Atoms and Nuclei: JEE Main 2026 Physics question

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 ______nm. (Given Rydberg constant $= 1.0973 \times 10^7$ /m)