The Lattice Spacing of the Principal Bragg Planes in Sodium $0.282 \mathrm {~nm}$

Multiple Choice

The lattice spacing of the principal Bragg planes in sodium chloride is $0.282 \mathrm {~nm}$ . For what wavelength of x-rays will the first order reflected beam diffract at $55 ^ { \circ }$ with respect to the normal to the crystal planes?

A) $0.662 \mathrm {~nm}$
B) $0.150 \mathrm {~nm}$
C) $0.530 \mathrm {~nm}$
D) $0.462 \mathrm {~nm}$
E) $0.323 \mathrm {~nm}$