Hydrogen atom is formod with ono proton and one electron. In ground state, the electron revolves around the proton in an orbit of radius 0.53 angstrom. Find the speed of the electron in the ground state of a hydrogen atom. Speed that we get is usually infinitely large in comparison to the usual speeds and also comparable to the speed of light to a certain extent. Is it all right to assume that the mass of the electron is equal to `9.1 xx 10^(-31)` kg? We know that mass changes with speed.

Explanation

To find the speed of the electron in the ground state of a hydrogen atom, we can use the concept of centripetal force and the electrostatic force of attraction between the proton and the electron. Here are the steps to solve the problem:

### Step 1: Understand the Forces Acting on the Electron
The electron is in circular motion around the proton due to the electrostatic force of attraction. The centripetal force required to keep the electron in circular motion is provided by this electrostatic force.

### Step 2: Write Down the Formula for Electrostatic Force
The electrostatic force (Coulomb's Law) between the proton and the electron is given by:
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