When a Diffraction Grating Having 5000 Lines/cmis Illuminated by Monochromatic $47.2 ^ { \circ }$

Multiple Choice

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is $47.2 ^ { \circ }$ . What is the wavelength of the light?

A) $367 \mathrm {~nm}$
B) $637 \mathrm {~nm}$
C) $183 \mathrm {~nm}$
D) $138 \mathrm {~nm}$