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Characteristic orange light produced by sodium in a flame is due to an intense emission

Chapter 17, Problem 17-5

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QUESTION:

Characteristic orange light produced by sodium in a flame is due to an intense emission called the sodium D line, which is actually a doublet, with wavelengths (measured in vacuum) of 589.157 88 and 589.755 37 nm. The index of refraction of air at a wavelength near 589 nm is 1.000 292 6. Calculate the frequency, wavelength, and wavenumber of each component of the D line, measured in air.

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QUESTION:

Characteristic orange light produced by sodium in a flame is due to an intense emission called the sodium D line, which is actually a doublet, with wavelengths (measured in vacuum) of 589.157 88 and 589.755 37 nm. The index of refraction of air at a wavelength near 589 nm is 1.000 292 6. Calculate the frequency, wavelength, and wavenumber of each component of the D line, measured in air.

ANSWER:

Step 1 of 4

To calculate the frequency, wavelength, and wavenumber of each component of the sodium

D line in air, we need to first calculate the wavelengths in air, since the index of refraction of air is given.

We can use the formula

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