In hydrogen atom an electron jumps from state \(i\) to \(f\). Radius of path of electron in state \(i\) and \(f\) are \(r_i\) and \(r_f\) respectively such that \[ \frac{r_i}{r_f}=\frac{4}{1} \] If Rydberg constant \(R = 1.0976\times10^7\ \text{m^{-1}\), find wavelength of emitted photon (in \(\text{\AA}\)). (\(r_i\) and \(r_f\) are minimum possible radius.)}