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678.


Problem 47.21 (RHK)


Thesodium doubletin the spectrum of sodium is a pair of lines with wavelengths 589.0 and 589.6 nm. We have to calculate the minimum number of rulings in a grating needed to resolve this doublet in the second-order spectrum.


Solution:           Click For PDF Version

The resolving power for a grating is given by the equation

where N is the number of rulings in the grating and m is the order of the grating spectra.

For the “sodium doublet”

,

and

.

Therefore, in order that the “sodium doublet” are resolved in the second order of the grating spectra, the minimum number of rulings in the grating has to be