Two plane mirrors are facing each other 2.2 m apart as in Fig. 61 . You stand 1.5 m away from on

Two plane mirrors are facing each other 2.2 m apart as in...

Key Concepts

Geometrical Analysis in Optics

This concept involves using geometric methods to trace light paths and determine image locations. By applying simple distance and angle relationships, one can predict where multiple images will appear in a system of mirrors. This type of analysis is often used to solve problems involving parallel or inclined mirrors in the study of optics.

Multiple Reflection

Multiple reflection occurs when light bounces back and forth between two or more reflective surfaces, leading to the formation of multiple images. In the context of two parallel plane mirrors facing each other, each mirror reflects not only the original object but also the images formed by reflections in the opposite mirror. This recursive process results in an array of images that appear at systematically calculated positions.

Virtual Image

A virtual image is one that cannot be projected onto a screen because light rays only appear to diverge from a point behind the mirror. In the case of a plane mirror, the virtual image is constructed by extending the reflected rays backwards, creating the perception of an image at an equal distance behind the mirror. Recognizing the difference between virtual images and real images is essential in optics.

Plane Mirror Reflection

This concept refers to how an image is formed in a flat mirror. A plane mirror produces a virtual image that appears behind the mirror at the same distance as the object is in front of it. The image has the same size and is laterally inverted relative to the object. This principle underlies most everyday mirror reflections and is key for understanding how images are positioned relative to the mirrors.

Law of Reflection

The law of reflection states that the angle of incidence is equal to the angle of reflection, with both angles measured relative to the normal at the point of incidence. This fundamental principle guides how light behaves when it strikes a reflective surface and is critical for understanding image formation in mirrors.

Transcript

00:01 In figure, it is shown that there are two mirrors left and right, which are plain mirrors and those are 2 .2 meter apart from each other.

00:10 And in between them, we are place an object which is heading towards this left mirror and that is at 1 .5 meter from left side mirror.

00:21 So we are here asked to find out that how far away the first three images, those are formed.

00:30 In this left mirror so that we want to find out here.

00:34 So for mirror like this we should know that whatever be the object distance at same the image that will be get formed and the image which is formed by one mirror that will act like an object for the other mirror.

00:49 So like that it goes on happening so here there are number of infinite number of images of an object those are formed.

00:58 Example that that that kind of experience you might be a gate in barber shop or so let us say how we can find this so initially the object which is at 1 .5 meter here because of this left mirror the image that will be formed at same distance as that of this object that is at 1 .5 meter so definitely from this object this 1 .5 and this 1 .5 that means the image distance first answer image distance from this object that will be 3 meter then this object that will also be the image of this object that will also be formed in this right side mirror now as this total distance is given to 0 .2 meter it means the distance of object from right side mirror would be 0 .7 meter so in this right side mirror the image i'll just call it as i1 dash so that is formed at 0 .7 meter.

02:10 Now this particular image which is formed in right side mirror that will act like an object for left side mirror so now the distance of this from left side mirror that would be 2 .2 plus this point 7 that means this total distance that we have have that is 2 .9 so the second image that is formed in this left side mirror that would be at 2 .9 meter and if i measure its distance from the object so this 2 .9 plus this 1 .5 that means the distance of second image would be 2 .9 plus 1 .5 so that would be 4 .4 meter right then as this first image which is formed in left -side mirror that acts like an object for right -side mirror and its distance, let me mark it with different color pen.

03:17 So the distance of this now from the right -side mirror that would be this 2 .2 plus 1 .5 means 3 .7...

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