1.

Derive the law of reflection of light on the basis of Huygens wave theory.

Answer»

Solution :Law of REFLECTION :
(i) The incident wavefront AB, the reflected wavefront CD and the reflecting surface XY all the in the same plane.
(ii) Angle of INCIDENCE `i=/_PAN=90^(@)-/_NAB=/_BAC`
Angle of reflection `r=/_NAD=90^(@)-/_DAC=/_DCA`
In right angled TRIANGLES ABC and ADC
`/_B=/_D=90^(@)`

`BC=AD` and AC is common
`:.` The TWO triangles are congruent
`:./_BAC=/_DCA`
i.e., `i=r`
THUS the angle of incidence is equal to angle of reflection.


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