<\/a><\/p>\n<h3><span style=\"font-weight: 400;\">Concave Mirror Image Formation<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">The generation of an image is determined by the object&#8217;s location concerning the concave mirror.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A mirror is made up of the following components:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Pole:<\/b><span style=\"font-weight: 400;\"> Is the centre of the reflecting surface of a spherical mirror denoted by P.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Principal Axis:<\/b><span style=\"font-weight: 400;\"> It is the straight line that passes through the pole.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Centre of Curvature:<\/b><span style=\"font-weight: 400;\"> Centre of the sphere is used to form the concave mirror.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Focus: <\/b><span style=\"font-weight: 400;\">The focal point is the common point on the principal axis on which the reflected rays converge when coming in parallel to the principal axis denoted by F.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Focal Length:<\/b><span style=\"font-weight: 400;\"> The distance between its pole and its Focus is represented by f.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">We take two incident rays from the object into account. After reflection, the intersection of these two rays yields the position and attributes of the object&#8217;s image:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned between the Focus and the Pole:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">One ray runs parallel to the main axis, while the other passes via the mirror&#8217;s centre of curvature.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image created here is virtual, upright, and magnified.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned at Focus:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">One ray is parallel to the main axis, while the other passes via the mirror&#8217;s centre of curvature.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image formed here is inverted, real and highly magnified.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image is formed at infinity.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned between the centre of curvature and focus:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">One ray is parallel to the main axis, while the other passes through the concave mirror&#8217;s main focus.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image formed here is inverted, real and comparatively enlarged.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image is formed beyond the centre of curvature.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned at the centre of curvature:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">One ray emerges from the object parallel to the primary axis, while the other passes through the mirror&#8217;s focus.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image formed is inverted, real, and the same size as the object.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image is formed in the same position as the object.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned beyond the centre of curvature:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">One is parallel to the main axis, while the other is aimed at the mirror&#8217;s centre of curvature.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image formed is inverted, real and shrunken.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the object is positioned at Infinity:-<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Both rays emerge parallel to the principal axis and converge to the focus after reflection.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image formed is inverted, real and shrunken (point size).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The image is formed at the Focus.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For a more extensive explanation of basic physics ideas, <\/span><a href=\"https:\/\/www.aakash.ac.in\/important-concepts\/physics\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Click here<\/span><\/a><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Image Formation Table of a Concave Mirror<\/span><\/h3>\n<table>\n<tbody>\n<tr>\n<td><b>Position of the object<\/b><\/td>\n<td><b>Position of the image<\/b><\/td>\n<td><b>Size of the image<\/b><\/td>\n<td><b>Nature of the image<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Between F and P<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Behind the mirror<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Enlarged<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Upright and virtual<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">At F<\/span><\/td>\n<td><span style=\"font-weight: 400;\">At infinity<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Highly enlarged<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Inverted and Real<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Between C and F<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Beyond C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Enlarged<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Inverted and Real<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">At C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">At C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Same size<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Inverted and Real<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Beyond C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Between F and C<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Diminished<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Inverted and Real<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">At infinity<\/span><\/td>\n<td><span style=\"font-weight: 400;\">At focus, F<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Shrunken(Point Size)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Inverted and Real<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">NOTE: Except when an object is positioned between the focus and the pole of the mirror, a concave mirror always forms real and inverted images.<\/span><\/p>\n<h3>Sign Conventions<\/h3>\n<p><span style=\"font-weight: 400;\">We need to calculate some fundamental parameters numerically to learn more about the formation of images through a concave mirror.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Object distance from the mirror (u)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Image distance from the mirror (v)\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Object height from the principal axis<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Image height from the principal axis<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">And the Focal Length (f)<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">However, determine whether these quantities are positive (distances measured horizontally to the right of the pole or vertically above the principal axis) or negative (distances measured horizontally to the left of the pole or vertically below the principal axis).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This is done according to a set of guidelines called <\/span><b>Sign Conventions:-<\/b><\/p>\n<p><span style=\"font-weight: 400;\">As a result, the following values are always assessed in this manner for a concave mirror:-<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The object distance is always negative since the object is always to the left of the pole.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The object height is always positive since the object is always above the principal axis.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The focal length is always negative since the focus is always to the left of the pole.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The image distance is always negative for a real picture and always positive for a virtual image.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The image height is positive or negative, depending on the picture being created above or below the principal axis.<\/span><\/li>\n<\/ul>\n<h3>Mirror Formula<\/h3>\n<p><span style=\"font-weight: 400;\">When an object is placed u units in front of a spherical mirror with a focal length of f units and the image is created v units away from the mirror, Mirror Formula relates u, v, and f as follows:<\/span><\/p>\n<p><b>1\/u + 1\/v = 1\/f<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Sign varies as per the sign conventions.<\/span><\/p>\n<h3>Conclusion<\/h3>\n<p><span style=\"font-weight: 400;\">A concave mirror has the centre bent inwards. Concave mirrors, unlike plane mirrors, can generate both virtual and real images.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A pole, Centre of curvature, Principal axis, and focus form up a mirror.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">When the object is more than one focal length away from the concave mirror, a real image is generated, and when the object is less than one focal length away from the mirror, a virtual image is formed. The image&#8217;s size increases as the distance between it and the concave mirror reduces, while the object&#8217;s size is reduced as the distance increases. The size of an image grows as its distance from the concave mirror decreases.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Mirror Formula relates u, v, and f when the object is positioned u units in front of a spherical mirror with a focal length of f units, and the image is formed v units distant from the mirror:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">1\/f = 1\/u + 1\/v. If you want to learn more about the topic, then Lakhmir Singh provides a wealth of information on this topic; login <\/span><a href=\"https:\/\/www.aakash.ac.in\/book-solutions\/lakhmir-singh-solutions\"><span style=\"font-weight: 400;\">here<\/span><\/a><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p>If you are preparing for <a href=\"https:\/\/www.aakash.ac.in\/boards\/cbse-class-10\" target=\"_blank\" rel=\"noopener\">CBSE Class 10<\/a> Term 2 exams, then go through these:<\/p>\n<p><a href=\"https:\/\/www.aakash.ac.in\/ncert-solutions\" target=\"_blank\" rel=\"noopener\">NCERT Solutions<\/a><\/p>\n<p><a href=\"https:\/\/www.aakash.ac.in\/ncert-solutions\/class-10\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 10<\/a><\/p>\n<p><a href=\"https:\/\/www.aakash.ac.in\/ncert-solutions\/class-10\/science\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 10 Physics<\/a><\/p>\n<p><a href=\"https:\/\/www.aakash.ac.in\/blog\/cbse-class-10-term-2-science-syllabus-chapter-wise-weightage-important-questions\/\" target=\"_blank\" rel=\"noopener\">CBSE Class 10 Science Syllabus<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A flat mirror is just a perfectly planar, smooth, mirrored surface. The image created here is not altered in any way. On the other hand, a spherical mirror has a uniform curvature and a constant radius of curvature and can have distorted images. Depending on which side you place the reflected surface on, spherical mirrors [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":147660,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3581],"tags":[2861,2881,2606],"class_list":["post-149596","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse","tag-cbse-class-10-physics","tag-cbse-class-10-term-2-exams","tag-cbse-term-2-exams"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Concave Mirror Image Formation: How is an Image Formed in a Concave Mirror | CBSE Class 10th Physics<\/title>\n<meta name=\"description\" content=\"Concave Mirror Image Formation: Concave mirrors, unlike flat mirrors, can project real images in front of the mirror at the point where the light focuses. notes on the Physics concept 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