A Certain Crystal Has a Spacing Of $0.442 \mathrm {~nm}$ Between Atoms

Multiple Choice

A certain crystal has a spacing of $0.442 \mathrm {~nm}$ between atoms. A beam of neutrons moving with a speed of $1640 \mathrm {~m} / \mathrm { s }$ perpendicular to the surface is diffracted as it passes through the crystal. What is the angle from the central maximum to the next interference maximum? ( $m$ neutron $= 1.675 \times$ $\left. 10 ^ { - 27 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

A) $21.0 ^ { \circ }$
B) $90.0 ^ { \circ }$
C) $33.1 ^ { \circ }$
D) $17.0 ^ { \circ }$
E) $60.0 ^ { \circ }$