A hydrogen atom in the state (energy ) relaxes to the ground state ( ) by first…

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

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}

(b)

243\text{ nm}

(c)

122\text{ nm}

(d)

486\text{ nm}