(a) Calculate the kinetic energy and potential energy of the electron in the first orbit of hydrogen atom.
(b)Calculate the longest and shortest wavelength in the Balmer series of hydrogen atom.

Explanation

### Step-by-Step Solution

#### (a) Calculate the kinetic energy and potential energy of the electron in the first orbit of hydrogen atom.

1. **Determine the Energy of the Electron in the First Orbit**:
The formula for the energy of the electron in the nth orbit of a hydrogen atom is given by:
\[
E_n = -\frac{13.6 \, \text{eV}}{n^2}
...