According to classical physics, the concept of an electron orbiting the nucleus in a manner similar to a planet orbiting the sun is not applicable. In quantum mechanics, the behavior of electrons is described by wave functions and probability distributions rather than definite orbits.
However, if we consider the average time it takes for an electron in a hydrogen atom to complete one orbit, we can use the concept of the Bohr model. In the Bohr model, the electron is assumed to move in circular orbits around the nucleus. The time it takes for an electron to complete one orbit in the lowest energy state (known as the ground state) can be calculated.
Using the Bohr model, the time taken for an electron in the ground state of a hydrogen atom to complete one orbit is approximately 5.3 x 10^(-11) seconds, or 53 picoseconds.
It's important to note that this value is an approximation based on a simplified model and does not fully represent the complex behavior of electrons in atoms as described by quantum mechanics. The electron's behavior is better described by its wave-like nature and the probability distribution of finding the electron in different regions around the nucleus.