Atomic StructureHard

Question

The difference between the longest wavelength line of the Balmer series and shortest wavelength line of the Lyman series for a hydrogenic atom (Atomic
number Z) equal to ∆λ. The value of the Rydberg constant for the given atom is :

Options

A.

5311∆λ.Z2

B.

536Z2∆λ

C.

3151∆λ.Z2

D.

none

Solution

∆λ=λ1-λ2=1R1(2)2-132z2-1R1-0z2On solvingR=3151∆λ.Z2

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