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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?

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?

Grade:12

1 Answers

Dona Elizabeth
15 Points
2 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
 
 

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