Consider the Bohr Model for the Hydrogen Atom $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right.$

Short Answer

Consider the Bohr model for the hydrogen atom. $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right.$ , $\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$
(a) How much energy (in eV) is needed to cause a transition of an electron from the second excited state to the third excited state?
(b) What wavelength photon just has enough energy to initiate the transition in (a)?