Diffraction grating with combination light

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SUMMARY

The discussion focuses on the behavior of light passing through a diffraction grating with 6000 lines/cm, specifically analyzing the fringe appearance for green and orange light. At the central maximum (m = 0), both wavelengths combine, resulting in increased intensity compared to other fringes, which will display either green or orange light. The participant correctly identifies that the central maximum will have double the intensity due to the superposition of two wavelengths. The discussion emphasizes the importance of understanding the superposition principle in this context.

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Green and orange light pass through a diffraction grating that contains 6000 lines/cm. Compare the appearance of the fringe at m = 0 with all the others.

So far I've only dealt with light with one wavelength, so I just want to make sure I have the right thought process here for two wavelengths.

Where m = 0 there is no diffraction, so we should see a combination of green and orange light there, while the other fringes will be either green or orange. With one wavelength, the intensity of all of the fringes is the same (if I'm not mistaken). With two wavelengths, the central maximum will have twice the intensity as the others, because it have 2 wavelengths striking it instead of 1. Then with 3 wavelengths, the central maximum will have three times the intensity, and so on.

Do I have the right idea here?
 
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That's the right way to go - it's the superposition principle.
You have not been told the relative intensities of the green and orange light though.
 
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