+244 A hydrogen atom has a single electron in its n = 2 excited state. It absorbs a photon with energy 8.9 eV, which frees the electron from the atom. What is the energy of the resulting free electron?
A.7.9 eV
B.5.5 eV
C.8.9 eV
D.12.3 eV
E=vh, where v=frequency, h=Planck's constant
Convert 8.9 eV into Joules =1.43×10^-18 J (joules)
1.43 x 10^-18=v x 6.63 x 10^-34
v= 1.43×10^-18 J / [6.63 x 10^-34]
v=2.157 x 10^15 hertz-the frequency of the photon.
E=2.157 x 10^14 x 6.63 x 10^-34
E=1.43 x 10^-18 Joules
E=8.9eV - the energy of the freed electron!. Or "C"
