Answer :
The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.
What is the energy of the hydrogen atom?
We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.
We now have;
1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])
λ = wavelength
RH = Rydberg constant
The initial and the final levels are also shown therefore;
1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)
1/λ= 1.097 * 10^7 (0.11 - 0.0625)
λ=1.92 * 10^-6 m
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