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Wave Nature Of Light: Huygens Principle

Question
ICSEENIPH12029756

What is the shape of the wavefront diverging from a point source of light?

Solution

Spherical

Question
ICSEENIPH12029797

White light is passed through sodium vapours contained in a thin walled glass flask and the transmitted light is examined with the help of a spectrometer. The spectrum so obtained is:
  • Absorption spectrum 
  • Solar Spectrum
  • Band Spectrum 
  • Continuous Spectrum

Solution

A.

Absorption spectrum 

Question
ICSEENIPH12029823

On the basis of Huygen’s wave theory, prove Snell’s law of refraction of light. Draw a neat and lebelled diagram. (Postulates of Huygen’s wave theory not required).

Solution

On the basis of Huygen's wave theory, the laws of refraction
WiredFaculty

Given : AEB is the incident wave front and DGC be the refracted wavefront.

BC = V1t  V1 = velocity of light in medium 1.

AD = V2t V2 = velocity of light in medium 2.
i) Existence of the refracted wave front DGC
BC over straight V subscript 1 equals fraction numerator E F over denominator V subscript 1 end fraction plus fraction numerator F G over denominator V subscript 2 end fraction 
ii) fraction numerator sin space straight i over denominator sin space straight r end fraction space equals space V subscript 1 over V subscript 2 

Construction : From the point F a perpendicular FH is dropped.

Proof: ΔABC + ΔFHC [By simple geometry these triangles are similar (A.A.A.)]
WiredFaculty 

Question
ICSEENIPH12029855

State any one postulate of Huygen’s wave theory.

Solution

Huygen's wave theory states that every particle of the medium situated on the wavefront acts as a new wave source from which the fresh wave originates. These waves are called secondary wavelets.