\(\frac{1}{\lambda_{2}}= R \left[\frac{1}{3^{2}}-\frac{1}{4^{2}}\right]\)
\(\frac{\lambda_{1}}{\lambda_{2}}=\frac{\left[\frac{1}{9}-\frac{1}{16}\right]}{\left[1-\frac{1}{16}\right]}=\frac{7}{9 \times 15}\)
\(\frac{\lambda_{1}}{\lambda_{2}}=\frac{7}{135}\)