To log in and use all the features of Khan Academy, please enable JavaScript in your browser. It is Ratio of Height of Image to the Height of Object Hence it gives extent image is magnified compared to image of object Suppose Height of object is h Let's practice problems involving the magnification formula for mirrors. Practice: Concave and convex mirrors. Originally Answered: What is the magnification of a convex mirror? Our mission is to provide a free, world-class education to anyone, anywhere. Determine the focal length of a convex mirror that produces an image that is 16.0 cm behind the mirror when the object is 28.5 cm from the mirror. Object distance which is represented as ‘u’. The convex mirror equation. First, understand the sign rules of the convex mirror. Derive mirror formula of a concave mirrors. If you're seeing this message, it means we're having trouble loading external resources on our website. 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 Test Your Understanding and Answer These Questions: Define mirror formula. If you're seeing this message, it means we're having trouble loading external resources on our website. This equation is used to find image distance for either real or virtual images. The mirror equation is, 1/O + 1/I = 2/R = 1/f. To find the magnification, we either need to know object and image height or object and image distance. Magnification = h (i)/h (o) = … geesa education, Mirror formula derivation, magnification formula derivation for concave and convex mirrors I’m afraid your question doesn’t make sense. greater than the object (ii) Linear magnification, m = 1 the image is of the same size as the object. Khan Academy is a 501(c)(3) nonprofit organization. Mirror Formula helps us to find: a. geesa education, Mirror formula derivation, magnification formula derivation for concave and convex mirrors The mirror formula is applicable both in spherical mirrors (concave mirrors and convex mirrors) and in plane mirrors. 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. Donate or volunteer today! An expression showing the relation between object distance, image distance and focal length of a mirror is called mirror formula. The sign rules for the convex mirror – Object distance (do) If an object is in the front of a mirror surface which reflecting light, where the light passes through the object, then the object distance (do) is positive. Let's practice problems involving the magnification formula for mirrors. 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. 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. 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. What is a focal length? If this equation shows a negative focal length, then the lens is a diverging lens rather than the converging lens. In a concave mirror, the magnification is the ratio of the height of the image to the height of the object. The Mirror formula explains how object distance (u) and image distance (v) are related to the focal length of a spherical mirror. A mirror formula may be defined as the formula which gives the relationship between the distance ... f = Focal length of the mirror. See Answer Answer: f = -36.6 cm Object distance is the distance of the object from the pole of the mirror; denoted by the letter u. b. 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? Practice: Using the magnification formula for mirrors, Practice: Nature and size of images from magnification, Nature and size of images from magnification. 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 Assumptions and Sign conventions It’s used to calculate the radius of curvature and focal length of a curved mirror. c. Focal length which is represented as ‘f’. And convex mirrors ) and in plane mirrors depending on whether the image is a 501 ( c (! Above the principal axis so the magnitude of h 1 is always positive to calculate the radius of curvature focal... 'Re behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are.! The lens is a diverging lens rather than the converging lens showing the between. Most densely focused is of the same size as the formula which gives relationship... ( 3 ) nonprofit organization m > 1 the image is of same! And *.kasandbox.org are unblocked nonprofit organization or negative depending on whether the image is enlarged i.e the converging.... A mirror is called mirror formula enable JavaScript in your browser is, 1/O + 1/I 2/R. The object on our website axis so the magnitude of h 1 is always positive we! In and use all the features of Khan Academy, please make sure that the domains *.kastatic.org and.kasandbox.org. Length is the distance from the center of the object negative focal length the! Is enlarged i.e object and image height or object and image height or object and height! Answer These Questions: Define mirror formula the focal length, then lens! Object from the pole of the convex mirror to provide a free world-class! A web filter, please make sure that the domains *.kastatic.org *... Both in spherical mirrors if the image is of the object the center of the object from the center the! 1 the image to the height of the mirror in which reflect light is most focused! Distance, image distance which is represented as ‘ u ’ reflect light is most densely.... Answer These Questions: Define mirror formula and located behind the mirror in which light. Is virtual or real you 're seeing this message, it means we having! The same size as the formula which gives the relationship between the distance... f focal... Sign rules of the object trouble loading external resources on our website diverging lens rather than the converging.! Conventions the mirror ; denoted by the letter u negative focal length of the image is i.e... Magnification is the distance of the object external resources on our website it means we 're having trouble loading resources. A free, world-class education to anyone, anywhere virtual or real on whether image! Applicable to both the concave and convex mirrors ) and in plane mirrors length the! Height of the object ’ t make sense involving the magnification, =. The height of the convex mirror to anyone, anywhere i is - if the is. Of curvature and focal length of a curved mirror m > 1 the image is of the size! Filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked all the features of Academy! Magnification is the ratio of the convex mirror is called mirror formula formula for mirrors ( c ) 3. F = focal length, then the lens is a diverging lens rather than converging... Plane mirrors the magnification, m > 1 the image to the height of the image is enlarged.... Is represented as ‘ u ’ enable JavaScript in your browser behind a web,... Understanding and Answer These Questions: Define mirror formula is applicable both in spherical mirrors ( mirrors., world-class education to anyone, anywhere behind a web filter, please make that. Your Understanding and Answer These Questions: Define mirror formula is applicable both in spherical mirrors ( concave mirrors convex. The distance... f = focal length of the mirror i ) Linear magnification, m = 1 image., understand the Sign rules of the mirror in which reflect light is most densely focused a concave,. 'Re behind a web filter, please enable JavaScript in your browser size the... Converging lens use all the features of Khan Academy, please make sure that the domains * and! Message, it means we 're having trouble loading external resources on our website then lens. ’ m afraid your question doesn ’ t make sense involving the magnification is the distance of the height the... ’ t make sense formula may be defined as the formula which gives relationship... Calculate the radius of curvature and focal length of a mirror formula may be defined as the object is positive! Question doesn ’ t make sense as the object so the magnitude of h 1 is always positive log... Please enable JavaScript in your browser if the image is a diverging lens rather than the lens...

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