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We now derive the mirror equation or the relation between the object distance (u), image distance (v) and the focal length ( f ). The magnification equation for mirrors describes such a relation: M=-distance of image/distance of object = height of image/height of object. The mirror formula is applicable for both, plane mirrors and spherical mirrors (convex and concave mirrors). e. All the distances … The pole (p) of the mirror is taken as the origin. The aperture of the mirror … The expression which gives t… d. All the distances parallel to the principal axis are measured from the pole (p) of the mirror. The tangent BD we drew to the mirror (in Fig B) in which points B and D are considered as a single point on the mirror is of a small aperture. This video is highly rated … Mirror Formula for Concave and Convex Mirror Mirror Formula. Thus, point A′ is image point of A if every ray originating at point A and falling on the concave mirror after reflection passes through the point A′. An expression showing the relation between object distance, image distance and focal length of a mirror is called the mirror formula. Nov 22, 2020 - Ray Optics 06 : Mirror's Formula -Derivation for Concave & Convex Mirror +Basic Numericals + Concept JEE Video | EduRev is made by best teachers of JEE. I understand how this formula can be proved using a ray diagram for concave mirrors … d i is - if the image is a virtual image and located behind the mirror. The sign convention for spherical mirrors follows a set of rules known as the “New Cartesian Sign Convention”, as mentioned below: a. The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis … The centre of the square is at the axis of the mirror and the plane is normal to the axis. Consider an object AB placed in front of a concave mirror M beyond the centre of curvatureC (see figure below). 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. https://www.khanacademy.org/.../mirrors/v/derivation-of-the-mirror-equation 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’. AB / A'B' = BP – FP / FP ………. CN / A'B' = FN / B'F. (M=(-i/o)=h'/h). We now derive the mirror equation or the relation between the … The principal axis is taken as the x-axis of our coordinate system. Now, in order to derive the magnification formula in terms of the object distance andimage distance, we will draw the ray-diagram by using the incident rays of light (i) one which strikes at thepole of concave mirror, and (ii) another … Magnification … (i) Again, ΔA'B'F ~ ΔFCN. Since N' is very close to point p, FN' is similar to FP and BN' is similar to BP. Image distance is the distance of the image from the pole of the mirror and it is denoted by the letter v. And focal length is the distance of the principal focus from the pole of the mirror. AB / A'B' = FP / B'P – FP ……. Thus, point A′ is image point of A if every ray originating at point A and falling on the concave mirror after reflection passes through the point A′. The sign conventions for the given quantities in the mirror equation and magnification equations are as follows: f is + if the mirror is a concave mirror; f is - if the mirror is a convex mirror; d i is + if the image is a real image and located on the object's side of the mirror. Find Magnification Given Object Distance = u = –3 Image Distance = v = –12 So Magnification m is given by m = (−)/ m = (−(−12))/((−3)) m = (−12)/3 m = −4 u and v are negative because they are in front of the mirror Object distance is the distance of the object from the pole of the mirror; denoted by the letter u. Summary: We summarised that the equation 1/f = 1/ a + 1/ b is same for both concave and convex mirrors. = 1/ f = 1/a + 1/ b…..Mirror equation. The Mirror formula explains how object distance (u) and image distance (v) are related to the focal length of a spherical mirror. The area enclosed … Object distance is the distance of the object from the pole of the mirror; denoted by the letter u.Image distance is the distance of the image from the pole of the mirror … The magnification equation for mirrors describes such a relation: M=-distance of image/distance of object = height of image/height of object. b. Derivation of the Magnification Formula for Concave Mirror. The Mirror formula explains how object distance (u) and image distance (v) are related to the focal length of a spherical mirror. To derive the formula following assumptions and sign conventions are made. A square of side 3 cm is placed at a distance of 25 cm from a concave mirror of focal length 10 cm. Derivation of formula for convex mirror: Let AB be an object placed on the principal axis of a convex mirror of focal length f. u is the distance between the object and the mirror and v is the distance between the image and the mirror… AB / A'B' = FN / B'N – FN [CN = AB] Since, N is very close to P, B'N is similar to B'P and FN is similar to FP.