We are asked to calculate the wavelength of light that would make an electron transition from n=1 to n=3.

For this problem we would use the **Balmer equation: **

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda}}{\mathbf{=}}{\mathbf{}}{\mathit{R}}\left(\frac{\mathbf{1}}{{{\mathbf{n}}_{\mathbf{f}}}^{\mathbf{2}}}\mathbf{}\mathbf{-}\mathbf{}\frac{\mathbf{1}}{{{\mathbf{n}}_{\mathbf{i}}}^{\mathbf{2}}}\right)}$

Where:

λ = wavelength (m)

R = 1.0974 x 10^{7} m^{-1}

n_{f} = final energy level

n_{i} = intial energy level

Calculate the wavelength of light that would cause an electron to transition from *n* = 1 to *n* = 3 in the hydrogen atom.

A) 103 nm

B) 136 nm

C) 646 nm

D) 155 nm

E) 971 nm

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