a. A grating spectrograph is to be used in first order. If crown glass optics is used in bringing the light to the entrance slit, what is the first wavelength in the spectrum that may contain second-order lines? If the optics is quartz, how does this change? Assume that the absorption cutoff is 350 nm for crown glass and 180 nm for quartz.
b. At what angle of diffraction does the beginning of overlap occur in each case for a grating of 1200 grooves/mm?
c. What is the free spectral range for first and second orders in each case?
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