An isolated atom has the following bound‐state energies: ground state and an excited state

PHYSICS · Multi-part · CBSE · Physics · Atoms · Atoms

Problem

An isolated atom has the following bound‐state energies: ground state

E_0=-5.0\,\text{eV}

and an excited state

E_2=-0.5\,\text{eV}

. A third state at

E_1=-2.0\,\text{eV}

lies between them. The atom is initially in state

E_2

and returns to the ground state by first dropping to

E_1

and then to

E_0

, emitting a photon at each step. Use

h=6.63\times10^{-34}\,\text{J\,s}

c=3.00\times10^{8}\,\text{m/s}

, and

1\,\text{eV}=1.60\times10^{-19}\,\text{J}

. (1) Calculate the wavelength of the photon emitted in the

E_2\to E_1

transition. (2) Calculate the wavelength of the photon emitted in the

E_1\to E_0

transition.