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8.1   FROM THE UNIVERSE TO THE ATOM

        STRUCTURE OF THE ATOM   

 

P81 012

Nineteenth century physicists noted that for simple gases, the frequency of any spectral line was always equal to the sum or differences of the frequencies of other spectral lines for the same gas. Explain this fact using Bohr’s model of the atom.

 

 

View solution below only after you have completed answering the question. The solution is not in a form that you would answer in an examination. The answers are often in more detail to help improve your appreciation and understanding of the physics.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution

Bohr proposed a model where an electron in orbit around the positive nucleus can have only a specific energy. For hydrogen atoms, the allowed energies are described by a set of energy levels given by the quantum number n = 1, 2, 3, … . Transitions between energy levels could occur by the atom absorbing or emitting energy. The amount of energy released or absorbed was given by . This energy corresponds to the frequency of the radiation emitted of absorbed . For example, consider three energy levels for an orbiting electron.