Question

Verify or derive the laws of reflection of light on the basis of Hyugen's wave theory.
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Answer 1

According to Huygen's principle ,each point of the wavefront is the source of a secondary disturbance and the wavelets emanating from these points spread out in all directions with the speed of the wave.

These wavelets emanating from the wavefront are usually referred to as Secondary wavelets and if we draw a common tangent to all these  spheres, we obtain the new position of the wavefront at a later time.

Referring to the figure,

If we consider a plane wave AB incident at an angle i on the surface MN.

If,

v : speed of the wave in the medium

τ: time taken by the wavefront to advance from point B to C

Then,

BC=vτ 

Let CE be the tangent plane drawn from C to the sphere ,

AE=BC=vτ 

Now, on considering triangles EAC and BAC. We can see that they are congruent and therefore,

the angles i and r would be equal. This proves the law of reflection

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Answer 2

Answer:

Answer is given below

Explanation:

According to Huygen each and every point on the plane wavefront is the source of secondary disturbance which propagates in all the direction XY is the refracting surface. ... Hence, law of reflection can be easily derived by using Huygen's principle.