What Is the Shortest Wavelength of a Photon That Can

Multiple Choice

What is the shortest wavelength of a photon that can be emitted by a hydrogen atom, for which the initial state is $n = 3 ? \left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right)$

A) $103 \mathrm {~nm}$
B) $950 \mathrm {~nm}$
C) $822 \mathrm {~nm}$
D) $91.4 \mathrm {~nm}$
E) $850 \mathrm {~nm}$