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Which Balmer transition gives the line of longest wavelength?

A $n = 3 \to n = 2$
B $n = 4 \to n = 2$
C $n = 5 \to n = 2$
D $n = \infty \to n = 2$

Answer: A

Longest wavelength means smallest energy gap. Among transitions ending at

n = 2

, the gap is smallest for

3 \to 2

and grows as the initial level rises, reaching the limit for

\infty \to 2

.

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