Calculate the energy required to separate a hydrogen atom into a proton and an electron if the orbital radius is `5.3xx10^(-11)` m. Also calculate the velocity of the electron in a hydrogen atom.

Explanation

To solve the problem of calculating the energy required to separate a hydrogen atom into a proton and an electron and the velocity of the electron in a hydrogen atom, we can follow these steps:

### Step 1: Calculate the velocity of the electron in a hydrogen atom

1. **Identify the forces acting on the electron**: The electron is in circular motion around the proton due to the electrostatic force of attraction. This force can be equated to the centripetal force required for circular motion.

2. **Use Coulomb's Law for the electrostatic force**: The electrostatic force \( F \) between the proton and electron is given by:
\[
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