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According to rydberg's equation 1/λ = RZ ² (1/n ₁ ² - 1/n ₂ ² )

λ is inversly proportional to n ²

therefore ..;;

λ1/λ2=n2 ² /n1 ²

As balmer series start from first line i.e, n1=2,n2=3,λ1=λ ,λ2=?

λ/λ2=3^2/2^2

λ/λ2=9/4

Therefore., wave length of second line in balmer series ,, λ2=4λ/9

Hope it helps !!!!!