e$)(3$ Points$)$ What is the smallest amount of

vibrational energy that can be added to this

system? $E=$

$eV$

f$)(5$ Points$)$ What is the wavelength of the

smallest energy photon emitted by this system?

$=$

$[$m$]$

g$)(3$ Points$)$ If the stiffness of the spring

increases, the wavelength calculated in the

previous part lncreases the given is not

decreases sufficient

h$)(2$ Points$)$ If the mass increases, the energy gap

between successive energy levels

i$)(5$ Points$)$ What should the stiffness of the

spring be$,$ so that the transition from the $3$rd

excited state to the $2$ nd excited state emits a

photon with energy $2\mathrm{.}5eV?k_s=$

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