\textbf{57--} In the atomic spectrum of hydrogen in the Paschen series ($n' = 3$), the wavelength of the first spectral line is how many times the wavelength of the second spectral line of this series?
\[
\text{(1)}\ \frac{25}{64} \qquad \text{(2)}\ \frac{64}{25} \qquad \text{(3)}\ \frac{175}{276} \qquad \text{(4)}\ \frac{256}{175}
\]
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