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For a plane transmission grating, prove that

d sinθ = nλ ; n = 1,2,3 for bright band


Mumbai university > FE > SEM 2 > Applied Physics II

Marks: 5M

Year: Dec 2014,May 2014

1 Answer
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Consider a parallel beam of light incidented upon grating with grating element (d) and diffracted through angle (θ)

The path difference between adjacent amplitude vectors is :-

BC = (a + b)sin θ = d sin θ

For constructive interference

BC = nλ

d sinθ = nλ (n=1,2,3,...)

Hence proved

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