(a) Using the Bohr's model, calculate the speed of the electron in a hydrogen atom in the n=1,2 and 3 levels. (b) Calculate the orbital period in each of these levels.

Explanation

To solve the problem step by step, we will follow the instructions given in the video transcript and apply the Bohr model formulas for calculating the speed of the electron in a hydrogen atom and the orbital period for the first three energy levels (n=1, 2, 3).

### Part (a): Calculate the speed of the electron in hydrogen atom for n=1, 2, and 3 levels.

1. **Formula for Speed**:
The speed of the electron in the nth orbit is given by:
\[
v_n = \frac{c}{n \alpha}
...