Please provide the exaplantion A hypothetical atom (not Hydrogen!) has four stat

Question

Please provide the exaplantion

A hypothetical atom (not Hydrogen!) has four states as shown.  Assume that we create a gaseous collection of many of these atoms, in which all the atoms have been excited to the n=4 state.

Which of the following atomic transitions will produce the photon with the longest wavelength?
(A) n = 2 to n = 1      
(B) n = 3 to n = 1      
(C) n = 3 to n = 2      
(D) n = 4 to n = 1     
(E) n = 4 to n = 3

A hypothetical atom (not Hydrogen!) has four states as shown. Assume that we create a gaseous collection of many of these atoms, in which all the atoms have been excited to the n=4 state.

Explanation / Answer

Longest Wavelength means Least energy Difference

As we can see the Energy level diagram you gave that difference between 4 and 3 is minimum.

So

(E) n = 4 to n = 3

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