A miniature spectrometer used for chemical analysis has a diffraction grating with 800 slits/mm set 25.0 mm in front of the detector “screen.” The detector can barely distinguish two bright lines that are 30 μm apart in the first-order spectrum. What is the resolution of the spectrometer at a wavelength of600 nm? That is, if two distinct wavelengths can barely be distinguished, one of them being 600.0 nm, what is the wavelength difference Δλ between the two?

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A miniature spectrometer used for chemical analysis has a diffraction grating with 800 slits/mm set 25.0 mm in front of the detector “screen.” The detector can barely distinguish two bright lines that are 30 μm apart in the first-order spectrum. What is the resolution of the spectrometer at a wavelength of
600 nm? That is, if two distinct wavelengths can barely be distinguished, one of them being 600.0 nm, what is the wavelength difference Δλ between the two?

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