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Q.Explain the construction of a spherical wavefront by using Huygens' principle.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2024Subjective· 2mImportance★★★★★
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Huygens' construction for a point source radiating spherical waves.

A point source SS emits light uniformly in all directions, so at any instant the locus of points that have been reached by disturbance for the same time forms a sphere centred at SS — this is a spherical wavefront.

According to Huygens' principle, every point on this wavefront (of radius rr at time tt) becomes a source of new secondary wavelets, which spread out with the same speed vv as the original wave. After a further time interval Δt\Delta t, each secondary wavelet has radius vΔtv\Delta t; the surface tangent to all these secondary wavelets (the "envelope") is the new wavefront, now a sphere of radius r+vΔtr+v\Delta t, still centred at SS. Repeating this construction at successive instants generates the sequence …

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