(adsbygoogle = window.adsbygoogle || []).push({}); this problem is killing me!! [calculation of electron transition]

i've been trying to solve this problem.. the answer should be 7.. my answer is 0.7 !!

What is the value of n_i for an electron that emits a photon of wavelength 93.14 nm when it returns to the ground state in the H atom?

my solution..

n_f=1

λ=93.14 nm×(10^(-9) m)/(1 nm)=93.14×10^(-9) m

∆E=hν=hc/λ=(6.63×10^(-34)×3.00×10^8)/(93.14×10^(-9))≈2.14×10^(-18)

∆E=-2.18×10^(-18) (1/(n_f^2 )-1/(n_i^2 ))

2.14×10^(-18)=-2.18×10^(-18) (1/1^2 -1/(n_i^2 ))

-2.14/2.18=1-1/(n_i^2 )

1.982= 1/(n_i^2 )

n_i^2=0.5045

n_i=√0.5045≈0.7

n_i = n initial

n_f = n final

λ = wavelength ( lambda )

∆E = energy of the transition

h = plank's constant

ν = frequency ( nu )

c = speed of light

if reading the solution is an issue.. just past it in microsoft word and activate the equation mode..

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# This problem is killing me [calculation of electron transition]

**Physics Forums | Science Articles, Homework Help, Discussion**