please show me steps... Find the wavelength of light emitted by hydrogen atoms w

Question

please show me steps...

Find the wavelength of light emitted by hydrogen atoms when an electron makes this transition.

please show me steps... Find the wavelength of light emitted by hydrogen atoms when an electron makes this transition. When an electron makes a transition from the n=3 to the n=2 hydrogen atom Bohr orbit, the energy difference between these two orbits (3.0 10?19J) is given off in a photon of light. The relationship between the energy of a photon and its wavelength is given by E=hc/? , where E is the energy of the photon in J , h is Planck's constant (6.626 10?34J?s) , and c c is the speed of light (3.00 108m/s) .

Explanation / Answer

apply 1/L = R (1/n^2 -1/m^2)

1/L = 1.1e7 *(1/4-1/9)

1/L =0.1527 e7

L =   654.54 nm
--------------------------------
alsom as E = hc/L

L = 6.626e-34* 3e8/(654.54e-9)

L = 3.03*10^-19 J

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