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Q.What is the meaning of wavefront? Explain the laws of reflection by explaining Huygens' principle of wavefront. OR What is an LED? Explain its principle, construction and working.

Uttar Pradesh UpmspUP Board (UPMSP) Intermediate 2023Subjective· 5mImportance★★★★★
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A wavefront is a surface of constant phase; Huygens' secondary-wavelet construction reproduces the reflected wavefront and proves ∠i=∠r\angle i=\angle r.

Wavefront: The continuous locus of all particles of a medium that are vibrating in the same phase is called a wavefront. For a point source the wavefronts are spherical; far from the source they become plane. The direction of propagation (the ray) is always perpendicular to the wavefront.

Huygens' principle:

  1. Every point on a given wavefront acts as a fresh source of secondary disturbances, sending out secondary wavelets in all forward directions with the speed of the wave.
  2. The forward common tangent (envelope) to all these secondary wavelets, after a time tt, gives the new position of the wavefront.

Laws of reflection by Huygens' principle:

Let a plane wavefront ABAB be incident on a plane reflecting surface XYXY at angle ii. While the wavelet from BB travels to CC on the surface (distance BC=vtBC=v t), the point AA acts as a secondary source and sends a wavelet that, in the same time tt, reaches DD with radius AD=vtAD=v t. The reflected wavefront is the tangent CDCD from CC to the sphere of radius vtvt about AA.

 incident      normal      reflected
   \  A________|________ D  /
    \  \       |       /  /
     \  \  i   |   r  /  /
 ------B---\---+---/--C------- reflecting surface XY
``` …

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