We’re being asked to determine **which energy gap** gives the **longest wavelength**. Recall that starting from n = 1, the distance between each energy level gets smaller as shown below:

Consider the following portion of the energy-level diagram for hydrogen:

n = 4 –0.1361 × 10 –18 J

n = 3 –0.2420 × 10 –18 J

n = 2 –0.5445 × 10 –18 J

n = 1 –2.178 × 10 –18 J

For which of the following transitions does the light emitted have the longest wavelength?

A. n = 4 to n = 1

B. n = 4 to n = 2

C. n = 4 to n = 3

D. n = 3 to n = 2

E. n = 2 to n = 1

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