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Multiple Choice
Which of the electron transitions represents an example of absorption with the greatest energy?
A
n = 1 to n = 4
B
n = 2 to n =3
C
n = 6 to n = 7
D
n = 5 to n = 6
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1
Understand that electron transitions involve an electron moving between energy levels in an atom. Absorption occurs when an electron moves to a higher energy level, requiring energy input.
Recall that the energy difference between levels is given by the formula: E = -13.6 eV * (1/n_final^2 - 1/n_initial^2), where n_initial and n_final are the principal quantum numbers of the initial and final energy levels, respectively.
Recognize that the greater the difference between the initial and final energy levels (n_initial and n_final), the greater the energy absorbed.
Compare the given transitions: n = 1 to n = 4, n = 2 to n = 3, n = 6 to n = 7, and n = 5 to n = 6. Calculate the energy difference for each using the formula, focusing on the magnitude of the difference in 1/n^2 terms.
Identify that the transition with the largest energy difference corresponds to the greatest energy absorption. In this case, the transition from n = 1 to n = 4 involves the largest change in energy levels, indicating the greatest energy absorption.