Obtain the first Bohr radius and the ground state energy of a muonic hydrogen atom (i.e., an atom in which a negatively charged muon `(mu)` of mass about `207m_e` revolves around a proton).

Explanation

To find the first Bohr radius and the ground state energy of a muonic hydrogen atom, we can follow these steps:

### Step 1: Understand the relationship between the radii of the electron and muon orbits.
According to Bohr's model, the radius of the orbit is inversely proportional to the mass of the revolving particle. Thus, we can relate the radius of the muon orbit \( R_\mu \) to the radius of the electron orbit \( R_e \) using the following formula:

\[ \frac{R_e}{R_\mu} = \frac{m_e}{m_\mu} \]
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