Explanation:
\(hv = {K_0}\left[ {\frac{1}{{{n_1}^2}} - \frac{1}{{{n_2}^2}}} \right]\)
For Lyman series series limit \({n_2} = \infty ,{n_1} = 1\)
\(h{v_L} = {K_0}[1]\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\)
for-p-fund series
For p-fund series limit \({n_2} = \infty ,{n_1} = 5\)
\(h{v_p} = {K_0}\left[ {\frac{1}{{25}}} \right]\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)\)
From equation’s (1) and (2)
\(\frac{{{v_L}}}{{{v_p}}} = \frac{{25}}{1} \Rightarrow {v_p} = {v_L}/25\)