Problem $1(10$ points$)$ In a collection o

microscopic oscillators, the temperature is high

enough that the ground state and the first two

excited states are occupied.

a$)(4$ points$)$ Which stands to all the possible

energies of the photons emitted by these

oscillators:

$0\mathrm{.}5{}_0,{}_0$

${}_0,2{}_0$

$0\mathrm{.}5{}_0,2{}_0$

b$)(6$ points$)$ Find the values of all the possible

energies of photons emitted by such oscillators in

$eV$ if the lowest energy photon observed in the

vibrational spectrum is $0\mathrm{.}029eV.$

Possible energies are :

$eV,$

eV a$=9\mathrm{.}8$ m$/$s$^2$ if need $,$ need all steps and correct answer please to put thumbs up