Suppose that a hydrogen atom makes a transition from a high-n state to a low-n state, emitting a photon in the process. Calculate the energy and wavelength of the photon for each of the following transitions: 2 → 1, 3 → 2, 4 → 2, 5 → 2.

Step 1</p>

A photon emitted during the transition from one state to another will carry an energy E equal to the difference between the energies of these two states. Knowing this, you can relate the energy of the photon with the frequency f through E=hf (h is Planck´s constant)

The energy for any state n , we get

We have to find the wavelength and energy of emitted photon during different transitions.

Step 3</p>

When the transition from 2 to 1

We have equation E=hf

We have relation between frequency and wavelength

Step 3</p>

When the transition from 3 to 2

We have equation E=hf

We have relation between frequency and wavelength