Photon Wavelength Calculation in Hydrogen Atom Transition
In the realm of atomic physics, the behavior of electrons in a hydrogen atom can be described using the Bohr model. According to this model, the allowed energy levels of an electron are quantized and can be described by the equation E_n = -13.6 eV/n2, where E_n is the energy of the level, and n is the principal quantum number, which can take positive integral values. When an electron transitions from a higher energy level (n_i) to a lower energy level (n_f), it emits a photon whose energy is equal to the difference between the two energy levels.
Calculate the wavelength of the photon emitted when an electron transitions from the n = 3 to n = 2 energy level. Use Planck's equation and the speed of light in a vacuum (c = 3 x 108 m/s) to arrive at your answer.