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 \(=1.0973\times {10}^{7}{\mathrm{m}}^{-1}\) )

[JEE Main 2026, 5 Apr (Shift 1)]

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 \(=1.0973\times {10}^{7}{\mathrm{m}}^{-1}\) )

[JEE Main 2026, 5 Apr (Shift 1)]

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