## 6) The electron volt (eV) is a convenient unit of energy for expressing atomic-scale energies. It is the amount of energy that an electron g

Question

6) The electron volt (eV) is a convenient unit of energy for expressing atomic-scale energies. It is the amount of energy that an electron gains when subjected to a potential of 1 volt; 1 eV = 1.602 × 10–19 J. Using the Bohr model, determine the energy, in electron volts, of the photon produced when an electron in a hydrogen atom moves from the orbit with n = 5 to the orbit with n = 2. Show your calculations.

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3 years 2021-07-24T08:52:51+00:00 1 Answers 83 views 0

The energy of the photon is

Explanation:

From the question we are told that

The first orbit is

The second orbit is

According to  Bohr model

The energy of difference of the electron as it moves from on orbital to another is mathematically represented as

Where k is a constant which has a value of

So

Now we are told from the question that

so      x eV  =

Therefore