The Longest Wavelength of a Photon That Can Be Emitted $n = 3$

Multiple Choice

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

A) $625 \mathrm {~nm}$
B) $600 \mathrm {~nm}$
C) $658 \mathrm {~nm}$
D) $575 \mathrm {~nm}$
E) $550 \mathrm {~nm}$