What are the (a) energy. (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 3 to a state with n = 1?

Explanation

To solve the problem of determining the energy, momentum, and wavelength of the photon emitted when a hydrogen atom transitions from the n=3 state to the n=1 state, we will follow these steps:

### Step 1: Calculate the Energy of the Photon Emitted

1. **Determine the energy levels**:
The energy of an electron in a hydrogen atom at a given principal quantum number \( n \) is given by the formula:
\[
E_n = -\frac{13.6 \, \text{eV}}{n^2}
...