An equilateral prism of dense barium crown glass is used in a spectroscope. Its refractive index varies with wavelength, as given in the table:
Nm | n |
656.3 | 1.63461 |
587.6 | 1.63810 |
486.1 | 1.64611 |
a. Determine the minimum angle of deviation for sodium light of 589.3 nm.
b. Determine the dispersive power of the prism.
c. Determine the Cauchy constants A and B in the long wavelength region; from the Cauchy relation, find the dispersion of the prism at 656.3 nm.
d. Determine the minimum base length of the prism if it is to resolve the hydrogen doublet at 656.2716- and 656.2852- nm wavelengths. Is the project practical?
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