A miniature spectrometer used for chemical analysis has a diffraction grating wi

Question

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 m apart in the first-order spectrum.What is the resolution of the spectrometer at a wavelength of 550 nm ? That is, if two distinct wavelengths can barely be distinguished, one of them being 550 nm , what is the wavelength difference between the two? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Resolution of spectrometer is lambda/(delta lambda)

Resolution of given spectrometer is = 550nm/30micro m =0.018

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