Which of the following series lie in the visible region?

Explanation

Four of the Balmer lines are in the technically visible part of the spectrum, with wavelengths between 400nm−700nm.The Lyman, Balmer, Paschen, and Pfund series are terms used to describe different series of spectral lines in the emission spectrum of hydrogen and other elements. These series correspond to transitions of electrons between different energy levels within the atom.1. **Lyman Series:** The Lyman series is a series of spectral lines in the ultraviolet region of the electromagnetic spectrum. It corresponds to transitions of electrons from higher energy levels to the n = 1 energy level (ground state) of the hydrogen atom. The lines in this series are named after the scientist Theodore Lyman who studied them.2. **Balmer Series:** The Balmer series is a series of spectral lines in the visible region of the electromagnetic spectrum. It corresponds to transitions of electrons from higher energy levels to the n = 2 energy level of the hydrogen atom. The lines in this series were discovered by Johann Balmer.3. **Paschen Series:** The Paschen series is a series of spectral lines in the infrared region of the electromagnetic spectrum. It corresponds to transitions of electrons from higher energy levels to the n = 3 energy level of the hydrogen atom. The lines in this series were studied by Friedrich Paschen.4. **Pfund Series:** The Pfund series is a series of spectral lines in the infrared region of the electromagnetic spectrum. It corresponds to transitions of electrons from higher energy levels to the n = 4 energy level of the hydrogen atom. The lines in this series were observed by August Herman Pfund.These series of spectral lines occur because of the quantized nature of energy levels in atoms. When electrons transition from higher energy levels to lower energy levels, they emit photons of specific energies, which correspond to specific wavelengths or frequencies of light. Each series corresponds to transitions ending at a specific lower energy level, and the lines within each series represent different possible paths for electrons to take while transitioning to that level.These spectral series provided crucial insights into the quantization of energy in atoms and played a significant role in the development of quantum mechanics.