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Grade 12Wave Motion

a diffraction grating used at normal incidence gives a yellow line,λ=5750å in a certain spectral order superimposed on a blue line,λ=4600å of next higher order. if the angle of diffraction is 30°,what is the spacing between the grating line?

Profile image of Abdillahi Khamis
9 Years agoGrade 12
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1 Answer

Profile image of Dona Elizabeth
5 Years ago
We have sin30°=nN5750×10^-10..... (1)
Sin30°=nN4600×0^-10.....(2)
Equating we get n=4
Substitute values of n in equation (1)
We get N=217,391 lines per meter.
For finding spacing between lines
d=1/N
d=4.60 meter