Physics

Problem

A hydrogen atom in the

n=4

state (energy

E_4=-0.85\text{ eV}

) relaxes to the ground state (

E_1=-13.6\text{ eV}

) by first emitting a photon that brings it to the

n=2

state (

E_2=-3.40\text{ eV}

). The wavelength of this first photon is 486 nm. What is the wavelength of the second photon emitted when the atom transitions from

n=2

n=1

? a)

97\text{ nm}

243\text{ nm}

122\text{ nm}

486\text{ nm}