# Hydrogen gas absorbs light of wavelength 103 nm. Afterward, what

Hydrogen gas absorbs light of wavelength 103 nm. Afterward, what wavelengths are seen in the emission spectrum?
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Lea Johnson
Step 1
Let the absorbed wavelength by the hydrogen gas can be

Therefore, the energy absorbed is

And the ground state energy of the hydrogen is -13.6 eV
Step 2
Therefore, to find the value of n we will use the following method
$\left(\frac{-13.6}{{n}^{2}}\right)-\left(\frac{-13.6}{{1}^{2}}\right)=12.05\phantom{\rule{0ex}{0ex}}⇒n=\sqrt{\frac{13.6}{1.55}}\phantom{\rule{0ex}{0ex}}=2.96\phantom{\rule{0ex}{0ex}}\approx 3\phantom{\rule{0ex}{0ex}}\therefore n=3$
Step 3
Therefore, the electron is jumping from n =3 to n = 1 and the corresponding wave lengths can be calculated as follows
Now the line corresponding to ${n}_{2}=3$ to ${n}_{1}=1$ is the first line , its wave length is maximum
That is,

Step 4
Similarly, the minimum wavelength is