Very simple problem about wavelength, just a double check on work

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The discussion revolves around calculating the wavelength and frequency of radiation given a wavenumber of 1200 cm^-1. The correct wavelength is determined to be approximately 8.33 x 10^-6 meters, and the corresponding frequency is calculated as 3.6 x 10^13 Hz. Participants confirm the calculations, noting that the definition of wavenumber can vary, but the provided solution is accurate under the assumption that wavenumber is defined as 1/λ. Clarifications about the context of wavenumber are discussed, emphasizing the importance of definitions in physics calculations. The final consensus is that the calculations are correct based on the given definitions.
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Homework Statement



radiation with a frequency of 1200cm^-1, calculate the wavelength in meters and the frequency in hertz



Homework Equations



wavenumber = 1/λ

freq = c/λ



The Attempt at a Solution



1200cm^-1 = 1/λ

λ = 8.33*10^-6 m

freq = (3.0 * 10^8)/(8.66*10^-6) = 3.6*10^13 Hz
 
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vande060 said:

Homework Statement



radiation with a frequency of 1200cm^-1, calculate the wavelength in meters and the frequency in hertz

Homework Equations



wavenumber = 1/λ

freq = c/λ

The Attempt at a Solution



1200cm^-1 = 1/λ

λ = 8.33*10^-6 m

freq = (3.0 * 10^8)/(8.66*10^-6) = 3.6*10^13 Hz
Hi vande060.

Looks good to me, & I'm a spectroscopist.

(I assume that's 1200 cm-1 in a vacuum.)
 
vande060 said:

Homework Statement



radiation with a frequency of 1200cm^-1, calculate the wavelength in meters and the frequency in hertz
Do you mean wavenumber?

Homework Equations



wavenumber = 1/λ

freq = c/λ



The Attempt at a Solution



1200cm^-1 = 1/λ

λ = 8.33*10^-6 m

freq = (3.0 * 10^8)/(8.66*10^-6) = 3.6*10^13 Hz
I think that's right. :approve: But realize that depending on the context, wavenumber sometimes is defined as 1/λ and sometimes defined as 2π/λ. The above looks right to me assuming that you are using the wavenumber = 1/λ definition, and assuming that you mean the wavenumber is 1200 cm-1.
 
Thanks, both of you
 
vande060 said:

radiation with a frequency of 1200cm^-1

if its wave number, then your answer is correct?
 
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