Discussion
A spectrum is recorded at \( 4 \ \mathrm{cm^{-1}} \) resolution. Doubling the mirror travel gives about
Answer: B
Resolution is inversely proportional to the maximum path difference:
\[ \begin{aligned} \Delta\tilde{\nu} &\propto \frac{1}{d} \\ &\Rightarrow 2 \ \mathrm{cm^{-1}} \end{aligned} \]
giving about 2 reciprocal centimetres, a finer figure since a smaller number means better resolution. Eight would be worse rather than better, which is the direction error to watch for whenever a resolution is quoted as a width.
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