Find the de Broglie wavelength of an electron if its kinetic energy is is orbiting in first excited state of hydrogen.

Explanation

To find the de Broglie wavelength of an electron in the first excited state of hydrogen, we can follow these steps:

### Step 1: Determine the kinetic energy of the electron in the first excited state of hydrogen.

The total energy \( E \) of an electron in the nth orbit of a hydrogen atom is given by the formula:

\[
E_n = -\frac{13.6 \, \text{eV}}{n^2}
...