Question #120433
What would be your specifications for the plane diffraction grating to view the mercury spectral line 577nm of the third order? Explain
1
Expert's answer
2020-06-08T10:09:48-0400

As per the question,

A large number of narrow rectangular slits having width in the order of the wave length of light and arranged side by side with equal opaque spaces is called a plane transmission diffraction grating. It is an extension of diffraction due to double slit.

wavelength of wave is given (λ)=577nm(\lambda)=577nm

m=3

We know that dsinθ=mλd\sin \theta=m\lambda

dsinθ=577×109×3m\Rightarrow d\sin \theta=577\times 10^{-9}\times 3m

dsinθ=1731×109m\Rightarrow d\sin\theta=1731\times 10^{-9}m

dsinθ=1.731×106md\sin \theta=1.731\times 10^{-6}m

dsinθ=1.731μmd\sin \theta=1.731\mu m


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