Derive an expression for the radius of `n^(th)` Bohr’s orbit in Hydrogen atom.

Explanation

To derive the expression for the radius of the \( n^{th} \) Bohr orbit in a hydrogen atom, we can follow these steps:

### Step 1: Understand the Forces Acting on the Electron
In a hydrogen atom, an electron revolves around a nucleus (proton) due to the electrostatic force of attraction. The forces acting on the electron are:
- **Electrostatic Force (F_e)**: This is the force of attraction between the positively charged nucleus and the negatively charged electron.
- **Centrifugal Force (F_c)**: This is the apparent force that acts outward on the electron when it is in circular motion.

### Step 2: Write the Expression for Electrostatic Force
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