Two wavelengths λ and λ+Δλ (with Δλ<<λ ) are incident on a diffraction grating. Show that the angular separation between the spectral lines in the m th-order spectrum is Δθ=(d/m)2−λ2​Δλ​ where d is the slit spacing and m is the order number.

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Chapter4: Diffraction
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Problem 98AP: For white light (400nm700nm) falling normally on a diffraction grating, show that the second and...
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Two wavelengths λ and λ+Δλ (with Δλ<<λ ) are incident on a diffraction grating. Show that the angular separation between the spectral lines in the m th-order spectrum is
Δθ=(d/m)2−λ2​Δλ​
where d is the slit spacing and m is the order number.

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