Discussion
Radiation of wavelength 5 \( \mu \)m corresponds to a wavenumber of
Answer: B
Correct answer: 2000 cm\( ^{-1} \)
Wavenumber is the reciprocal of the wavelength expressed in centimetres:
\[ \bar{\nu} = \frac{1}{5 \times 10^{-4}\ \mathrm{cm}} = 2000 \ \mathrm{cm}^{-1} \]The conversion is worth committing to memory as \( \bar{\nu} = 10^4/\lambda_{\mu m} \). Wavenumber is used in infrared spectroscopy because it is directly proportional to energy, so the axis is linear in the quantity that matters.
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