The limiting line in Balmer series will have a frequency of (Rydberg constant, R_ =3.29 10¹⁵ cycles / s )

Step-by-step solution

v = 1 =R_H Z ( 1 n₁^2 - 1 n₂^2 ) In Balmer series n₁=2 & n₂=3,4,5 ... Last line of the spectrum is called series limit. Limiting line is the line of shortest wavelength and high energy when n₂= aligned v = & 1 = R_H n₁^2 = 3.29 10¹⁵ 2^2 = 3.29 10¹⁵ 4 & =8.22 10¹⁴ ~s ⁻¹ aligned