In the hydrogen atom, the electron makes a transition from the higher orbit \( (i) \) to a lower orbit \( (f) \). The ratio of the radius of the orbits in given by \( r_i : r_f = 16 : 4 \). The wavelength of photon emitted due to this transition is _____ \( \text{nm} \).
\( \text{(Given Rydberg constant} = 1.0973 \times 10^{7} / \text{m)} \)
