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. If the magnification is positive, then the image is upright compared to the object (virtual image). We also have another formula for magnification in lenses Magnification = v/u where v is image distance u is object distance Note: - If magnification (m) is positive, It means image formed is virtual and erect If magnification (m) is negative, It means image formed is real and inverted Questions Example 10.3 - A concave lens has focal length of 15 cm. The object lies close to principal axis. Lenses, both converging and diverging, are the marvels of optical physics that use the ability of these media to refract, reflect, or bend light rays. To calculate magnification, use the following formula: magnification = the height of the image ÷ by the height of the object. Lens Formula & Magnification – Lens Power. If the thickness of a lens is negligible in comparison to the radius of curvature, it is a thin lens. The magnification of a lens is represented by the letter ‘m’. The magnification of a lens may be defined as the ratio of the size (height) of the image to the size (height) of the object. f = focal length of the lens. If the thickness of a lens is negligible in comparison to the radius of curvature, it is a thin lens. It will always less than 1. If your answer is between 0 and 1, the image is smaller than the object. Numerical Methods In Lens (A) Lens Formula Definition: The equation relating the object distance (u), the image distance (v) and the focal length (f) of the lens is called the lens formula. In general, the lenses come in two shapes: convex (curved outward) and concave (curved inward). The following typical equation is used to determine a relation between the focal length of the lens, the distance of the object, and the distance of the image. When an object is placed on the principal axis of a convex lens at two different positions, it produces the images with magnification +2 and -4 respectively. Lens A produces a magnification of -0.8 whereas lens B produces a magnification of +0.8. The lens has a small aperture. The lens formula is written as:- This formula is applicable for both, convex and concave lenses, whether the image formed is real or virtual. Thus, m = or m = Where, h 2 = size of image h 1 = size of object. Start with your equation and determine which variables you know. In the case of a concave lens, it is always positive. [2] X Research source Like with many other physics problems, a good way to approach magnification problems is to first write the equation you need to find your answer. View Answer. The magnification is negative for real image and positive for virtual image. https://www.khanacademy.org/.../v/magnification-formula-for-lenses The amount of bending depends upon the index of refraction of the glass.. Thin Lens Formula with Magnification for Concave and Convex Lenses. Lens Formula and Magnification - Lens Power. Thin Lens Formula with Magnification for Concave and Convex Lenses. A magnification of 2 indicates the image is twice the size of the object and a magnification of 1 indicates an image size being the same as the object size. Refraction by a Convex Lens. Assumptions made: The lens is thin. Finally, if your answer is negative, that means the image is upside down. On the other hand, the magnification m is negative when the image formed is real and inverted. Plug your data into the formula and solve. When a convex lens forms a real image, the magnification is considered negative. MEDIUM. From here, you can work backwards to find any pieces of the equation that you need. How many times more away from the lens the image will be formed in the second position as compared to the first position? First, what is a thin lens? LENS FORMULA AND MAGNIFICATION. This lens formula is applicable to both the concave and convex lens. It can also be used to calculate image distance for both real and virtual images. First, what is a thin lens? This is simply because the image is inverted. The lens formula is a mathematical relationship between object distance , image distance and focal length of a spherical lens. o = Distance of object from the optical centre of the lens. Refraction bends the light downward upon entering the glass because the bottom part of the ray hits the slow medium first.. Light travels more slowly in glass than in air. m = -v/ u m= h'/h It will be always negative because virtual and erect image is formed by the convex mirror. Using lens formula the equation for magnification can also be obtained as . April 28, 2019 by Veerendra. Magnification of Convex Lens: It is a ratio between the image height and object height. u = object distance Please note that the magnification formula is applicable both in convex lenses and concave lenses. If your answer is greater than 1, that means the image is magnified. m = h 2 /h 1 = v//u = (f-v)/f = f/(f+u) This equation is valid for both convex and concave lenses and for real and virtual images. The lens formula is applicable to both types of lenses - convex and concave. f= focal length of the lens The lens formula is applicable to all situations with appropriate sign conventions. And the magnification m is positive when the image formed is virtual and erect.

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