Atomic Physics

In this hypothetical world, we assume that the angular momentum of electrons in a hydrogen atom is quantized to even integral multiples of , instead of integral multiples of as in Bohr's model. This affects the allowed energy levels and, consequently, the wavelengths of light emitted. Using Bohr's model, the energy levels of the hydrogen atom are given by the formula: In the hypothetical world, this quantization would result in modified energy levels. However, the largest wavelength emitted corresponds to the transition from the highest possible energy level to the second-highest level. This transition will give the longest wavelength, which lies in the visible range. Given the value , and the conditions stated, the largest possible wavelength for hydrogen atoms in the visible range is: