It is found experimentally that `13.6 eV` energy is required to separated a hydrogen atom into a proton and an electron. Compute the orbital radius and velocity of electron in a hydrogen atom.

Explanation

To solve the problem, we need to compute the orbital radius and velocity of the electron in a hydrogen atom given that the energy required to separate a hydrogen atom into a proton and an electron is 13.6 eV.

### Step 1: Convert Energy from eV to Joules
The energy given is in electron volts (eV), and we need to convert it to joules (J) using the conversion factor \(1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}\).

\[ E = 13.6 \text{ eV} \times 1.6 \times 10^{-19} \text{ J/eV} = 2.176 \times 10^{-18} \text{ J} \]
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