The Distance Between the Ruled Lines on a Diffraction Grating $1770 \mathrm {~nm}$

Multiple Choice

The distance between the ruled lines on a diffraction grating is $1770 \mathrm {~nm}$ . The grating is illuminated at normal incidence with a parallel beam of white light in the $400 \mathrm {~nm}$ to $700 \mathrm {~nm}$ wavelength band. What is the longest wavelength that appears in the third order spectrum?

A) $590 \mathrm {~nm}$
B) $570 \mathrm {~nm}$
C) $530 \mathrm {~nm}$
D) $610 \mathrm {~nm}$
E) $550 \mathrm {~nm}$