Calculate the energy associated with an electron moving from n = 2 to n = 4 level in Hydrogen, and what is the associated wavelength?

apple2017-05-31T07:35:34Z

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En= -ER/(n^2)
delta E=E2-E1= -ER/(n2^2)-( -ER/(n1^2))
n=number of energy level
En=electron energy in energy level number n
ER=rydberg energy constant=13.6 eV
1eV=1.6*10^( -19) jouls
delta E=( -13.6/16)-( -13.6/4)=2.55eV
=4.08*10^( -19) j

1/wave length=RH*(1/n1^2-1/n2^2)
RH=rydberg constant=0.0109
1/wave length=0.0109*(1/4-1/16)--------->wave length=500 nm