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A flat mirror is neither converging nor diverging. To prove this, consider two rays originating from the same point and diverging at an angle $\theta$ . Show that after striking a plane mirror, the angle between their directions remains $\theta$ .

Since the two triangles have a mutual base with two inner equivalent angles in each, therefore we can deduce that they two triangles are similar and therefore if the incident rays from the same source have an angle $\theta,$ then after striking a plane mirror, the angle between their directions remains.

Physics 103

Chapter 25

Geometric Optics

Reflection and Refraction of Light

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Lectures

02:30

In optics, ray optics is a…

10:00

In optics, reflection is t…

01:24

A flat mirror is neither c…

03:46

The reflecting surfaces of…

01:18

Prove that a ray of light …

03:54

Two plane mirrors are at r…

04:09

(II) Show that if two plan…

01:20

$\bullet$ . Prove that whe…

09:07

(III) Show that if two pla…

02:58

$\bullet$ Three plane mirr…

04:25

Two plane mirrors are conn…

04:34

Three plane mirrors inters…

02:48

The drawing shows two plan…

02:02

Show that as the radius of…

05:50

Two plane mirrors make an …

01:59

Two plane mirrors are posi…

03:04

A point source of light is…

04:56

Use the law of reflection …

02:19

Two plane mirrors are sepa…

00:56

Show that when light refle…

00:30

Two flat mirrors have thei…

03:31

Two flat mirrors make an a…

we can prove the similarity between two triangles with angle cheetah on the Vertex. So the, uh, geometry for this question can be drawn as Okay. This Okay, So this is the geometry for the given caution in which we have two incident re this and this and this is our reflected Right. So this is our first reflected re. And this is our second reflected re. This is our first incidentally, and this is our second incident rate incident. Ray is making an angle. Cheetah would be the normal and, uh, reflecting Ray will make also 2 to 1 angle similarly to two angles. Okay, so let us suppose this is point a and this is going to be and this is point C. And this is point today. So we have two triangles, ABC and B C D B C d. Or we can write it more property to compare. Yeah, D B c. Okay. These are the two triangles. So in these two triangles, we have common angle Alpha. This alpha angle is common in both and side B C is common in both and gamma. This gamma angle is complimentary angle for this to this, uh, diagram. So from here we can say that both triangles are similar. Both triangles are similar. So we can say that if this angle is Tita, then this angle will also be equals two. Okay, so now we can see that since the two triangles have mutual base with the inner equivalent angles. Therefore, we can say that both triangles are similar. Hence there If incident re from the same source having an angle, Tita then after striking the plane mirror after striking the plane mirror mhm the direction will remain safe. So okay to direction will remain the same. So this will be our proof. Direction will remain. See, This can be Britain properly as direction will remain the same. So this is our proof for the given.

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