Question

State Huygen's Principle. Using this principle illustrate how a parallel beam of light is reflected from a plane mirror. Prove the laws of reflection

Answer 1

Answer:

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Explanation:

Answer 2

Answer:

In accordance with the Huygens principle, each wavefront point is the origin of a secondary disturbance, and wavelets originating from these sites propagate outward at the speed of the wave.

Explanation:

• In accordance with the Huygens principle, each wavefront point is the origin of a secondary disturbance, and wavelets originating from these sites propagate outward at the speed of the wave. We commonly refer to these wavelets that are coming from the wavefront as secondary wavelets.
• If we draw a common tangent to all of these spheres, which are known as Secondary wavelets since they emanate from the wavefront, we may later determine the wavefront's new position.

Proof of the laws of reflection:

• If we consider a plane wave AB incident at an angle I on the surface MN, we can do so by referring to the figure.
• Suppose, v is the speed of the wave in the medium and t is the wavefront's transit period between points B and C
• Then, BC = vt
• Let CE be the tangent plane to the sphere drawn from C,
• Now, AE = BC = vt
• Now let's think about the triangles EAC and BAC. They are congruent, as we can see, hence the angles I and r would be equal.
• Thus, the law of reflection is demonstrated.

Thus, In accordance with the Huygens principle, each wavefront point is the origin of a secondary disturbance, and wavelets originating from these sites propagate outward at the speed of the wave.

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