Problem: Consider the following portion of the energy-level diagram for hydrogen:n = 4   –0.1361 × 10 –18  Jn = 3   –0.2420 × 10 –18  Jn = 2   –0.5445 × 10 –18  Jn = 1   –2.178 × 10 –18  JFor which of the following transitions does the light emitted have the longest wavelength?A. n = 4 to n = 1B. n = 4 to n = 2C. n = 4 to n = 3D. n = 3 to n = 2E. n = 2 to n = 1

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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:



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Problem Details

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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