Violet light (wavelength 5 410 nm) and red light

Chapter , Problem 51

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Violet light (wavelength 5 410 nm) and red light (wavelength 5 660 nm) lie at opposite ends of the visible spectrum. (a) For each wavelength, fi nd the angle u that locates the fi rst-order maximum produced by a grating with 3300 lines/cm. This grating converts a mixture of all colors between violet and red into a rainbow-like dispersion between the two angles. Repeat the calculation above for (b) the second-order maximum and (c) the third-order maximum. (d) From your results, decide whether there is an overlap between any of the rainbows and, if so, specify which orders overlap.

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