Question

Consider a model of a hydrogen atom in which an electron is in a circular orbit of radius r = 5.89×10-11 m around a stationary proton. What is the radius of the circular orbit of the electron in meters?

Answer 1

The given radius of the electron's circular orbit in the hydrogen atom model is 5.89× 10^-11 m, differing from the Bohr radius of 5.292 x 10^-11 m for the ground state.

Step-by-step explanation:

The radius of the circular orbit of the electron in a hydrogen atom model can be determined using the Bohr model. The Bohr radius (a0) is a physical constant that represents the most probable radius for the electron in the ground state of the hydrogen atom. According to the Bohr model, the radius is 5.292 × 10-11 m for hydrogen in its ground state. However, the question states the radius as 5.89× 10-11 m, which is different from the standard Bohr radius and would imply an excited state or a different model being referenced.