CBSE Class 12 · 2019 · Wave OpticsShort Answer

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Define the term wavefront. Using Huygens' wave theory, verify the law of reflection.

Answer: A wavefront is the locus of points vibrating in the same phase; Huygens' construction gives .

Solution

the surface (locus) joining all points of a medium that are vibrating in the same phase at a given instant.
let a plane wavefront be incident at angle on a reflecting surface , the wave speed being . In time the disturbance from reaches (), while the secondary wavelet from spreads a radius ; the common tangent from is the reflected wavefront.

By the RHS rule the triangles are congruent, so , i.e.

Hence the angle of incidence equals the angle of reflection, and the incident ray, reflected ray and normal are coplanar.

CBSE Class 12 Board · 2019 · Subjective

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