Find the energy (in joules) of the photon that is emitted when the electron in a hydrogen atom undergoes a transition from the n = 8 energy level to produce a line in the Paschen series (with principle quantum number of 3).

The energy is

Explanation:

           From the question we are told that

              The energy level of the photon is  

Generally the spatial frequency() of this transition  is mathematically represented as

Where R is the Rydberg constant  with a value of

            is the principle quantum number for Paschen series with value given a s

            is the wavelength of the photon

Now substituting values

Now the energy of this photon is mathematically represented as

where h is the Planck's constant with value  

          c is the speed of light with value

Substituting values  

conservation of mass

mass before something happens = mass afterwards