Also convex mirror always produces images smaller than the size of the object so it's magnification is always less than 1. d. All the distances parallel to the principal axis are measured from the pole (p) of the mirror. e. All the distances … The mirror formula is applicable both in spherical mirrors (concave mirrors and convex mirrors) and in plane mirrors. c. The object is always placed on the left side of the mirror which implies that light falling from the object on the mirror is on the left-hand side. The linear magnification produced by a spherical mirror (concave or convex) is defined as the ratio of the height of the image (h ¢) to the height of the object (h). FOR SPHERICAL MIRRORS IF THE (i) Linear magnification, m > 1 the image is enlarged i.e. or own an. One of the easiest shapes to analyze is the spherical mirror. Given Height of image = h' = 12cm Height of object = h = 3cm Therefore, m = (ℎ )/(ℎ ) m = ℎ′/ℎ m = 12/3 m = 4 ∴ Magnification is 4 Second Formula for Magnification We have already studied that Object Distance = u Image Distance = v Now, Magnification m is given by m = (−)/ Example Suppose Object distance is 3 cm in front of the mirror. Contact us on below numbers. where m = magnification hi = height of the image In any case, a convex mirror will have a negative focal length. Test Your Understanding and Answer These Questions: Define mirror formula. Academic Partner. After a little algebra, this becomes. A spherical mirror is formed by cutting out a piece of a sphere and silvering either the inside or outside surface. Click hereto get an answer to your question ️ \"The magnification produced by a spherical mirror is - 3 \". It is denoted by the letter ‘m’ and is given by Figure \(\PageIndex{1}\). Nov 23, 2020 - Mirror Formula and Magnification - Light Reflection and Refraction, Class 10, Science | EduRev Notes is made by best teachers of Class 10. It is a pure ratio and has no units. A mirror formula can be defined as the formula which gives the relationship between the distance of object ‘u’, the distance of image ‘v’, and the focal length of the mirror ‘f’. Newton's formula. In a concave mirror, the magnification is the ratio of the height of the image to the height of the object. Curved mirrors come in two basic types: those that converge parallel incident rays of light and those that diverge parallel incident rays of light. A concave mirror will have a positive focal length. The pole (p) of the mirror is taken as the origin. Formulae for spherical mirrors For an object distance u, image distance v and focal length f we have: 1/u + 1/v = 1/f (Cartesian sign convention) This formula applies to both convex and concave minors although you must remember to enter real distances as positive numbers and virtual distances as negative numbers. The sign convention for spherical mirrors follows a set of rules known as the “New Cartesian Sign Convention”, as mentioned below: a. Virtual images will be located behind the mirror surface. A mirror formula may be defined as the formula which gives the relationship between ... of object from pole of mirror and, f = Focal length of the mirror. Note: In case of a convex mirror, which always form virtual and erect images, the magnification is always +ve. greater than the object (ii) Linear magnification, m = 1 the image is of the same size as the object. Another useful formula is known as Newton's formula. Derive mirror formula of a concave mirrors. However, if an image is behind the mirror, the situation is different. For a spherical mirror, the optical axis passes through the mirror’s center of curvature and the mirror’s vertex, as shown in Figure \(\PageIndex{1}\). However, as discussed above, in the small-angle approximation, the focal length of a spherical mirror is one-half the radius of curvature of the mirror, or f = R / 2. Need assistance? The mirror formula is applicable for both, plane mirrors and spherical mirrors (convex and concave mirrors). The Mirror formula explains how object distance (u) and image distance (v) are related to the focal length of a spherical mirror. 1800-212-7858 / 9372462318. List four informations you obtain from this statement about the mirror/image. The formula for magnification is = height of image / height of object = -1. b. Image distance is the distance of the image from the pole of the mirror and it is denoted by the letter v. 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