
Concept explainers
The diagram showing all possible transitions between the levels of an imaginary atom, having energy

Answer to Problem 41Q
Solution:
The diagram representing all possible transitions is shown below. The wavelengths for the energy differences
Explanation of Solution
Given data:
The energy values of the given atomic levels are
Formula used:
Planck’s quantum theory relates the energy difference between the transition levels to the frequency of the released
Or,
Here,
Explanation:
The given atom has only three energy levels. Let, state 1 represents the level with energy
Write the expression relating the energy and wavelength of the photon:
Here,
Estimate the energy difference of the levels.
The difference between first two energy states is,
Similarly,
And,
Rewrite the above expression for energy difference for wavelength.
Substitute
Substitute
All the possible transitions are shown in the following diagram.
The absorption or emission transition of visible lights are between the states 2 and 3 and 1 and 3 as the wavelength for these transitions lie in the visible region.
Conclusion:
The energy level diagram is shown above. The values of energy of the photons are
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