Question

Prove why the angle of incidence is always equal to the angle of reflection?

Answer 1

It's a prooved statement...
it can be prooved practically and scientists have done this many times.. that's why it is written in books..

Answer 2

Answer:

hello there!!!!

this is chinmayee answering your question......

Explanation:

to prove that angle of incidence is equal to angle of reflection,, we need first understand the laws of reflection..

1. 1st law states that angle of incidence that is angle made by the normal and incident ray not the one that incident ray makes with the surface.And also reflecting ray with normal again not with the one it makes with suraface.
2. 2nd law states that  the incident ray,reflected ray and normal all lie on the same plane.

2nd law is actually considered when we deal with 3 Demenesional objects.

• It is so because in 3D world, if a incident ray hits the surface and and a normal is drawn and the angle of incidence is known, we cannot simply figure out what is reflected ray.wondering why? look here...if we take a incident ray and normal, the reflected ray could be any point on a cone.how? it is so because,in 3D world if we take normal as a centre and incident ray as the any point in a circle, and reflecting ray also as any point in a circle, it is difficult to figure out which point exactly on a cone is reflected ray as there should be only one reflected ray.

coming to your question refer to the attachment first...

• in the figure you can see that incident ray, reflected ray as well as normal with the extended ray of incident ray..
• so if we really want to prove the 1st law, with the given figure here is how it is..

1. the three triangles are congruent if you carefully observe the picture.
2. as they are congruent, the angle made with the surface by both incident ray and reflected ray is equal
3. now as normal is a perpendicular line, the angle which is made by the incident and reflected rays with surface+angle made by incident and reflected ray with normal = 90 degress
4. so this proves that angle of incidence is always equal to angle of reflection...

hope it is helpful....

thank you...