If the speed of an electron in a hydrogen atom becomes zero at all times, it would mean that the electron is at a complete standstill and has no motion. In this scenario, according to the principles of quantum mechanics, the electron would occupy a specific energy level or orbital known as the ground state.
The ground state of a hydrogen atom is the lowest energy level, designated as the 1s orbital. In the ground state, the electron is located closest to the nucleus and has the least amount of energy. It is important to note that even in the ground state, the electron does not remain stationary at a fixed position. Instead, it exists within a probability distribution, described by the wave function, which represents the likelihood of finding the electron in different regions around the nucleus.
In summary, if the speed of the electron in a hydrogen atom becomes zero, it would be in its lowest energy state, known as the ground state or the 1s orbital, but it would still exhibit a probability distribution around the nucleus rather than being localized at a specific point.