Taking into account the motion of the nucleus of a hydrogen atom , find the expressions for the electron's binding energy in the ground state and for the Rydberg constant. How much (in percent) do the binding energy and the Rydberg constant , obtained without taking into account corresponding values of these of these quantities?

Explanation

To solve the problem of finding the expressions for the electron's binding energy in the ground state and for the Rydberg constant, while considering the motion of the nucleus of a hydrogen atom, we will follow these steps:

### Step 1: Understanding the Binding Energy in the Ground State

The binding energy (E) of an electron in a hydrogen atom can be expressed using the formula:

\[
E = -\frac{2 \pi^2 k^2 e^4 \mu}{h^2 n^2}
...