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The principal axis of the mirror is taken as the x-axis (X'X) of the coordinate system. 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. Sir, I am confused on what sign conventions to follow. Again, take the side of the lens where the object is to be the positive side. According to it: Object is always placed to the left of mirror; All distances are measured from the pole of the mirror. Sign convention for reflection by spherical mirrors Reflection of light by spherical mirrors follow a set of sign conventions called the New Cartesian Sign Convention. For the measurement of all the distances, the optical center of the lens is considered. MIT 2.71/2.710 02/16/09 wk3-a-How to make sense of the sign conventions 11 • Recall: light propagates from left to right; therefore: • if an object is to the left of the optical element – then the distance from the object to the element is positive; • if an object is to the right of the optical element – then the distance from the object to the element is negative; Confused on mirror/lens sign conventions Thread starter Amith2006; Start date Jun 5, 2006; Jun 5, 2006 #1 Amith2006. In this convention, the pole (P) of the mirror is taken as the origin. When this happens, the object distance is negative and the object is said to be a virtual object. Can we change the sign convention (distance measured in the direction of incident ray positive and opposite negative) midway solving a problem. Because the mirror sends light backwards, now it's going right to left. The +/- Sign Conventions. Sign Convention for Spherical Mirrors and Thin Lenses Applies to: Mirror and Thin Lens Equation: 1/ d o + 1/ d i = 1/ f Magnification Equation: Image height/Object height = h i / h o = - d i / d o ... second mirror/lens. After a mirror, we're going to flip all these conventions. And then, after a mirror, and this is the one that causes lots of pain, but it makes everything work very nicely. Derivation of lens formula or mirror equation; Sign Conventions. Refer to the diagram for clear visualization. Mirror Thin Lens . According to me we should ,as the mirror/lens formula is for an individual apparatus,and cannot be for the whole problem. Sign convention is a set of rules to set signs for image distance, object distance, focal length, etc for mathematical analysis of image formation. mirror or lens of focal length f is reflected or transmitted by the optical element, an image of height h! $-----$ Focal lengths are going to be positive if the lens is converging, and negative if the lens is diverging. I reffered 5 or six books which says that focal length of convex mirror is positive and focal length of concave mirror is negative. The sign convention for lenses is similar to that for mirrors. New Cartesian Sign Convention is used to avoid confusion in understanding the ray directions. Because a lens transmits light rather than reflecting it like a mirror does, the other side of the lens is the positive side for images. 427 2. is formed at distance q from the mirror or lens.

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