# mirror formula and magnification

Magnification produced by a CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, Lakhmir Singh Solutions For Class 8 Science, NCERT Solutions For Class 11 Business Studies, NCERT Solutions For Class 12 Business Studies, NCERT Solution For Class 12 Accountancy Part-1, NCERT Solution For Class 12 Accountancy Part-2, NCERT Solution For Class 12 Micro-economics, NCERT Solution For Class 12 Macro-economics, NCERT Solutions For Class 6 Social Science, NCERT Solutions For Class 7 Social Science, NCERT Solutions For Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 10 Social Science. T he linear magnification produced by a mirror is equal to the ratio of the image distance to the object distance, with a minus sign Practice Questions Find the size, nature and position of image formed when an object of size 1 cm is placed at a distance of 15 cm from a concave mirror of focal length 10 cm. Those two are similar triangles and what do we know about similar triangles? {{m}_{s}}={{m}^{2}}=\frac{{{A}_{i}}}{{{A}_{o}}}\). What struck us? But we’re going to make it so that remembering it won’t be so mundane to you because you’ll also understand where it comes from. No matter how you want to rearrange it make it look that way. Left and down – negative. And now those two being equal, just cross multiply them and see what happens. So what do we need though? Yeah, AA similarity, if you want to call it by a particular name, it’s called AA similarity. Right? Because before this there was a pretty difficult convention where you measured this way in a particular manner, that way, no. Now why we are doing this don’t ask me okay. As a demonstration of the effectiveness of the mirror equation and magnification equation, consider the following example problem and its solution. It could either be this way or it could be that way. Divide the whole thing, the entire equation by uvf. And you’ll learn this. Let’s define what’s called a convention. Pretty simple right? We’re going to drive something that’s very favorite you know, it’s pretty weird to most of the people who’ll ask you a few questions. Take one ray, and draw, that’s right, the parallel ray is going to go through the focus. Anything down is negative, and anything up is positive. magnification. In fact most of the countries in the world do it in the right side. Second Formula for Magnification There is another formula of magnification 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 10.1 - A convex mirror used for rear-view on an automobile has a radius of curvature of 3.00 m. We’re going to understand what this mirror formula is. Magnification may also be determined by taking the ratio of the distance from the image to the mirror and the distance from the object to the mirror: magnification, m = image distance = di object distance d0 Either of the above formula may be used to determine magnification. Lots of people can do things in many, many ways. So we all love formulas don’t we? All their angles are equal, but also all their sides are proportional. The distance from the object to the mirror is called u. We’ll call it u, the object distance. So that’s one of the things we’re going to do here right now. Wouldn’t it be nice if we were able to do that? But the first thing we need before we talk any math is to define something called a convention. If I’ve given you a mirror, we found out if we keep an object somewhere, where is the image going to form? 1) Mirror Formula: \(\frac{1}{f}=\frac{1}{v}+\frac{1}{u}\). Given where the object forms we should be able to tell where the image will form. We’re doing this so that we can connect these 3 quantities. 2) Lateral Magnification: When an object is placed perpendicular to the For make‐up and shaving mirrors the most common ratings are 3X, 5X, 7X and 10X. Right? And first the purpose. So where is the image forming? Because something that looks like that now begins to look like this. 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. So with that in mind the other thing we want to say is all distances are measured from the origin or the pole. Mirror To avoid all the other drawings and everything. 3) Axis Magnification: When object lies along the principle axis then Two pairs of similar triangles equate. Great. Then we’ll take the pole of the mirror as what we call our origin. Because they have an opposite angle and they have right angles. Great. (1/v) + (1/u) = (1/f). Makes it so that our old method is too long. So right and up – positive. If you know where the image is it will tell you where the object is. And if you have already been accustomed to what’s called the Cartesian coordinates, then we know something. 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. We know u, we know v, we know f. How can we relate them? So how do we measure where the image is? The distance from the image to the mirror is called v. Yeah. So now that we have the sign convention in place what do we do to use it? That’s how it’s going to look. It looks like this and what do you observe? Now there are some countries where they do it in the right side of the road. What did we see till now? height of the image to the height of the object. Right? What’s a convention? All needed was a scale, maybe a pencil, protractor also not required right? So that’s what we are going to do today, or in this couple of minutes that we’re going to spend. e. All the distances … It’s going to be pretty irritating if you think about it. Range of Expressions using Trigonometric Substitution, AYUSH Counselling Schedule for NEET AIQ GOVT./ GOVT. That side by this side equals this side by that side. We don’t want to use even pencil, scale, nothing. It’s called the mirror formula. Anything you want to know, why do I need it? spherical mirror gives the relative extent to which the image of an object is What we are going to do is figure out how exactly do we measure these lengths? And the focal length, let’s call it f. Pretty simple right? We’re looking for something that relates to those quantities. Right? No matter what it is, right is positive and up is positive. 3) For most users a 3X or a 5X mirror works very well. Just one formula it tells you, if you know the object, where’s the object it will tell you where the image is. A mirror formula may be defined as the formula which gives the relationship between the distance of image v, distance of object u, and the focal length of a mirror. Now, forget the diagram. So all these distances are what we are going to try and connect because that’s what we mean by finding out where the image is. And that’s the top part of our image, this is the bottom part, so that’s where the image is going to be. So let’s use our knowledge from some of the triangles. Have to remember this mirror formula. The expression which gives t… \right)}{Area\,of\,object\left( {{A}_{o}} \right)}\Rightarrow Or let us see what happens and where the image forms by our known method. A plain flat mirror would be rated at 1X and one that makes an object 3 times larger would be rated at 3X. 1 by v, plus 1 by u equals 1 by f. Right? So now with this knowledge in our hand, we can jump into and try to find out where image is formed even without any pencil, paper, drawing, nothing. Just calculating out of pure math. focal length of the mirror and this formula is valid in all situations for all We will all write A this way and not in some other way. Concave or convex. Right? Just like that. So write it down in mathematical form that way and let’s now look again. One term cancels. Now look at that. So write that equation. spherical mirrors for all positions of the object. Right, becomes a very simple thing. d. All the distances parallel to the principal axis are measured from the pole (p) of the mirror. The sign convention for spherical mirrors follows a set of rules known as the “New Cartesian Sign Convention”, as mentioned below: a.

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