Discussion
A wavelength of \( 2000 \ \mathrm{nm} \) corresponds to a wavenumber of
Answer: D
Converting through centimetres:
\[ \begin{aligned} \tilde{\nu} &= \frac{10^{7}}{\lambda_{\mathrm{nm}}} \\ &= \frac{10^{7}}{2000} \\ &= 5000 \ \mathrm{cm^{-1}} \end{aligned} \]
giving 5000 per centimetre. The factor of ten to the seventh converts nanometres to centimetres, and remembering it as a single constant is quicker than working through the units each time.
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