A hypothetical atom has energy levels uniformly separated by 1.2 eV. At a temperature of 2000 K, what is the ratio of the number of atoms in the 13th excited state to the number in the 11th excited state?

Explanation

To find the ratio of the number of atoms in the 13th excited state to the number in the 11th excited state for a hypothetical atom with energy levels uniformly separated by 1.2 eV at a temperature of 2000 K, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Energy Levels**:
The energy levels are uniformly separated by 1.2 eV. Thus, the energy of the nth excited state can be expressed as:
\[
E_n = n \cdot 1.2 \, \text{eV}
...