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Using Huygens principle, show that the a...

Using Huygens principle, show that the angle of incidence is equal to angle of reflection during a plane wave front reflected by a plane surface.

Text Solution

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Let 'v' be the speed of wave in the medium , `tau` be the time taken by the wavefront to move from the point B to C.
`BC=t tau`
Let AE be the radius of an arc drawn at E and EC be the tangent drawn at E.
`AE=BC=v tau`
The triangles AEC and CBA are congruent and therefore `overset(^)(i)=overset(^)(r )` Hence the law of reflection is proved.
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