Let $v_1$ be the frequency of series limit of Lyman series,  $v_2$ the frequency of the first line of Lyman series and $v_3$ the frequency of series limit of Balmer series. Then which of the following is correct?

Series limit means, the shortest possible wavelength (maximum photon energy) and first line means the largest possible wavelength (minimum photon energy) in the series

$\mathrm{v}=\mathrm{C}\left[\frac{1}{{\mathrm{n}}^2}-\frac{1}{{\mathrm{m}}^2}\right]$            (where C is a constant)

For series limit of Lyman series: $\mathrm{n}=1,\mathrm{m}=\mathrm{\infty },\therefore {\mathrm{v}}_1=\mathrm{C}$

For first line of Lyman series: $\mathrm{n}=1,\mathrm{m}=2,\therefore {\mathrm{v}}_2=3\mathrm{C}/4$

For series limit of Balmer series: $\mathrm{n}=2,\mathrm{m}=\mathrm{\infty }, \therefore {\mathrm{v}}_3=\mathrm{C}/4$