## How to prove that the angle of incidence is equal to the angle of reflection

Posted on 24.05.2019 by An
Let a right ray AO from a source A strike a plane mirror at O and reflected as ray OB. As per law of reflection the angle of incidence is always equal to angle of reflection. It has a relation with the angle of reflection and also with the type of reflecting surface. Let B be a point on ray OB and let ON be the normal to the mirror at.
How is the angle of incidence equal to the angle of reflection. When a wave reflects its angle of incidence equals its angle of reflection. The angle of incidence is x and angle of reflection is y, as shown. - The angle of incidence is the angle between the perpendicular to the reflecting surface and the direction from which the light arrives before reflection. Why angle of incidence equals angle of reflection.
But the angle of strike is measured as the angle between the ray and the normal to the surface at the point of incidence of the ray. The energy in the surface wave decays exponentially with distance from the interface into the transmission region. This can be proved mathematically and also by a simple experiment. The Angle of incidence can be defined as the angle with which a light ray strikes a reflecting surface. There are many mathematical proofs but the simplest proof is based on Fermats Principle. It works here in Georgia, if the surface is flat and smooth. - The angle of reflection is the angle between the perpendicular to the reflecting surface and the direction toward which the light departs after reflection.