\(\Rightarrow hf = {W_A} + {K_A}\) ….\(.(ii)\)
and \(2hf = {W_B} + {K_B} = 2{W_A} + {K_B}\) \(\left( {\because \,\,\frac{{{W_A}}}{{{W_B}}} = \frac{1}{2}} \right)\)
Dividing equation \((i)\) by \((ii)\) \(\frac{1}{2} = \frac{{{W_A} + {K_A}}}{{2{W_A} + {K_B}}}\)
\(\Rightarrow \frac{{{K_A}}}{{{K_B}}} = \frac{1}{2}\)