Final answer:
The radius of a hydrogen atom is principally dependent on the principal quantum number (n), determining the quantized orbits for an electron. While the Bohr model involves the electron mass in the calculation, atomic mass and electron configuration are not directly relevant for determining the radius of a hydrogen atom.
Step-by-step explanation:
When considering the factors that determine the radius of a hydrogen atom, one must consider the principles of quantum physics. In the case of the hydrogen atom, the radius can depend on several key factors. However, the principal quantum number (n) is the primary factor that dictates the quantized energy levels and therefore the probable distances at which an electron can be found from the nucleus. The other listed parameters, like atomic mass, electron mass, and electron configuration, while relevant to the atom's properties, are not directly used to determine the radius of the electron's orbit in a hydrogen atom.
The Bohr model calculates the radius of orbits in a hydrogen atom using a formula that involves the principal quantum number and certain constants (e.g., the electron mass, Planck's constant, permittivity of free space, and the charge of an electron). Though the electron mass is involved in the calculation of the radius via the Bohr radius, it is not independently a variable that the radius depends on. The atomic mass is not a relevant factor as we consider the hydrogen-like ions and the spectra related to hydrogen, focusing on the single electron in the atom with the nucleus having one proton. Finally, electron configuration typically refers to the distribution of electrons in an atom with more than one electron and is less relevant to the discussion of hydrogen, which has a single electron.
It is vital to understand that the radius of the electron's orbit increases with the square of the principal quantum number (n²), resulting in the quantization of orbits. Specifically, as the principal quantum number increases, the allowed orbits for the electron in a hydrogen atom become larger and are only those corresponding to n² times the Bohr radius, with no intermediate values.