The line width is calculated as 121.6nm
Data;
This is used to calculate the wavelength of an electron when it moves from one state to another.
For Lyman series, n = 1
The energy difference in the two state transitioning are
[tex]n_2[/tex] = ∞
The formula is given thus;
[tex]\frac{1}{\lambda}= R(1(n_1)^2 - \frac{1}{(n_1)^2}.Z^2\\[/tex]
R = Rydberg's constant
Z = atomic number
Since the excited electron dropped from the 1st state to the ground state, the finest line of Lyman series would be
[tex]\frac{1}{\lambda} = R(1(1)^2 - \frac{1}{2^2}).1^2\\z=1\\\lambda = \frac{4}{3} * 912A^o\\\lambda = 121.6nm[/tex]
The line width is calculated as 121.6nm
Learn more Lyman series here;
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