A 400-Cm Wide Diffraction Grating with 650 Grooves Per Cm Is

A 4.00-cm wide diffraction grating with 650 grooves per cm is used to resolve two closely spaced lines (a doublet) in a spectrum.The doublet consists of two wavelengths, $\lambda$ _a = 629.8 nm and $\lambda$ _b = 630.2 nm.What fraction of the grating width needs to be illuminated in order to resolve these two lines in first order?

A) 31%
B) 41%
C) 51%
D) 61%
E) 71%

Correct Answer:

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