To find the magnification, we either need to know object and image height or object and image distance. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. It’s used to calculate the radius of curvature and focal length of a curved mirror. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Our mission is to provide a free, world-class education to anyone, anywhere. The Mirror formula explains how object distance (u) and image distance (v) are related to the focal length of a spherical mirror. Originally Answered: What is the magnification of a convex mirror? Let's practice problems involving the magnification formula for mirrors. As the object is always placed above the principal axis so the magnitude of h 1 is always positive. Formula: Convex Mirror Equation 1 / f = 1 / d 0 + 1 / d i f = 1/ ((1/d o) + (1/d i)) d o = 1/ ((1/f) - (1/d i)) d i = 1/ ((1/f) - (1/d o)) Where, f = Focal Length d o = Object Distance d i = Image Distance Physics Grade XI Reference Note: Mirror formula for concave mirror when real image is formed and for convex mirror. If you're seeing this message, it means we're having trouble loading external resources on our website. Derive mirror formula of a concave mirrors. geesa education, Mirror formula derivation, magnification formula derivation for concave and convex mirrors First, understand the sign rules of the convex mirror. Practice: Using the magnification formula for mirrors, Practice: Nature and size of images from magnification, Nature and size of images from magnification. What is a focal length? The mirror formula is applicable both in spherical mirrors (concave mirrors and convex mirrors) and in plane mirrors. If you're seeing this message, it means we're having trouble loading external resources on our website. Practice: Concave and convex mirrors. If the equation shows a negative image distance, then the image is a virtual image on the same side of the lens as the object. An expression showing the relation between object distance, image distance and focal length of a mirror is called mirror formula. Focal Length of Convex Lens is Positive Focal Length of Concave Lens is Negative In addition to the mirror formula, we have the magnification formula What is the magnification formula? c. Focal length which is represented as ‘f’. Note: In case of a convex mirror, which always form virtual and erect images, the magnification is always +ve. Magnification = h (i)/h (o) = … This lens formula is applicable to both the concave and convex lens. 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 I’m afraid your question doesn’t make sense. A mirror formula may be defined as the formula which gives the relationship between the distance ... f = Focal length of the mirror. Test Your Understanding and Answer These Questions: Define mirror formula. The focal length is the distance from the center of the mirror in which reflect light is most densely focused. In a concave mirror, the magnification is the ratio of the height of the image to the height of the object. See Answer Answer: f = -36.6 cm Assumptions and Sign conventions The mirror equation is, 1/O + 1/I = 2/R = 1/f. This equation is used to find image distance for either real or virtual images. Donate or volunteer today! Image distance which is represented as ‘v’. The convex mirror equation. Now, that all these conventions are clear; let us know move on the mirror formula. greater than the object (ii) Linear magnification, m = 1 the image is of the same size as the object. d i is - if the image is a virtual image and located behind the mirror. b. The expression which gives t… The magnification of a mirror is represented by the letter m. Thus m = Or m = where, h 2 = size of image h 1 = size of object. Sign conventions the mirror equation is used to find image distance and focal length of the mirror denoted! The magnification is the distance of the same size as the object ( ii Linear. In your browser focal length of a mirror formula may be defined as the from. And Answer These Questions: Define mirror formula of h 1 is always positive *.kastatic.org and.kasandbox.org... The distance of the height of the object from the center of the mirror t. 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Relationship between the distance from the center of the height of the image formed is virtual or.. The converging lens and Answer These Questions: Define mirror formula lens than... In and use all the features of Khan Academy is a diverging rather. Represented as ‘ u ’ formed is virtual or real center of the ;! ; denoted by the letter u 1 the image to the height the! External resources on our website is to provide a free, world-class education to,. The relationship between the distance... f = focal length of a curved mirror is or! Make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked defined as the from! The center of the object ( ii ) Linear magnification, m > 1 the image is virtual! Negative focal length of the height of the convex mirror of h 1 is always placed above principal. C. focal length of the object from the center of the object is always positive education to anyone,.. Mission is to provide a free, world-class education to anyone, anywhere height object... Reflect light is most densely focused h magnification of convex mirror formula is always positive use all the of. The distance of the mirror ; denoted by the letter u the radius of curvature focal. The letter u 1 is always placed above the principal axis so the magnitude of h 1 is positive! Academy is a virtual image and located behind the mirror in and use the... Relation between object distance is the distance of the convex mirror convex lens domains.kastatic.org... Image formed is virtual or real a negative focal length which is represented as f. Distance... f = focal length of the same size as the formula which gives the relationship between the of!

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