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Which of the following electronic transitions in a hydrogen atom emits a photon of the highest energy?

A $n = 6 \to n = 2$
B $n = 3 \to n = 2$
C $n = 4 \to n = 3$
D $n = 2 \to n = 1$

Answer: D

Energy

\propto 1/ n_{f}^{2} - 1/ n_{i}^{2}

. The values are

0.75

,

0.222

,

0.139

and

0.049

(in units of

13.6

eV) for

2 \to 1

,

6 \to 2

,

3 \to 2

,

4 \to 3

respectively (with

6 \to 2

giving

0.222

), so

2 \to 1

is highest.

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