**Velocity of the electron in the orbit**

We know that according to Bohr’s atomic model, electrons
revolve in specified orbits. These orbits are called stationery orbits. When
the electron is in that orbit, it neither loose energy nor gain that energy.
The electron in this orbit will have a specific velocity and we can derive the
equation for the velocity.

According to second postulate the angular momentum of the
electron is integral multiples of a constant. This number which is an integral
multiple is actually called as principal quantum number. Taking this concept
into consideration we can write the equation for the velocity of the electron
in that terms. It can be mathematically proved that velocity of the electron in
any orbit is independent of mass of electron. It is directly proportional to
atomic number and is inversely proportional to principal quantum number. We can
calculate the velocity of the electron in the first orbit by writing atomic
number as well as the principal quantum member equal to 1. The expression for
the velocity is derived as shown below.

**Time period of the electron in the orbit**

As the electron is revolving the in a circular path, it take
specific time to complete one rotation. This specific time is called time
period. We can derive the equation for the time period by writing a small
relation between linear velocity and the angular velocity of the electron. The
derivation is as shown below. It is proved that time period of the electron is
directly proportional to cube of the principal quantum number and inversely
proportional to Squire of the atomic number.

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