Employin Thomson's model, calculate the radius of a hydrogen atom and wavelength of emitted light if the ionization energy of the atom is known to be equal to `E= 13.6 eV`

Explanation

To solve the problem of calculating the radius of a hydrogen atom and the wavelength of emitted light using Thomson's model, we will follow these steps:

### Step 1: Calculate the Radius of the Hydrogen Atom

1. **Understanding Ionization Energy**: The ionization energy (E) of hydrogen is given as 13.6 eV. This is the energy required to remove the electron from the atom.

2. **Potential Energy Calculation**: According to Thomson's model, the potential energy (U) of an electron in a hydrogen atom can be expressed as:
\[
...