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A molecular vibration absorbs radiation of wavelength [tex]$99.1 \, \mu m$[/tex]. What frequency (in [tex]s^{-1}[/tex]) corresponds to that wavelength?

Enter your answer in scientific notation.

Answer :

Final answer:

The frequency corresponding to the given wavelength can be calculated using the formula c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency. By rearranging the formula, we can solve for the frequency. Substituting the values for the speed of light and the wavelength, we can calculate the frequency to be 3.03 × 10^12 s^-1.

Explanation:

The frequency (in s-1) corresponding to a wavelength of 99.1μm can be calculated using the formula:

c = λν

Where c is the speed of light, λ is the wavelength, and ν is the frequency.

By rearranging the formula, we can solve for the frequency:

ν = c / λ

Using the values for the speed of light, c (3.00 × 108 m/s), and the wavelength, λ (99.1μm = 99.1 × 10-6 m), we can calculate the frequency:

ν = (3.00 × 108 m/s) / (99.1 × 10-6 m)

ν = 3.03 × 1012 s-1

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