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Question 27 of 36

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SAT Subject Test

The figure presents an electrical circuit with a battery in series with a resistor. The battery is on the left side of the circuit and is labeled with the emf symbol (the Greek letter epsilon). The resistor is on the right side of the circuit and is labeled R. On the top side of the circuit there is an arrow pointing toward the right that is labeled I.

The three lowest energy levels of an atom are shown above. An atom in the n equals 3 state can, in a single transition, spontaneously emit a photon having an energy of

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3 invisible times text  eV end text only

Correct Answer: 
No

4 invisible times text  eV end text only

Correct Answer: 
No

7 invisible times text  eV end text only

Correct Answer: 
No

4 invisible times text  eV end text or 7 invisible times text  eV end text only

Correct Answer: 
Yes

3 invisible times text  eV end text or 4 invisible times text  eV end text only

Correct Answer: 
No

The correct answer is 4 invisible times text eV end text or 7 invisible times text eV end text only. When the atom in the n equals 3 state makes just a single transition, it can end up in either the n equals 2 state or the n equals 1 state. The energy of the photon released is just the difference in the energy of the initial and final atomic states. In this case the photon energy is either 7 invisible times text eV-3 end text text  eV end text equals 4 invisible times text eV end text or 7 invisible times text eV end text minus 0 invisible times text eV end text equals 7 invisible times text eV end text.

Question Difficulty: 
hard