Irodov Problem 5.144

Physics · mechanics · optics

Problem

A spectrograph's trihedral prism is manufactured from glass whose refractive index varies with wavelength as n = A + where A and B are constants, with B being equal to 0.010 1.tra2. Making use of the formula from the foregoing problem, find: (a) how the resolving power of the prism depends on k; calculate the value of kin in the vicinity of ki = 434 nm and 21,2 = 656 nm if the width of the prism's base is b = 5.0 cm; (b) the width of the prism's base capable of resolving the yellow doublet of sodium (589.0 and 589.6 nm).

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