Which type of slitted sheet is better for decomposing non-monochromatic light?

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A denser slitted sheet is more effective for decomposing non-monochromatic light because it produces narrower diffraction patterns for each color, reducing the overlap of different order spectra. This results in clearer separation of colors, minimizing color addition and enhancing the visibility of the spectrum. In contrast, a less dense grating would create wider stripes, leading to more significant overlap and less distinct color separation. The discussion emphasizes the importance of grating density in achieving optimal diffraction outcomes. Ultimately, a denser grating is preferred for better spectral resolution.
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We had a lab on diffraction (Young's experience and more) and we are now asked what would be better to decompose a non-monochromatic light: a denser slitted sheet or a less dense one?

I really don't know how to solve this problem... it looks like I need more formulas than what I've currently got...

Any help is appreciated.
 
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Monochromatic light will produce a single diffraction maxima for each order of diffraction. (One on each side, that is.) Non-monochromatic light will produce a spectrum of maxima for each order.

So which grating would better keep different order spectra from overlapping?
 
I guess a dense grating would be better since we would get narrower stripes for each color thus minimizing overlapping and color addition... Am I right?
 

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