Answer :

We know from Rydberg’s equation for a hydrogen atom (Z=1) the wavelength λ of emission spectrum, when electrons move from n₂ energy level to n₁ energy level, is given by,



For the difference in the series limit (last line) of Lyman series and Balmer series.



This is because n₁=1 when we are considering Lyman Series and n₁=2 when we are considering Balmer Series.


For the first line of Lyman Series,



Thus, we can see in both cases the value of 1/λ is same. So frequency (c/λ, c=speed of light=constant) will also be same for both cases.


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